Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

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

analyze66.0ms (0.3%)

Memory

34.9MiB live, 82.3MiB allocated; 2ms 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)

sample14.0s (73.1%)

Memory

9.7MiB live, 5 767.2MiB allocated; 4.3s collecting garbage

Samples

5.0s	26 488×	0	invalid
4.4s	5 686×	2	valid
803.0ms	2 496×	1	valid
15.0ms	74×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 7.6s

ival-cos: 3.4s (44.9% of total)

adjust: 919.0ms (12.1% of total)

const: 903.0ms (11.9% of total)

ival-add: 556.0ms (7.3% of total)

ival-mult: 463.0ms (6.1% of total)

ival-fabs: 423.0ms (5.6% of total)

ival-sub: 403.0ms (5.3% of total)

ival-<: 362.0ms (4.8% of total)

ival-and: 121.0ms (1.6% of total)

ival-assert: 26.0ms (0.3% of total)

Bogosity

explain353.0ms (1.8%)

Memory

-50.2MiB live, 64.4MiB allocated; 22ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
146	-	0	-	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
6	-	1	(-116.89445317728331 0.055035794274652106)	`(cos.f64 (+.f64 x eps))`
0	-	0	-	`eps`
0	-	0	-	`(+.f64 x eps)`
0	-	0	-	`(cos.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`	cancellation	146	0
`cos.f64`	`(cos.f64 (+.f64 x eps))`	sensitivity	5	2

Confusion

	Predicted +	Predicted -
+	146	1
-	0	109

Precision

1.0

Recall

0.9931972789115646

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	146	1	0
-	0	1	108

Precision?

0.9932432432432432

Recall?

1.0

Freqs

test

number	freq
0	110
1	141
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

216.0ms	304×	2	valid
50.0ms	200×	1	valid
1.0ms	8×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-cos: 140.0ms (68% of total)

adjust: 46.0ms (22.3% of total)

ival-sub: 11.0ms (5.3% of total)

ival-add: 8.0ms (3.9% of total)

ival-assert: 1.0ms (0.5% of total)

ival-true: 1.0ms (0.5% of total)

preprocess490.0ms (2.6%)

Memory

8.9MiB live, 54.1MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	48
1	53	48
2	93	48
3	124	48
4	132	48
5	154	48
6	238	48
7	800	48
8	5175	48
0	6	7
0	10	7
1	22	7
2	40	7
3	65	7
4	78	7
5	100	7
6	184	7
7	742	7
8	5073	7
0	8505	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series9.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Counts

6 → 36

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))

rewrite283.0ms (1.5%)

Memory

13.7MiB live, 58.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	544
0	153	528
1	883	525
0	8275	504

Stop Event

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

Counts

42 → 113

Calls

Call 1

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

eval21.0ms (0.1%)

Memory: 9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 017 to 430 computations (78.7% saved)

prune23.0ms (0.1%)

Memory

-37.5MiB live, 8.9MiB allocated; 5ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	99	12	111
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	13	112

Accuracy

99.8%

Counts

112 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.8%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	47.8%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
	47.8%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
▶	47.4%	(-.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))) (cos.f64 x))
	47.5%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓	47.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	45.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
▶	47.8%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
▶	45.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
▶	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
▶	79.1%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Compiler

Compiled 423 to 296 computations (30% saved)

series78.0ms (0.4%)

Memory

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

Counts

39 → 218

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2)))))))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (* 1/24 eps)))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* -1/48 (* eps (pow x 2))) (* 1/24 eps))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/576 (* eps (pow x 2))))))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* (pow x 2) (+ (* -1/17280 (* eps (pow x 2))) (* 1/576 eps))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (+ eps (* 1/2 (PI)))) 1)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI)))))) 1)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (* -1/2 (sin (+ eps (* 1/2 (PI)))))))))) 1)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))) 1)))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) #s(hole binary64 (sin (+ eps (* 1/2 (PI))))))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) #s(hole binary64 (+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI))))))))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) #s(hole binary64 (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* -1/2 (* x (sin (+ eps (* 1/2 (PI)))))))))))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) #s(hole binary64 (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ eps (* 1/2 (PI)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ eps (+ x (* 1/2 (PI))))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* -2 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/3 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* -1 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1/2 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1/2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/6 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 eps))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (PI))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* -1 (* x (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* -1/2 (* x (cos (* 1/2 (+ eps (PI)))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* x (+ (* -1/2 (cos (* 1/2 (+ eps (PI))))) (* 1/6 (* x (sin (* 1/2 (+ eps (PI)))))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 (+ eps (PI)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (+ x (* 1/2 (+ eps (PI))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (+ eps (+ (PI) (* 2 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (* 1/24 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (+ eps (+ x (* 1/2 (PI))))) (cos x))))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) #s(hole binary64 (sin (+ eps (+ x (* 1/2 (PI)))))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 x))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 x))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (+ (PI) (* 2 x)))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ eps (PI)) x))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* x (+ 2 (+ (/ eps x) (/ (PI) x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (- (+ eps (* 1/2 (PI))) (* -1 x))) (cos x))))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) #s(hole binary64 (sin (- (+ eps (* 1/2 (PI))) (* -1 x)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (- (+ eps (PI)) (* -2 x))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/6 (sin x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#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 (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (+ x (* 1/2 (PI)))) (cos x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI)))))) (cos x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI))))))))) (cos x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI))))))))))) (cos x))))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI))))))))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI)))))))))))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI)))))))))))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* 2 (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* 1/24 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 2 (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* 1/2 (* eps (cos (* 1/2 (+ (PI) (* 2 x))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (+ (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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 (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* -1/8 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* eps (+ (* -1/8 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 (+ (PI) (* 2 x)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (+ (* 1/2 eps) (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (+ (PI) (* 2 x))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/24 (* eps (cos x)))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (cos eps) 1) #s(hole binary64 (- (cos eps) 1)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 eps))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* eps (+ 1/2 (* 1/2 (/ (+ (PI) (* 2 x)) eps))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 eps))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* eps (+ 1 (+ (* 2 (/ x eps)) (/ (PI) eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (- (+ x (* 1/2 (PI))) (* -1 eps))) (cos x))))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) #s(hole binary64 (sin (- (+ x (* 1/2 (PI))) (* -1 eps)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* -1 (* eps (- (* -1/2 (/ (+ (PI) (* 2 x)) eps)) 1/2)))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (PI) (* 2 x)) eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) x 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) (cos x) eps 1/24 (* -1/2 (cos x)) -1/2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (sin (+ (/ (PI) 2) (+ eps x))) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (PI) 2 (+ eps x) (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)))
14.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) x 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) (cos x) eps 1/24 (* -1/2 (cos x)) -1/2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (sin (+ (/ (PI) 2) (+ eps x))) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (PI) 2 (+ eps x) (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)))
12.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) x 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) (cos x) eps 1/24 (* -1/2 (cos x)) -1/2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (sin (+ (/ (PI) 2) (+ eps x))) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (PI) 2 (+ eps x) (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)))
10.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) x 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) (cos x) eps 1/24 (* -1/2 (cos x)) -1/2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (sin (+ (/ (PI) 2) (+ eps x))) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (PI) 2 (+ eps x) (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)))
10.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) x 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) (cos x) eps 1/24 (* -1/2 (cos x)) -1/2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (sin (+ (/ (PI) 2) (+ eps x))) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (PI) 2 (+ eps x) (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)))

rewrite464.0ms (2.4%)

Memory

-8.0MiB live, 86.1MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	908	6992
0	970	6433
1	5479	6433
0	8557	6145

Stop Event

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

Counts

257 → 393

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))
(.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(sin.f64 x)
x
#s(literal 1/6 binary64)
(.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
eps
#s(literal 1/24 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(neg.f64 eps)
(-.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))) (cos.f64 x))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(+.f64 eps x)
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))))
(sin.f64 (/.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2)))))))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (* 1/24 eps)))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* -1/48 (* eps (pow x 2))) (* 1/24 eps))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/576 (* eps (pow x 2))))))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* (pow x 2) (+ (* -1/17280 (* eps (pow x 2))) (* 1/576 eps))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (+ eps (* 1/2 (PI)))) 1)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI)))))) 1)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (* -1/2 (sin (+ eps (* 1/2 (PI)))))))))) 1)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))) 1)))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) #s(hole binary64 (sin (+ eps (* 1/2 (PI))))))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) #s(hole binary64 (+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI))))))))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) #s(hole binary64 (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* -1/2 (* x (sin (+ eps (* 1/2 (PI)))))))))))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) #s(hole binary64 (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))))
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#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
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#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (* 1/24 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
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#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))))
#s(approx (+ eps x) #s(hole binary64 x))
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#s(approx (+ (/ (PI) 2) x) #s(hole binary64 x))
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#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (+ (PI) (* 2 x)))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 x))
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#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
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#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
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#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (- (+ eps (PI)) (* -2 x))))))
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#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
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#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
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#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/6 (sin x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
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#s(approx (cos eps) #s(hole binary64 1))
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#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 (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (+ x (* 1/2 (PI)))) (cos x))))
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#s(approx (sin (+ (/ (PI) 2) (+ eps x))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
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#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ x (* 1/2 (PI)))))
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#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* 2 (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* 1/24 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 2 (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* 1/2 (* eps (cos (* 1/2 (+ (PI) (* 2 x))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))
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#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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 (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ (PI) (* 2 x))))))
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#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* -1/8 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
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#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 (+ (PI) (* 2 x)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (+ (* 1/2 eps) (* 1/2 (+ (PI) (* 2 x))))))
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#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/24 (* eps (cos x)))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (cos eps) 1) #s(hole binary64 (- (cos eps) 1)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 eps))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* eps (+ 1/2 (* 1/2 (/ (+ (PI) (* 2 x)) eps))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 eps))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* eps (+ 1 (+ (* 2 (/ x eps)) (/ (PI) eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (- (+ x (* 1/2 (PI))) (* -1 eps))) (cos x))))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) #s(hole binary64 (sin (- (+ x (* 1/2 (PI))) (* -1 eps)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* -1 (* eps (- (* -1/2 (/ (+ (PI) (* 2 x)) eps)) 1/2)))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (PI) (* 2 x)) eps)) 1)))))

Outputs
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (.f64 (sin.f64 x) (sin.f64 x))) (fma.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))))
(-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))
(.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(.f64 eps (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) eps))
(fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) eps))
(+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (-.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (-.f64 (.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(fma.f64 eps (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (neg.f64 eps) (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))))
(-.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(+.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/6 binary64) (sin.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))) (-.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 x)) (.f64 #s(literal -1/6 binary64) (sin.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/13824 binary64) (pow.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))))
(fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))
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(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64))))) #s(literal 2 binary64))
(sin.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(-.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) #s(literal -2 binary64))
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (fma.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (*.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))
(-.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x)
(-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (+.f64 eps x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 x x)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64))))
(cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64)))
(+.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x))) #s(literal -2 binary64))
(/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64))
(+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (-.f64 (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x)
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x))
(+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (+.f64 eps x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (fma.f64 (-.f64 (.f64 (+.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/36 binary64) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (-.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (.f64 eps x) #s(literal -1/36 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 (fma.f64 (.f64 eps x) #s(literal -1/48 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/24 binary64) eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) x (.f64 #s(literal -1/48 binary64) eps)) x #s(literal 1/6 binary64)) x (.f64 #s(literal 1/24 binary64) eps)))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (* (* (cos x) eps) 1/24) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/48 binary64) (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/48 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/17280 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/576 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/48 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/24 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 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64))
#s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) x (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (fma.f64 (fma.f64 (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))) x (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) x) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)))) x (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))) x (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))) #s(literal 1 binary64)))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) x (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))) x (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64))) x (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))) x (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))))
#s(approx (+ (/ (PI) 2) (+ eps x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))
#s(approx (+ (/ (PI) 2) (+ eps x)) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (fma.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 #s(literal -2 binary64) x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (.f64 (neg.f64 x) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))) x (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))) x (.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))) x (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (fma.f64 (neg.f64 x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (neg.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (neg.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) eps)
#s(approx (+ (/ (PI) 2) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 (neg.f64 x) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) x (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 (-.f64 (.f64 (fma.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))) x) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) x (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+.f64 (PI.f64) eps))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (* (cos x) eps) 1/24) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (cos x) (cos.f64 x))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x)))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)))
#s(approx (+ (/ (PI) 2) (+ eps x)) x)
#s(approx (+ (/ (PI) 2) (+ eps x)) (*.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) x) #s(literal 1 binary64)) x))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (/ (PI) 2) x) x)
#s(approx (+ (/ (PI) 2) x) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) x)
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 (PI.f64) eps) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (*.f64 (+.f64 (/.f64 (+.f64 (PI.f64) eps) x) #s(literal 2 binary64)) x))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (neg.f64 x))) (cos.f64 x)))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (neg.f64 x))))
#s(approx (+ (/ (PI) 2) (+ eps x)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) x)) #s(literal 1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (/ (PI) 2) x) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (+.f64 (PI.f64) eps) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (+.f64 (PI.f64) eps) x)) #s(literal 2 binary64))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
#s(approx eps eps)
#s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (cos eps) #s(literal 1 binary64))
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (neg eps) (neg.f64 eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (cos.f64 x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) (cos.f64 x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) (cos.f64 x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))) eps (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) (cos.f64 x)))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))) eps (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (+ (/ (PI) 2) (+ eps x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) eps) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64)) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) eps (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64)) #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/24 binary64) eps) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))))) eps (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) eps (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))) eps))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) eps) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) eps))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64)) eps (.f64 #s(literal -1/4 binary64) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))))) eps (.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) eps))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64) (.f64 (.f64 #s(literal 1/48 binary64) eps) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))))) eps (.f64 #s(literal -1/4 binary64) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))))) eps (.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) eps))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) eps) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) eps (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) eps) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) (.f64 #s(literal -1/8 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))))) eps (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) eps (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64)))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (fma.f64 #s(literal 2 binary64) x (PI.f64)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 4 binary64))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (cos.f64 x)))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 3 binary64))) (cos.f64 x)))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) (cos.f64 x)))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (.f64 (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (.f64 eps eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) eps))
#s(approx (- (cos eps) 1) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (+ (/ (PI) 2) (+ eps x)) eps)
#s(approx (+ (/ (PI) 2) (+ eps x)) (*.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps) #s(literal 1 binary64)) eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) eps)
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps))) eps)))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64)))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps))) (*.f64 eps eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (neg.f64 eps))) (cos.f64 x)))
#s(approx (sin (+ (/ (PI) 2) (+ eps x))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (neg.f64 eps))))
#s(approx (+ (/ (PI) 2) (+ eps x)) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) #s(literal 1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (.f64 (cos.f64 (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (cos.f64 (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps)) #s(literal 1 binary64))))

eval135.0ms (0.7%)

Memory: 8.3MiB live, 53.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 19 479 to 2 527 computations (87% saved)

prune67.0ms (0.3%)

Memory

-10.7MiB live, 37.0MiB allocated; 2ms collecting garbage

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	504	28	532
Fresh	3	4	7
Picked	4	1	5
Done	0	1	1
Total	511	34	545

Accuracy

99.9%

Counts

545 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.8%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	47.8%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
	47.8%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	45.5%	(-.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))) #s(approx (cos x) #s(literal 1 binary64)))
✓	47.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	45.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	47.4%	(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))
	47.8%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
▶	14.7%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
	14.7%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
	14.5%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
	14.1%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
▶	99.0%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
	98.9%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	13.2%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))
	45.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	45.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
	97.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
✓	79.1%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	77.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
	77.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
	77.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
	76.9%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
	96.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
	95.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
▶	95.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
	46.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
	96.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
	95.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
	95.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
	77.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
	77.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
	77.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))

Compiler

Compiled 2 352 to 1 454 computations (38.2% saved)

series74.0ms (0.4%)

Memory

25.0MiB live, 25.0MiB allocated; 0ms collecting garbage

Counts

53 → 286

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (+ eps (* 1/2 (PI)))) 1)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI)))))) 1)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (* -1/2 (sin (+ eps (* 1/2 (PI)))))))))) 1)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))) 1)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* 1/4 eps))))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 -1/2))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/36 (* 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 (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* -2 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/3 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* -1 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1/2 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1/2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/6 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (PI))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* -1 (* x (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* -1/2 (* x (cos (* 1/2 (+ eps (PI)))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* x (+ (* -1/2 (cos (* 1/2 (+ eps (PI))))) (* 1/6 (* x (sin (* 1/2 (+ eps (PI)))))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 (+ eps (PI)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (+ x (* 1/2 (+ eps (PI))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (+ eps (+ (PI) (* 2 x)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ eps (* 1/2 (PI)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ eps (+ x (* 1/2 (PI))))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (+ eps (+ x (* 1/2 (PI))))) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* x (- (* 1/6 (pow eps 2)) 1))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* x (- (+ (* 1/6 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) 1))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (+ (PI) (* 2 x)))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ eps (PI)) x))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* x (+ 2 (+ (/ eps x) (/ (PI) x))))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 x))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 x))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (- (+ eps (* 1/2 (PI))) (* -1 x))) (cos x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* -1 (* x (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* -1 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (- (+ eps (PI)) (* -2 x))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 2)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (+ x (* 1/2 (PI)))) (cos x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI)))))) (cos x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI))))))))) (cos x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI))))))))))) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#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) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2)))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (* eps (+ (* 1/24 eps) (* 1/6 x))) 1/2)))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 -1))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (* (* eps eps) 1/6) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) eps) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (* eps eps) 1/24) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* eps eps) 1/24) 1/2) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (* (* eps eps) 1/24) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos x)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* 2 (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* 1/24 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 2 (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* 1/2 (* eps (cos (* 1/2 (+ (PI) (* 2 x))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (+ (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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 (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 -1/48))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (- (* 1/3840 (pow eps 2)) 1/48)))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) #s(hole binary64 (* 1/3840 (pow eps 2))))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2))))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 1/3840))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (+ 1/3840 (* -1/645120 (pow eps 2)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* -1/8 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* eps (+ (* -1/8 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 (+ (PI) (* 2 x)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (+ (* 1/2 eps) (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (+ (PI) (* 2 x))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (cos eps) 1) #s(hole binary64 (- (cos eps) 1)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* 1/24 (pow eps 3))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* (pow eps 3) (+ 1/24 (* 1/6 (/ x eps))))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* (pow eps 3) (- (+ 1/24 (* 1/6 (/ x eps))) (/ 1/2 (pow eps 2))))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* (pow eps 3) (- (+ 1/24 (+ (* -1 (/ x (pow eps 3))) (* 1/6 (/ x eps)))) (/ 1/2 (pow eps 2))))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) eps) #s(hole binary64 (* 1/24 (pow eps 3))))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) eps) #s(hole binary64 (* (pow eps 3) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (- (* (* eps eps) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (- (* (* eps eps) 1/24) 1/2) #s(hole binary64 (* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1/645120 (pow eps 7))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 7) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* -1/645120 (pow eps 6))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (* -1/645120 (pow eps 4))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(hole binary64 (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) (+ 1/645120 (/ 1/48 (pow eps 4)))))))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) #s(hole binary64 (* -1/645120 (pow eps 4))))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (* -1/645120 (pow eps 2))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(hole binary64 (* (pow eps 2) (- (* 1/3840 (/ 1 (pow eps 2))) 1/645120))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* eps (+ 1/2 (* 1/2 (/ (+ (PI) (* 2 x)) eps))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 eps))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* eps (+ 1 (+ (* 2 (/ x eps)) (/ (PI) eps))))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 eps))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (- (+ x (* 1/2 (PI))) (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1/6 (/ x eps)) 1/24)))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (- (* 1/6 x) (* 1/2 (/ 1 eps))) eps)) 1/24)))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)) eps)) 1/24)))))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* -1 (* eps (- (* -1/2 (/ (+ (PI) (* 2 x)) eps)) 1/2)))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (PI) (* 2 x)) eps)) 1)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	((- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) (* eps eps) (* (- (* (* eps eps) 1/24) 1/2) eps) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/24 1/2 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) (+ (* -1/645120 (* eps eps)) 1/3840) -1/645120 1/3840 1/48 (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (PI) (+ eps x) (+ (/ (PI) 2) x))
12.0ms	eps	@	-inf	((- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) (* eps eps) (* (- (* (* eps eps) 1/24) 1/2) eps) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/24 1/2 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) (+ (* -1/645120 (* eps eps)) 1/3840) -1/645120 1/3840 1/48 (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (PI) (+ eps x) (+ (/ (PI) 2) x))
11.0ms	eps	@	inf	((- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) (* eps eps) (* (- (* (* eps eps) 1/24) 1/2) eps) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/24 1/2 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) (+ (* -1/645120 (* eps eps)) 1/3840) -1/645120 1/3840 1/48 (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (PI) (+ eps x) (+ (/ (PI) 2) x))
9.0ms	x	@	inf	((- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) (* eps eps) (* (- (* (* eps eps) 1/24) 1/2) eps) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/24 1/2 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) (+ (* -1/645120 (* eps eps)) 1/3840) -1/645120 1/3840 1/48 (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (PI) (+ eps x) (+ (/ (PI) 2) x))
7.0ms	x	@	0	((- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) (* eps eps) (* (- (* (* eps eps) 1/24) 1/2) eps) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/24 1/2 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) (+ (* -1/645120 (* eps eps)) 1/3840) -1/645120 1/3840 1/48 (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (PI) (+ eps x) (+ (/ (PI) 2) x))

rewrite471.0ms (2.5%)

Memory

-14.1MiB live, 84.3MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1093	8875
0	1162	8318
1	6321	8318
0	8829	7985

Stop Event

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

Counts

339 → 486

Calls

Call 1

Inputs
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) eps)
(sin.f64 x)
x
eps
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (cos eps) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
(.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps)
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
(fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
(-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(*.f64 eps eps)
(.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)
(-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 eps eps) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (cos x) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
#s(literal 2 binary64)
(.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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))
(.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)
(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))
(-.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 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps))
(fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64))
#s(literal -1/645120 binary64)
#s(literal 1/3840 binary64)
#s(literal 1/48 binary64)
(cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(+.f64 eps x)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (+ eps (* 1/2 (PI)))) 1)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI)))))) 1)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (* -1/2 (sin (+ eps (* 1/2 (PI)))))))))) 1)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))) 1)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* 1/4 eps))))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 -1/2))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/36 (* 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 (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
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#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* -2 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/3 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* -1 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1/2 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1/2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/6 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (PI))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* -1 (* x (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* -1/2 (* x (cos (* 1/2 (+ eps (PI)))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* x (+ (* -1/2 (cos (* 1/2 (+ eps (PI))))) (* 1/6 (* x (sin (* 1/2 (+ eps (PI)))))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 (+ eps (PI)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (+ x (* 1/2 (+ eps (PI))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (+ eps (+ (PI) (* 2 x)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ eps (* 1/2 (PI)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ eps (+ x (* 1/2 (PI))))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (+ eps (+ x (* 1/2 (PI))))) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* x (- (* 1/6 (pow eps 2)) 1))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* x (- (+ (* 1/6 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) 1))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (+ (PI) (* 2 x)))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ eps (PI)) x))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* x (+ 2 (+ (/ eps x) (/ (PI) x))))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 x))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 x))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (- (+ eps (* 1/2 (PI))) (* -1 x))) (cos x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* -1 (* x (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* -1 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (- (+ eps (PI)) (* -2 x))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 2)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (+ x (* 1/2 (PI)))) (cos x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI)))))) (cos x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI))))))))) (cos x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI))))))))))) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#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) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2)))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (* eps (+ (* 1/24 eps) (* 1/6 x))) 1/2)))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 -1))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (* (* eps eps) 1/6) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) eps) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (* eps eps) 1/24) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* eps eps) 1/24) 1/2) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (* (* eps eps) 1/24) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos x)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))))
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#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- 1/645120 (* 1/3840 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (* 1/3840 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/645120 (/ 1/48 (pow eps 4))) (+ (* 1/3840 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* -1 (* eps (- (* -1/2 (/ (+ (PI) (* 2 x)) eps)) 1/2)))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (PI) (* 2 x)) eps)) 1)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Outputs
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (.f64 (sin.f64 x) (sin.f64 x))) (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))))
(-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) eps))
(fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) eps))
(+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (-.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))))))
(fma.f64 (.f64 #s(literal 1/6 binary64) eps) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (sin.f64 x) (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
(-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 x) eps)))
(+.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
(*.f64 (sin.f64 x) eps)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
x
eps
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(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)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(approx (cos eps) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(approx (cos eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (cos eps) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) eps))
(.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) eps)
(.f64 eps #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) (-.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) (-.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))))
(fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
(fma.f64 x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
(fma.f64 eps (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(-.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) (.f64 (neg.f64 x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(-.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 (neg.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps))
(+.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(+.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(.f64 eps (.f64 #s(literal 1/6 binary64) eps))
(*.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)
(.f64 eps (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 eps eps) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 eps eps))
(.f64 eps (.f64 #s(literal 1/24 binary64) eps))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)))) (+.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps)) (cos.f64 x) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps)) (sin.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 (neg.f64 (+.f64 x eps)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
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(cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64)))
(+.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x)) #s(literal -2 binary64))
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))
(+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (-.f64 (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (+.f64 x eps) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x))
(+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (+.f64 x eps) (+.f64 x eps))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x eps) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps)))))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 x eps))
(+.f64 (+.f64 x eps) (/.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)
(/.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)
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 x x)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal 1 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))) #s(literal 1 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (fma.f64 (fma.f64 (fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))) x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))) #s(literal 1 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) x) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)))) x (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))) x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))) #s(literal 1 binary64)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 x eps) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (fma.f64 (fma.f64 (.f64 x eps) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) (.f64 eps eps)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (.f64 x eps) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 x eps) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) x (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64)))
#s(approx (* (sin x) eps) (*.f64 x eps))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64))
#s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (fma.f64 (-.f64 (.f64 (+.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps) (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) (.f64 eps eps) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 eps eps) (.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x)))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x)))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)))
#s(approx (cos (+ x eps)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) x (cos.f64 eps)))
#s(approx (cos (+ x eps)) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) x) (sin.f64 eps)) x (cos.f64 eps)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 x eps))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (fma.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 #s(literal -2 binary64) x) (.f64 (sin.f64 (.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))))
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#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (fma.f64 (neg.f64 x) (.f64 (sin.f64 (.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64)))) (neg.f64 (.f64 (sin.f64 (.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (sin.f64 (.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (.f64 (cos.f64 (.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) x (neg.f64 (.f64 (sin.f64 (.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 (neg.f64 x) (sin.f64 (.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (cos.f64 (.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64)))) (sin.f64 (.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64)))) x (cos.f64 (*.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (sin.f64 (.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) x) (sin.f64 (.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64)))) x (cos.f64 (*.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+.f64 eps (PI.f64)))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps))
#s(approx (+ (/ (PI) 2) (+ eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))
#s(approx (+ (/ (PI) 2) (+ eps x)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) eps))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 x eps))
#s(approx (+ (/ (PI) 2) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (/ (PI) 2) x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) eps)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (sin x) (sin.f64 x))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (.f64 (-.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) (.f64 eps (/.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) x))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 x eps)))
#s(approx (+ x eps) x)
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (cos.f64 (.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) x)
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 eps (PI.f64)) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (*.f64 x #s(literal 2 binary64)))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (*.f64 (+.f64 (/.f64 (+.f64 eps (PI.f64)) x) #s(literal 2 binary64)) x))
#s(approx (+ (/ (PI) 2) (+ eps x)) x)
#s(approx (+ (/ (PI) 2) (+ eps x)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x) #s(literal 1 binary64)) x))
#s(approx (+ x eps) x)
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (+ (/ (PI) 2) x) x)
#s(approx (+ (/ (PI) 2) x) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) (neg.f64 x))) (cos.f64 x)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (.f64 (neg.f64 x) (fma.f64 (.f64 eps (/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64) (neg.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 eps (neg.f64 x))))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (cos.f64 (.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (+.f64 eps (PI.f64)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (+.f64 eps (PI.f64)) x)) #s(literal 2 binary64))))
#s(approx (+ (/ (PI) 2) (+ eps x)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x)) #s(literal 1 binary64))))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (+ (/ (PI) 2) x) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 x)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) (cos.f64 x)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) (cos.f64 x)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (fma.f64 (fma.f64 (fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) eps))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx eps eps)
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(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)))
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#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (neg.f64 x))
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#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 x eps) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) eps (.f64 #s(literal 1/6 binary64) x)) eps) #s(literal 1/2 binary64)) eps (neg.f64 x)))
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#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) eps) (*.f64 #s(literal -1/2 binary64) eps))
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#s(approx (cos (+ x eps)) (cos.f64 x))
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#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64)) #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/24 binary64) eps) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))))) eps (.f64 (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) eps (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)))) eps))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (.f64 #s(literal 1/2 binary64) eps) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) eps) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) eps))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64)) eps (.f64 #s(literal -1/4 binary64) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))))) eps (.f64 (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) eps))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64) (.f64 (.f64 #s(literal 1/48 binary64) eps) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))))) eps (.f64 #s(literal -1/4 binary64) (sin.f64 (.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))))) eps (.f64 (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) eps))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) eps) eps) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
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#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) eps) eps) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64))
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#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))
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#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) #s(literal -1/48 binary64))
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#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) (.f64 (.f64 eps eps) #s(literal 1/3840 binary64)))
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#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) #s(literal 1/3840 binary64))
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#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))))
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#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (fma.f64 x #s(literal 2 binary64) (PI.f64)))
#s(approx (+ (/ (PI) 2) (+ eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
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#s(approx (- (cos eps) 1) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (cos eps) (cos.f64 eps))
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#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (.f64 (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (- (* (* eps eps) 1/6) 1) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))
#s(approx (- (* (* eps eps) 1/6) 1) (.f64 (-.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal -2 binary64))) (.f64 eps eps)))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) eps) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/24 binary64)))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) eps) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (- (* (* eps eps) 1/24) 1/2) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))
#s(approx (- (* (* eps eps) 1/24) 1/2) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (*.f64 eps eps)))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal -1/645120 binary64)))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64)) #s(literal 1/645120 binary64)) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64)) #s(literal 1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64))) #s(literal 1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/645120 binary64)))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64)) #s(literal 1/645120 binary64))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64)) #s(literal 1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))))))
#s(approx (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) (.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64))) #s(literal 1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/645120 binary64)))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64)) #s(literal 1/645120 binary64)) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64)) #s(literal 1/645120 binary64)) (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/645120 binary64)))
#s(approx (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64)) #s(literal 1/645120 binary64)) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) (.f64 (.f64 eps eps) #s(literal -1/645120 binary64)))
#s(approx (+ (* -1/645120 (* eps eps)) 1/3840) (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64)) #s(literal 1/645120 binary64)) (*.f64 eps eps)))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) eps)
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (*.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps) #s(literal 1 binary64)) eps))
#s(approx (+ (/ (PI) 2) (+ eps x)) eps)
#s(approx (+ (/ (PI) 2) (+ eps x)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) eps) #s(literal 1 binary64)) eps))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) (neg.f64 eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (neg.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (neg.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))) eps))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64))) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (neg.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps))) eps))) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (neg.f64 (.f64 (-.f64 (.f64 (/.f64 x eps) #s(literal -1/6 binary64)) #s(literal 1/24 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) x (neg.f64 (/.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))) eps)) #s(literal 1/24 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (* (- (* (* eps eps) 1/24) 1/2) eps) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) #s(literal 1/24 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (.f64 (cos.f64 (.f64 (-.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (cos.f64 (.f64 (-.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (neg.f64 (.f64 (-.f64 #s(literal 1/645120 binary64) (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64))) (pow.f64 eps #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (neg.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/645120 binary64)) (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64))) (pow.f64 eps #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -1/645120 (* eps eps)) 1/3840) (* eps eps)) 1/48) (* eps eps)) 1/2) eps) (neg.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/645120 binary64)) (fma.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/3840 binary64)))) (pow.f64 eps #s(literal 7 binary64)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps)) #s(literal 1 binary64))))
#s(approx (+ (/ (PI) 2) (+ eps x)) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) eps)) #s(literal 1 binary64))))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))

eval138.0ms (0.7%)

Memory: 12.6MiB live, 57.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 28 724 to 2 905 computations (89.9% saved)

prune82.0ms (0.4%)

Memory

-1.4MiB live, 44.9MiB allocated; 8ms collecting garbage

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	543	17	560
Fresh	13	14	27
Picked	3	2	5
Done	0	2	2
Total	559	35	594

Accuracy

100.0%

Counts

594 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.8%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	47.8%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	45.5%	(-.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))) #s(approx (cos x) #s(literal 1 binary64)))
✓	47.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	45.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	14.4%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	51.9%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	14.8%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x)))))
	14.7%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (.f64 (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps)))))
	97.9%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
▶	98.9%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
▶	97.5%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	98.1%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
	13.2%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))
▶	96.1%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	95.6%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 x eps) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
	46.9%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
	96.3%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	95.8%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	43.1%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (pow.f64 eps #s(literal 3 binary64)))))
	45.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	45.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
✓	79.1%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	77.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
▶	77.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
	77.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
▶	76.9%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
	96.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x))) eps))
	47.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (* (* eps eps) 1/6) 1) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
	95.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))) eps))
	95.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps) (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
	77.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
	77.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
	77.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))

Compiler

Compiled 2 549 to 1 639 computations (35.7% saved)

series85.0ms (0.4%)

Memory

-28.5MiB live, 24.4MiB allocated; 9ms collecting garbage

Counts

49 → 223

Calls

Call 1

Inputs
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps)
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x))
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
x
eps
#s(literal -1/2 binary64)
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
(*.f64 (neg.f64 eps) #s(approx (sin x) x))
(neg.f64 eps)
#s(approx (sin x) x)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
(.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (sin x) (.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))
(.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)
(fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
(.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))
(fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps))
(fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64))
#s(literal -1/36 binary64)
(*.f64 eps eps)
(*.f64 #s(literal 1/4 binary64) eps)
#s(literal 1/4 binary64)
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(*.f64 #s(literal -1/2 binary64) eps)
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)
(-.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x))
(.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps)
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64)))
(-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x)
(fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps))
(*.f64 #s(literal 1/6 binary64) eps)
#s(literal 1/2 binary64)

Outputs
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (+ eps (* 1/2 (PI)))) 1)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI)))))) 1)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (* -1/2 (sin (+ eps (* 1/2 (PI)))))))))) 1)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))) 1)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 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 (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 (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 (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* 1/120 (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2)))))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* 1/4 eps)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* 1/4 eps))))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 -1/2))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/36 (* eps x)))))) 1/2)))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* 1/6 (* eps x))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* x (+ (* 1/6 eps) (* 1/4 x)))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* 1/6 eps)))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (+ (* 1/6 eps) (* 1/4 x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (+ eps (+ x (* 1/2 (PI))))) (cos x))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* -1/36 (pow eps 2)) (* 1/4 (/ eps x)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x))))) (/ 1 (pow x 2))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (+ (* -1/2 (/ eps (pow x 3))) (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x)))))) (/ 1 (pow x 2))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/36 (pow eps 2))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* -1/36 (pow eps 2)) (* 1/4 (/ eps x)))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow x 2) (- (+ 1/6 (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x))))) (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/36 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* -1/36 (pow eps 2)) (* 1/4 (/ eps x)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x))))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* x (+ 1/6 (* -1/36 (pow eps 2))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* x (+ 1/6 (+ (* -1/36 (pow eps 2)) (* 1/4 (/ eps x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* 1/6 (/ eps x))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1/4 (* 1/6 (/ eps x))) (/ 1/2 (pow x 2))))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* (pow x 2) (+ 1/4 (* 1/6 (/ eps x))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* 1/4 x)))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* x (+ 1/4 (* 1/6 (/ eps x))))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (- (+ eps (* 1/2 (PI))) (* -1 x))) (cos x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1/4 (/ eps x)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1 (/ (- (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps)) (/ 1 x)) x)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x))) x)) (* 1/4 eps)) x)))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/6 (pow eps 2)) 1) x)) (* -1/4 eps)) x)) (* -1/36 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* -1 (/ (+ (* -1/4 eps) (* -1/6 (/ (pow eps 2) x))) x)) (* -1/36 (pow eps 2)))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1/6 (* -1/36 (pow eps 2)))) (* -1/4 (/ eps x)))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/6 eps) (* 1/2 (/ 1 x))) x))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* -1 (* x (- (* -1/6 (/ eps x)) 1/4)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (+ x (* 1/2 (PI)))) (cos x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI)))))) (cos x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI))))))))) (cos x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI))))))))))) (cos x))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* x (- (* 1/6 (pow x 2)) 1))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* eps (- (+ (* 1/4 (pow x 2)) (* eps (* x (+ 1/6 (* -1/36 (pow x 2)))))) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* 1/6 (pow x 2)) 1)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 1/6 (pow x 2)) (* eps (+ (* 1/4 x) (* eps (+ 1/6 (* -1/36 (pow x 2))))))) 1)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x)))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow x 2)) (* eps (+ (* 1/4 x) (* eps (+ 1/6 (* -1/36 (pow x 2)))))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (+ (* 1/6 x) (* 1/4 eps))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (+ (* 1/6 x) (* eps (+ 1/4 (* -1/36 (* eps x)))))))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 (+ 1/6 (* -1/36 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* 1/4 eps) #s(hole binary64 (* 1/4 eps)))
#s(approx (* (* eps eps) 1/6) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2)))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2)))))
#s(approx (* 1/6 eps) #s(hole binary64 (* 1/6 eps)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/6 (* -1/36 (pow x 2)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/4 (/ (pow x 2) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/4 (/ (pow x 2) eps)) (+ (* x (+ 1/6 (* -1/36 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) (pow eps 2)))) (* 1/2 (/ 1 eps))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* -1/36 (pow x 2))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1/36 (pow x 2)) (* 1/4 (/ x eps)))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (+ 1/6 (+ (* -1/36 (pow x 2)) (+ (* 1/6 (/ (pow x 2) (pow eps 2))) (* 1/4 (/ x eps))))) (/ 1 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* -1/36 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1/36 (pow x 2)) (* 1/4 (/ x eps)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1/36 (pow x 2)) (+ (* 1/6 (/ (pow x 2) (pow eps 2))) (* 1/4 (/ x eps))))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* -1/36 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/36 x) (* 1/4 (/ 1 eps))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/36 x) (+ (* 1/6 (/ x (pow eps 2))) (* 1/4 (/ 1 eps)))))))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 (* -1/36 (pow eps 2))))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 (* (pow eps 2) (- (* 1/6 (/ 1 (pow eps 2))) 1/36))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* 1/6 (* eps x))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* eps (- (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* eps (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* eps (+ 1/6 (* 1/4 (/ x eps))))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (- (+ x (* 1/2 (PI))) (* -1 eps))) (cos x))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2)))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/6 (pow x 2)) 1) eps)) (* -1/4 x)) eps)) (* -1/36 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1 (/ (+ (* -1/4 x) (* -1/6 (/ (pow x 2) eps))) eps)) (* -1/36 (pow x 2)))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* -1/6 (/ x eps)) 1/4) eps)) (* -1/36 x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (- (* 1/4 (pow x 2)) 1/2) eps)) (* -1/6 x))))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* -1 (* eps (+ (* -1/4 (/ (pow x 2) eps)) (* -1/6 x))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* -1 (* eps (- (* -1/4 (/ x eps)) 1/6)))))

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	eps	@	inf	((- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (cos x) x eps -1/2 (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x) 1/6 1 (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* eps eps) (* 1/4 eps) 1/4 (* (* eps eps) 1/6) (* -1/2 eps) (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (* (+ (* 1/4 x) (* 1/6 eps)) x) (+ (* 1/4 x) (* 1/6 eps)) (* 1/6 eps) 1/2)
13.0ms	eps	@	-inf	((- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (cos x) x eps -1/2 (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x) 1/6 1 (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* eps eps) (* 1/4 eps) 1/4 (* (* eps eps) 1/6) (* -1/2 eps) (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (* (+ (* 1/4 x) (* 1/6 eps)) x) (+ (* 1/4 x) (* 1/6 eps)) (* 1/6 eps) 1/2)
11.0ms	x	@	-inf	((- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (cos x) x eps -1/2 (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x) 1/6 1 (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* eps eps) (* 1/4 eps) 1/4 (* (* eps eps) 1/6) (* -1/2 eps) (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (* (+ (* 1/4 x) (* 1/6 eps)) x) (+ (* 1/4 x) (* 1/6 eps)) (* 1/6 eps) 1/2)
11.0ms	x	@	inf	((- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (cos x) x eps -1/2 (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x) 1/6 1 (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* eps eps) (* 1/4 eps) 1/4 (* (* eps eps) 1/6) (* -1/2 eps) (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (* (+ (* 1/4 x) (* 1/6 eps)) x) (+ (* 1/4 x) (* 1/6 eps)) (* 1/6 eps) 1/2)
9.0ms	eps	@	0	((- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (cos x) x eps -1/2 (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x) 1/6 1 (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* eps eps) (* 1/4 eps) 1/4 (* (* eps eps) 1/6) (* -1/2 eps) (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (* (+ (* 1/4 x) (* 1/6 eps)) x) (+ (* 1/4 x) (* 1/6 eps)) (* 1/6 eps) 1/2)

rewrite393.0ms (2%)

Memory

32.7MiB live, 76.6MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	864	6582
0	922	6378
1	5189	6378
0	8034	6133

Stop Event

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

Counts

272 → 411

Calls

Call 1

Inputs
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps)
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x))
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
x
eps
#s(literal -1/2 binary64)
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
(*.f64 (neg.f64 eps) #s(approx (sin x) x))
(neg.f64 eps)
#s(approx (sin x) x)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
(.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (sin x) (.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))
(.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)
(fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
(.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))
(fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps))
(fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64))
#s(literal -1/36 binary64)
(*.f64 eps eps)
(*.f64 #s(literal 1/4 binary64) eps)
#s(literal 1/4 binary64)
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(*.f64 #s(literal -1/2 binary64) eps)
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)
(-.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x))
(.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps)
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64)))
(-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x)
(fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps))
(*.f64 #s(literal 1/6 binary64) eps)
#s(literal 1/2 binary64)
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (+ eps (* 1/2 (PI)))) 1)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI)))))) 1)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (* -1/2 (sin (+ eps (* 1/2 (PI)))))))))) 1)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))) 1)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 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 (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 (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 (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* 1/120 (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2)))))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* 1/4 eps)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* 1/4 eps))))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 -1/2))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/36 (* eps x)))))) 1/2)))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* 1/6 (* eps x))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* x (+ (* 1/6 eps) (* 1/4 x)))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* 1/6 eps)))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (+ (* 1/6 eps) (* 1/4 x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (+ eps (+ x (* 1/2 (PI))))) (cos x))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* -1/36 (pow eps 2)) (* 1/4 (/ eps x)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x))))) (/ 1 (pow x 2))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (+ (* -1/2 (/ eps (pow x 3))) (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x)))))) (/ 1 (pow x 2))))))
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#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (- (+ eps (* 1/2 (PI))) (* -1 x))) (cos x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
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#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* -1 (* x (- (* -1/6 (/ eps x)) 1/4)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (+ x (* 1/2 (PI)))) (cos x))))
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#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx eps #s(hole binary64 eps))
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#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
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#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
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#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* eps (- (+ (* 1/4 (pow x 2)) (* eps (* x (+ 1/6 (* -1/36 (pow x 2)))))) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* 1/6 (pow x 2)) 1)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 1/6 (pow x 2)) (* eps (+ (* 1/4 x) (* eps (+ 1/6 (* -1/36 (pow x 2))))))) 1)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x)))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow x 2)) (* eps (+ (* 1/4 x) (* eps (+ 1/6 (* -1/36 (pow x 2)))))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (+ (* 1/6 x) (* 1/4 eps))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (+ (* 1/6 x) (* eps (+ 1/4 (* -1/36 (* eps x)))))))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 (+ 1/6 (* -1/36 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* 1/4 eps) #s(hole binary64 (* 1/4 eps)))
#s(approx (* (* eps eps) 1/6) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2)))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2)))))
#s(approx (* 1/6 eps) #s(hole binary64 (* 1/6 eps)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
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#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/6 (* -1/36 (pow x 2)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/4 (/ (pow x 2) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/4 (/ (pow x 2) eps)) (+ (* x (+ 1/6 (* -1/36 (pow x 2)))) (/ (* x (- (* 1/6 (pow x 2)) 1)) (pow eps 2)))) (* 1/2 (/ 1 eps))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* -1/36 (pow x 2))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1/36 (pow x 2)) (* 1/4 (/ x eps)))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (+ 1/6 (+ (* -1/36 (pow x 2)) (+ (* 1/6 (/ (pow x 2) (pow eps 2))) (* 1/4 (/ x eps))))) (/ 1 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* -1/36 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1/36 (pow x 2)) (* 1/4 (/ x eps)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1/36 (pow x 2)) (+ (* 1/6 (/ (pow x 2) (pow eps 2))) (* 1/4 (/ x eps))))))))
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#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/36 x) (* 1/4 (/ 1 eps))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/36 x) (+ (* 1/6 (/ x (pow eps 2))) (* 1/4 (/ 1 eps)))))))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 (* -1/36 (pow eps 2))))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 (* (pow eps 2) (- (* 1/6 (/ 1 (pow eps 2))) 1/36))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* 1/6 (* eps x))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* eps (- (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* eps (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* eps (+ 1/6 (* 1/4 (/ x eps))))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (- (+ x (* 1/2 (PI))) (* -1 eps))) (cos x))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
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#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
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#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2)))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/6 (pow x 2)) 1) eps)) (* -1/4 x)) eps)) (* -1/36 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow eps 2) (+ 1/6 (+ (* -1 (/ (+ (* -1/4 x) (* -1/6 (/ (pow x 2) eps))) eps)) (* -1/36 (pow x 2)))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* -1/6 (/ x eps)) 1/4) eps)) (* -1/36 x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (- (* 1/4 (pow x 2)) 1/2) eps)) (* -1/6 x))))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* -1 (* eps (+ (* -1/4 (/ (pow x 2) eps)) (* -1/6 x))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* -1 (* eps (- (* -1/4 (/ x eps)) 1/6)))))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))))
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x))
(.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 x) eps))
(.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.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 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) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
x
eps
#s(literal -1/2 binary64)
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (sin x) x) (neg.f64 eps)))
(*.f64 #s(approx (sin x) x) (neg.f64 eps))
(*.f64 (neg.f64 eps) #s(approx (sin x) x))
(neg.f64 (*.f64 eps #s(approx (sin x) x)))
(*.f64 #s(literal -1 binary64) eps)
(*.f64 eps #s(literal -1 binary64))
(neg.f64 eps)
#s(approx (sin x) x)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (neg.f64 eps)))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) (neg.f64 eps))
(.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(neg.f64 (.f64 eps #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) x))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) x))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x)))))
(fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/120 binary64) x) x)
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
#s(literal 1/120 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
(.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
(.f64 eps #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) (.f64 #s(literal -1/2 binary64) eps)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) (*.f64 #s(literal -1/2 binary64) eps)))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))
(fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x))
(fma.f64 x (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) eps))
(fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x))
(-.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) (.f64 #s(literal 1/2 binary64) eps))
(-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (neg.f64 x) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) (.f64 #s(literal -1/2 binary64) eps))
(+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 eps (.f64 #s(literal 1/6 binary64) eps) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x) #s(literal 1 binary64)))
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#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 x eps) #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/4 binary64) eps)) (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/48 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/4 binary64) eps)) (.f64 x x) (*.f64 #s(literal -1/2 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 #s(literal 1/24 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (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 (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (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 (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 (-.f64 (.f64 (+.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) x)
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* 1/120 (* x x)) 1/6) (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (* 1/120 (* x x)) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64))) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) (-.f64 (.f64 (*.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (*.f64 #s(literal 1/4 binary64) eps))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/36 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (.f64 x eps) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 x eps) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) x (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (-.f64 (.f64 (.f64 x eps) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) (.f64 (.f64 x eps) #s(literal 1/6 binary64)))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) (*.f64 #s(literal 1/6 binary64) eps))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) eps)) (cos.f64 x)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (* (cos x) eps) -1/2) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (cos x) (cos.f64 x))
#s(approx (sin x) (sin.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
#s(approx (* (neg eps) (sin x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (-.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/120 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/120 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* 1/120 (* x x)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(approx (- (* 1/120 (* x x)) 1/6) (.f64 (-.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 x x)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (+.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) (.f64 (*.f64 eps eps) #s(literal -1/36 binary64))) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (+.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/6 binary64) (*.f64 (/.f64 eps x) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/36 binary64) eps) eps (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/6 binary64) (*.f64 (/.f64 eps x) #s(literal 1/4 binary64))))) #s(literal 1/6 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))))
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#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (.f64 (+.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/36 binary64))) #s(literal 1/6 binary64)) (.f64 x x)))
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#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (.f64 (-.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (fma.f64 (/.f64 (.f64 x x) (.f64 eps eps)) #s(literal 1/6 binary64) (.f64 (/.f64 x eps) #s(literal 1/4 binary64)))) (pow.f64 eps #s(literal -2 binary64))) (.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))) #s(literal 1/6 binary64)) (.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (fma.f64 (/.f64 (.f64 x x) (.f64 eps eps)) #s(literal 1/6 binary64) (.f64 (/.f64 x eps) #s(literal 1/4 binary64)))) (.f64 eps eps)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/36 binary64)) x))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (.f64 (fma.f64 #s(literal -1/36 binary64) x (/.f64 #s(literal 1/4 binary64) eps)) (.f64 eps eps)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (.f64 (fma.f64 #s(literal -1/36 binary64) x (fma.f64 (/.f64 x (.f64 eps eps)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/4 binary64) eps))) (*.f64 eps eps)))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) (.f64 (.f64 eps eps) #s(literal -1/36 binary64)))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)) (*.f64 eps eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (.f64 (.f64 x eps) #s(literal 1/6 binary64)))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps)) eps))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) (.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) x)) eps))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) (neg.f64 eps))) (cos.f64 x)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps))) (.f64 eps eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps))) (.f64 eps eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))) #s(literal 1/2 binary64)) eps))) (*.f64 eps eps)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (neg.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps))) eps))) #s(literal 1/6 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/4 binary64) x)) eps))) #s(literal 1/6 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) (.f64 (fma.f64 #s(literal -1/36 binary64) x (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 x eps) #s(literal -1/6 binary64)) #s(literal 1/4 binary64)) eps))) (*.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sin.f64 x)))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/6 binary64) x (neg.f64 (/.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps)))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (.f64 x x) eps) #s(literal -1/4 binary64) (*.f64 #s(literal -1/6 binary64) x))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) (.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 x eps) #s(literal -1/4 binary64)) #s(literal 1/6 binary64))))

eval106.0ms (0.6%)

Memory: 1.3MiB live, 47.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 23 445 to 2 817 computations (88% saved)

prune101.0ms (0.5%)

Memory

0.7MiB live, 47.5MiB allocated; 5ms collecting garbage

Pruning

39 alts after pruning (33 fresh and 6 done)

	Pruned	Kept	Total
New	481	15	496
Fresh	8	18	26
Picked	3	2	5
Done	0	4	4
Total	492	39	531

Accuracy

100.0%

Counts

531 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.8%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	47.8%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
✓	47.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	45.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	14.4%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	51.9%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	14.8%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x)))))
	14.7%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (.f64 (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps)))))
	97.9%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
✓	98.9%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	97.0%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	97.2%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	96.6%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
	97.5%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 #s(approx (+ ( 1/4 x) (* 1/6 eps)) (*.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	79.0%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (.f64 (.f64 x eps) #s(literal 1/6 binary64)))) eps) (sin.f64 x)) eps))
	98.1%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
	13.2%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))
	96.1%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	96.1%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
	46.9%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
	96.1%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	95.6%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	95.6%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
	95.8%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	43.1%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (pow.f64 eps #s(literal 3 binary64)))))
	95.6%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x))))
	46.7%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (cos.f64 x))))
	45.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	45.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
✓	79.1%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	77.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
	77.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))))
	77.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
	77.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)) x))))
✓	76.9%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
	47.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (* (* eps eps) 1/6) 1) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
	77.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
	77.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))

Compiler

Compiled 4 321 to 1 469 computations (66% saved)

regimes105.0ms (0.5%)

Memory

-21.8MiB live, 30.2MiB allocated; 26ms collecting garbage

Counts

73 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (* (* eps eps) 1/6) 1) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 x eps) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps) (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (cos.f64 x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))
(-.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (.f64 (.f64 x eps) #s(literal 1/6 binary64)))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 #s(approx (+ ( 1/4 x) (* 1/6 eps)) (*.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (.f64 (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (pow.f64 eps #s(literal 3 binary64)))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))

Outputs

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

Calls

3 calls:

45.0ms	x
32.0ms	eps
19.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes85.0ms (0.4%)

Memory

29.5MiB live, 29.5MiB allocated; 0ms collecting garbage

Counts

68 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (* (* eps eps) 1/6) 1) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 x eps) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps) (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (cos.f64 x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))
(-.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (.f64 (.f64 x eps) #s(literal 1/6 binary64)))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 #s(approx (+ ( 1/4 x) (* 1/6 eps)) (*.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (.f64 (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))

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

Calls

3 calls:

30.0ms	eps
28.0ms	x
20.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes79.0ms (0.4%)

Memory

-20.2MiB live, 27.5MiB allocated; 2ms collecting garbage

Counts

65 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (* (* eps eps) 1/6) 1) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 x eps) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps) (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (cos.f64 x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))
(-.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (.f64 (.f64 x eps) #s(literal 1/6 binary64)))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 #s(approx (+ ( 1/4 x) (* 1/6 eps)) (*.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (.f64 (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))

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

Calls

3 calls:

28.0ms	x
24.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
20.0ms	eps

Results

Accuracy	Segments	Branch
98.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.9%	1	`x`
98.9%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes66.0ms (0.3%)

Memory

-21.1MiB live, 25.4MiB allocated; 3ms collecting garbage

Counts

58 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (* (* eps eps) 1/6) 1) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 x eps) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps) (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (cos.f64 x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))
(-.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (.f64 (.f64 x eps) #s(literal 1/6 binary64)))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 #s(approx (+ ( 1/4 x) (* 1/6 eps)) (*.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 eps (PI.f64)) #s(literal 1/2 binary64) x)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (.f64 (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) 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)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))

Outputs

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

Calls

3 calls:

23.0ms	eps
19.0ms	x
18.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes59.0ms (0.3%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (* (* eps eps) 1/6) 1) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 x eps) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps) (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (cos.f64 x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))
(-.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (.f64 (.f64 x eps) #s(literal 1/6 binary64)))) eps) (sin.f64 x)) eps))

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

Calls

3 calls:

20.0ms	x
20.0ms	eps
15.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes42.0ms (0.2%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Counts

37 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (* (* eps eps) 1/6) 1) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 x eps) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps) (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Outputs

#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))

Calls

3 calls:

15.0ms	eps
13.0ms	x
9.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
96.6%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.6%	1	`x`
96.6%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes39.0ms (0.2%)

Memory

-32.7MiB live, 14.3MiB allocated; 2ms collecting garbage

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (* (* eps eps) 1/6) 1) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 x eps) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps) (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))

Outputs

#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) x (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))

Calls

3 calls:

14.0ms	x
12.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
10.0ms	eps

Results

Accuracy	Segments	Branch
96.3%	1	`x`
96.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.3%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes41.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (* (* eps eps) 1/6) 1) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 x eps) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps) (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))

Outputs

#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/4 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))

Calls

3 calls:

14.0ms	x
12.0ms	eps
11.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
96.1%	1	`eps`
96.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.1%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes32.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Counts

26 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (* (* eps eps) 1/6) 1) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) 1) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 x eps) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps) (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x)))

Outputs

#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (*.f64 #s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))

Calls

3 calls:

12.0ms	x
9.0ms	eps
9.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
96.1%	1	`eps`
96.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.1%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes16.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))

Outputs

#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (*.f64 #s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.1%	1	`x`
96.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes20.0ms (0.1%)

Memory

-42.3MiB live, 7.9MiB allocated; 4ms collecting garbage

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))

Outputs

#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (*.f64 #s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (*.f64 (*.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
95.6%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
95.6%	1	`x`
95.6%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes18.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

6.0ms	x
6.0ms	eps
5.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
95.6%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
95.6%	1	`x`
95.6%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes10.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
76.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
76.9%	1	`x`
76.9%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
45.1%	1	`eps`
45.1%	1	`x`
45.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify122.0ms (0.6%)

Memory

19.4MiB live, 19.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	529
1	270	529
2	509	529
3	1209	527
4	2942	527
5	6738	527

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* 1/4 eps)) x) (* (* eps eps) 1/6)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 x eps) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))

derivations857.0ms (4.5%)

Memory

1.7MiB live, 49.0MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 585 to 166 computations (71.6% saved)

preprocess117.0ms (0.6%)

Memory: 3.1MiB live, 49.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 218 to 374 computations (69.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze66.0ms (0.3%)

sample14.0s (73.1%)

explain353.0ms (1.8%)

preprocess490.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

series9.0ms (0%)

rewrite283.0ms (1.5%)

eval21.0ms (0.1%)

prune23.0ms (0.1%)

series78.0ms (0.4%)

rewrite464.0ms (2.4%)

eval135.0ms (0.7%)

prune67.0ms (0.3%)

series74.0ms (0.4%)

rewrite471.0ms (2.5%)

eval138.0ms (0.7%)

prune82.0ms (0.4%)

series85.0ms (0.4%)

rewrite393.0ms (2%)

eval106.0ms (0.6%)

prune101.0ms (0.5%)

regimes105.0ms (0.5%)

regimes85.0ms (0.4%)

regimes79.0ms (0.4%)

regimes66.0ms (0.3%)

regimes59.0ms (0.3%)

regimes42.0ms (0.2%)

regimes39.0ms (0.2%)

regimes41.0ms (0.2%)

regimes32.0ms (0.2%)

regimes16.0ms (0.1%)

regimes20.0ms (0.1%)

regimes18.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0%)

simplify122.0ms (0.6%)

derivations857.0ms (4.5%)

preprocess117.0ms (0.6%)

end0.0ms (0%)

Profiling