Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

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

analyze115.0ms (1.1%)

Memory

-19.1MiB live, 58.8MiB allocated; 91ms 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)

sample7.7s (75.7%)

Memory

-11.3MiB live, 6 387.1MiB allocated; 2.3s collecting garbage

Samples

2.8s	5 767×	2	valid
2.7s	26 864×	0	invalid
493.0ms	2 426×	1	valid
8.0ms	63×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.6s

ival-cos: 2.2s (48.9% of total)

const: 571.0ms (12.4% of total)

adjust: 485.0ms (10.5% of total)

ival-sub: 326.0ms (7.1% of total)

ival-add: 271.0ms (5.9% of total)

ival-fabs: 249.0ms (5.4% of total)

ival-mult: 215.0ms (4.7% of total)

ival-<: 142.0ms (3.1% of total)

ival-and: 78.0ms (1.7% of total)

ival-assert: 14.0ms (0.3% of total)

Bogosity

explain200.0ms (2%)

Memory

17.7MiB live, 65.6MiB allocated; 2ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
122	-	-	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
3	-	-	`(cos.f64 (+.f64 x eps))`
0	-	-	`eps`
0	-	-	`(+.f64 x eps)`
0	-	-	`(cos.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`	cancellation	122	0
`cos.f64`	`(cos.f64 (+.f64 x eps))`	sensitivity	3	0

Confusion

	Predicted +	Predicted -
+	122	1
-	0	133

Precision

1.0

Recall

0.991869918699187

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	122	0	1
-	0	0	133

Precision?

1.0

Recall?

0.991869918699187

Freqs

test

number	freq
0	134
1	119
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

139.0ms	366×	2	valid
19.0ms	140×	1	valid
1.0ms	6×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-cos: 98.0ms (73.1% of total)

adjust: 25.0ms (18.7% of total)

ival-sub: 6.0ms (4.5% of total)

ival-add: 4.0ms (3% of total)

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

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

preprocess229.0ms (2.2%)

Memory

-8.2MiB live, 49.3MiB allocated; 4ms 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)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.8%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series5.0ms (0%)

Memory

2.7MiB live, 2.7MiB 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
1.0ms	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))

rewrite119.0ms (1.2%)

Memory

9.2MiB live, 53.4MiB allocated; 5ms 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)))

eval12.0ms (0.1%)

Memory: 9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 017 to 430 computations (78.7% saved)

prune9.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	100	11	111
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	12	112

Accuracy

99.8%

Counts

112 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.1%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	57.1%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
▶	56.9%	(-.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))) (cos.f64 x))
	56.8%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
✓	56.8%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
▶	56.8%	(-.f64 (cos.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (cos.f64 x))
▶	55.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
▶	99.1%	#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))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
▶	81.1%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Compiler

Compiled 351 to 260 computations (25.9% saved)

series31.0ms (0.3%)

Memory

-30.3MiB live, 16.3MiB allocated; 2ms collecting garbage

Counts

35 → 180

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 (cos.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (cos.f64 x))
(cos.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps)))
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))
(fma.f64 (/.f64 x eps) eps eps)
(/.f64 x 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)

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 (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 eps) eps) eps) #s(hole binary64 eps))
#s(approx (+ (* (/ x eps) eps) eps) #s(hole binary64 (+ eps x)))
#s(approx (/ x eps) #s(hole binary64 (/ x eps)))
#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 (- (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 (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 (+ (* (/ x eps) eps) eps) #s(hole binary64 x))
#s(approx (+ (* (/ x eps) eps) eps) #s(hole binary64 (* x (+ 1 (/ eps 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 (- (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 (+ (* (/ x eps) eps) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#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 (- (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 (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 (- (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 (* (- (* (+ (* (+ (* (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 (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (* (/ x eps) eps) eps) #s(hole binary64 (* eps (+ 1 (/ x 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 (- (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 (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 (+ (* (/ x eps) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#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)))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	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) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (+ (* (/ x eps) eps) eps) (/ x eps) (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (sin (+ (/ (PI) 2) (+ eps x))) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (PI) 2 (+ eps x))
6.0ms	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) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (+ (* (/ x eps) eps) eps) (/ x eps) (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (sin (+ (/ (PI) 2) (+ eps x))) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (PI) 2 (+ eps x))
4.0ms	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) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (+ (* (/ x eps) eps) eps) (/ x eps) (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (sin (+ (/ (PI) 2) (+ eps x))) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (PI) 2 (+ eps x))
4.0ms	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) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (+ (* (/ x eps) eps) eps) (/ x eps) (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (sin (+ (/ (PI) 2) (+ eps x))) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (PI) 2 (+ eps x))
4.0ms	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) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (+ (* (/ x eps) eps) eps) (/ x eps) (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (sin (+ (/ (PI) 2) (+ eps x))) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (PI) 2 (+ eps x))

rewrite160.0ms (1.6%)

Memory

24.1MiB live, 67.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	684	4666
0	728	4494
1	4122	4494
0	8393	4288

Stop Event

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

Counts

215 → 328

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

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

eval58.0ms (0.6%)

Memory: -20.5MiB live, 34.5MiB allocated; 7ms collecting garbage
Compiler: Compiled 11 892 to 1 843 computations (84.5% saved)

prune34.0ms (0.3%)

Memory

-15.1MiB live, 32.6MiB allocated; 1ms collecting garbage

Pruning

33 alts after pruning (29 fresh and 4 done)

	Pruned	Kept	Total
New	374	25	399
Fresh	2	4	6
Picked	2	3	5
Done	0	1	1
Total	378	33	411

Accuracy

100.0%

Counts

411 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.1%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	57.1%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	56.9%	(-.f64 (sin.f64 #s(approx (+ (/ (PI) 2) (+ eps x)) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps))) (cos.f64 x))
	3.6%	(-.f64 (sin.f64 #s(approx (+ (/ (PI) 2) (+ eps x)) eps)) (cos.f64 x))
	56.8%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
✓	56.8%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	56.8%	(-.f64 (cos.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓	56.8%	(-.f64 (cos.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (cos.f64 x))
	56.9%	(-.f64 #s(approx (sin (+ (/ (PI) 2) (+ eps x))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (neg.f64 x)))) (cos.f64 x))
	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))
▶	98.7%	#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))
	55.3%	#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)))
▶	55.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
▶	99.1%	#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) (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) eps) (sin.f64 x)) eps))
✓	99.1%	#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))
	98.5%	#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 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
✓	81.1%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	80.7%	#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))))
	80.5%	#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))))
	80.5%	#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))))
	80.2%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
▶	97.8%	#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))
	97.4%	#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))
	97.4%	#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))
	56.6%	#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)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
	56.6%	#s(approx (- (cos (+ x eps)) (cos x)) #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))))
	56.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
	98.0%	#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)))))
	97.6%	#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 (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)))))
	97.4%	#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)))))
	22.9%	#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) (*.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)))))
▶	80.5%	#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)))

Compiler

Compiled 1 967 to 1 303 computations (33.8% saved)

series55.0ms (0.5%)

Memory

33.0MiB live, 33.0MiB allocated; 0ms collecting garbage

Counts

59 → 323

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

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 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) 1))) (* (pow eps 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) 1)) (* (pow eps 2) (* x (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI))))))))) (* (pow eps 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) 1)) (* x (+ (* eps (* x (+ 1/6 (* eps (+ (* -1/12 (cos (* 1/2 (PI)))) (* -1/36 eps)))))) (* (pow eps 2) (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI)))))))))) (* (pow eps 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) #s(hole binary64 (+ (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))) (* x (- (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) 1)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) #s(hole binary64 (+ (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))) (* x (- (+ (* eps (* x (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI))))))) (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI))))))) 1)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) #s(hole binary64 (+ (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))) (* x (- (+ (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) (* x (+ (* eps (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI)))))) (* x (+ 1/6 (* eps (+ (* -1/12 (cos (* 1/2 (PI)))) (* -1/36 eps)))))))) 1)))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) #s(hole binary64 (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) #s(hole binary64 (+ (* eps (* x (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI))))))) (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) #s(hole binary64 (+ (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))) (* x (+ (* eps (* x (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI))))))) (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) #s(hole binary64 (+ (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))) (* x (+ (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) (* x (+ (* eps (* x (+ (* -1/12 (cos (* 1/2 (PI)))) (* -1/36 eps)))) (* eps (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI)))))))))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI))))))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (+ (* 1/2 (cos (* 1/2 (PI)))) (* x (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI)))))))))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (+ (* 1/2 (cos (* 1/2 (PI)))) (* x (+ (* -1/48 (pow eps 2)) (+ (* 1/4 (sin (* 1/2 (PI)))) (* x (+ (* -1/12 (cos (* 1/2 (PI)))) (* -1/36 eps)))))))))))))
#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 (sin (+ (* -1 x) (/ (PI) 2)))) #s(hole binary64 (* -1/2 (sin (* 1/2 (PI))))))
#s(approx (* -1/2 (sin (+ (* -1 x) (/ (PI) 2)))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/2 (* x (cos (* 1/2 (PI))))))))
#s(approx (* -1/2 (sin (+ (* -1 x) (/ (PI) 2)))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (* x (+ (* 1/4 (* x (sin (* 1/2 (PI))))) (* 1/2 (cos (* 1/2 (PI)))))))))
#s(approx (* -1/2 (sin (+ (* -1 x) (/ (PI) 2)))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (* x (+ (* 1/2 (cos (* 1/2 (PI)))) (* x (+ (* -1/12 (* x (cos (* 1/2 (PI))))) (* 1/4 (sin (* 1/2 (PI)))))))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (* x (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (+ (* -1 x) (* 1/2 (PI)))))
#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) eps)) (* 1/6 eps)) (* x x)) (neg eps)) x) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) x) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) x) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) #s(hole binary64 (- (* 1/6 (* eps (pow x 2))) eps)))
#s(approx (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) #s(hole binary64 (- (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) eps)))
#s(approx (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) #s(hole binary64 (* 1/6 eps)))
#s(approx (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) #s(hole binary64 (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* 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 (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* 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 (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* 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)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* 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)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 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) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 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 (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 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) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2)))))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) #s(hole binary64 (* eps (+ 1/4 (* -1/48 (pow eps 2))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) #s(hole binary64 (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 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 (* (- (* (* (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)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (sin (- (* 1/2 (PI)) 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 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (sin (- (* 1/2 (PI)) 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 (sin (+ (* -1 x) (/ (PI) 2))))) eps) #s(hole binary64 (* eps (+ (* -1/2 (sin (- (* 1/2 (PI)) 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 (sin (+ (* -1 x) (/ (PI) 2))))) #s(hole binary64 (+ (* -1/2 (sin (- (* 1/2 (PI)) 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 (sin (+ (* -1 x) (/ (PI) 2)))) #s(hole binary64 (* -1/2 (sin (- (* 1/2 (PI)) x)))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) x))))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) 1))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) x) #s(hole binary64 (* -1/120 (* eps (pow x 5)))))
#s(approx (* (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) x) #s(hole binary64 (* (pow x 5) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))))
#s(approx (* (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) x) #s(hole binary64 (* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))))
#s(approx (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) #s(hole binary64 (* -1/120 (* eps (pow x 4)))))
#s(approx (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) #s(hole binary64 (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))))
#s(approx (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))))
#s(approx (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) #s(hole binary64 (* -1/120 (* eps (pow x 2)))))
#s(approx (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))))
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#s(approx (* -1/2 (sin (+ (* -1 x) (/ (PI) 2)))) #s(hole binary64 (* -1/2 (sin (+ (* -1 x) (* 1/2 (PI)))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (sin (+ (* -1 x) (* 1/2 (PI))))))
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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 (* -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)))))
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#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (sin (+ (* -1 x) (* 1/2 (PI))))))))))
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#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) #s(hole binary64 (* -1/2 (sin (+ (* -1 x) (* 1/2 (PI)))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) #s(hole binary64 (+ (* -1/2 (sin (+ (* -1 x) (* 1/2 (PI))))) (* 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))
#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)))))
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#s(approx (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) #s(hole binary64 (* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))))
#s(approx (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) #s(hole binary64 (* eps (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (* 1/6 eps) #s(hole binary64 (* 1/6 eps)))
#s(approx (neg eps) #s(hole binary64 (* -1 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 (* eps (sin x)))))
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#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 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)))
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#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) #s(hole binary64 (+ (* 1/6 x) (* 1/4 eps))))
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#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) #s(hole binary64 (+ (* 1/6 x) (* eps (+ 1/4 (* eps (+ (* -1/36 x) (* -1/48 eps))))))))
#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 (* (+ (* -1/48 (* eps eps)) 1/4) eps) #s(hole binary64 (* 1/4 eps)))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/4) eps) #s(hole binary64 (* eps (+ 1/4 (* -1/48 (pow eps 2))))))
#s(approx (+ (* -1/48 (* eps eps)) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* -1/48 (* eps eps)) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow eps 2)))))
#s(approx (* (* eps eps) 1/6) #s(hole binary64 (* 1/6 (pow eps 2))))
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#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -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))))) eps)) (* 1/48 (pow x 2))) 1/24)))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/6 (* -1/36 (pow x 2))) eps)) (* 1/48 x))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/6 (+ (* -1/36 (pow x 2)) (* 1/4 (/ x eps)))) eps)) (* 1/48 x))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/6 (pow x 2)) 1) eps)) (* -1/4 x)) eps)) (* -1/36 (pow x 2)))) eps)) (* 1/48 x))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/6 (* -1/36 (pow x 2))) eps)) (* 1/48 x))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/6 (+ (* -1/36 (pow x 2)) (* 1/4 (/ x eps)))) eps)) (* 1/48 x))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (+ (* -1/4 x) (* -1/6 (/ (pow x 2) eps))) eps)) (* -1/36 (pow x 2)))) eps)) (* 1/48 x))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/48 (* 1/36 (/ x eps)))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/48 (* -1 (/ (+ (* -1/36 x) (* 1/4 (/ 1 eps))) eps)))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* -1/6 (/ x eps)) 1/4) eps)) (* -1/36 x)) eps)))))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/4) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/48 (* 1/4 (/ 1 (pow eps 2))))))))
#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 (- (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))))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) (+ (* (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 (sin (+ (* -1 x) (/ (PI) 2)))) -1/2 (sin (+ (* -1 x) (/ (PI) 2))) (+ (* -1 x) (/ (PI) 2)) -1 (/ (PI) 2) (PI) 2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) x) (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) -1/120 (* (* x x) eps) (* x x) (* 1/6 eps) (neg eps) (- (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)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* eps eps) (* (+ (* -1/48 (* eps eps)) 1/4) eps) (+ (* -1/48 (* eps eps)) 1/4) -1/48 1/4 (* (* eps eps) 1/6) (* (- (* (* eps eps) 1/24) 1/2) eps) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/2 (- (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))
8.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) (+ (* (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 (sin (+ (* -1 x) (/ (PI) 2)))) -1/2 (sin (+ (* -1 x) (/ (PI) 2))) (+ (* -1 x) (/ (PI) 2)) -1 (/ (PI) 2) (PI) 2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) x) (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) -1/120 (* (* x x) eps) (* x x) (* 1/6 eps) (neg eps) (- (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)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* eps eps) (* (+ (* -1/48 (* eps eps)) 1/4) eps) (+ (* -1/48 (* eps eps)) 1/4) -1/48 1/4 (* (* eps eps) 1/6) (* (- (* (* eps eps) 1/24) 1/2) eps) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/2 (- (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))
8.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) (+ (* (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 (sin (+ (* -1 x) (/ (PI) 2)))) -1/2 (sin (+ (* -1 x) (/ (PI) 2))) (+ (* -1 x) (/ (PI) 2)) -1 (/ (PI) 2) (PI) 2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) x) (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) -1/120 (* (* x x) eps) (* x x) (* 1/6 eps) (neg eps) (- (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)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* eps eps) (* (+ (* -1/48 (* eps eps)) 1/4) eps) (+ (* -1/48 (* eps eps)) 1/4) -1/48 1/4 (* (* eps eps) 1/6) (* (- (* (* eps eps) 1/24) 1/2) eps) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/2 (- (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))
7.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) (+ (* (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 (sin (+ (* -1 x) (/ (PI) 2)))) -1/2 (sin (+ (* -1 x) (/ (PI) 2))) (+ (* -1 x) (/ (PI) 2)) -1 (/ (PI) 2) (PI) 2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) x) (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) -1/120 (* (* x x) eps) (* x x) (* 1/6 eps) (neg eps) (- (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)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* eps eps) (* (+ (* -1/48 (* eps eps)) 1/4) eps) (+ (* -1/48 (* eps eps)) 1/4) -1/48 1/4 (* (* eps eps) 1/6) (* (- (* (* eps eps) 1/24) 1/2) eps) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/2 (- (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))
7.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) (+ (* (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 (sin (+ (* -1 x) (/ (PI) 2)))) -1/2 (sin (+ (* -1 x) (/ (PI) 2))) (+ (* -1 x) (/ (PI) 2)) -1 (/ (PI) 2) (PI) 2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) x) (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) -1/120 (* (* x x) eps) (* x x) (* 1/6 eps) (neg eps) (- (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)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* eps eps) (* (+ (* -1/48 (* eps eps)) 1/4) eps) (+ (* -1/48 (* eps eps)) 1/4) -1/48 1/4 (* (* eps eps) 1/6) (* (- (* (* eps eps) 1/24) 1/2) eps) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/2 (- (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))

rewrite164.0ms (1.6%)

Memory

-8.6MiB live, 81.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1333	12222
0	1415	11440
0	8350	11000

Stop Event

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

Counts

382 → 569

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) (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) 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) (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) 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) (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) 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) (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) 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) (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))
(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) (sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal -1/2 binary64)
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal -1 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#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)) #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)))
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#s(literal -1/120 binary64)
(.f64 (.f64 x x) eps)
(*.f64 x x)
(*.f64 #s(literal 1/6 binary64) eps)
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(fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64))
#s(literal -1/36 binary64)
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#s(literal -1/48 binary64)
#s(literal 1/4 binary64)
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(-.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 1/2 binary64)
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(.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))
#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 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) 1))) (* (pow eps 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))))))
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#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) #s(hole binary64 (+ (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))) (* x (- (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) 1)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) #s(hole binary64 (+ (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))) (* x (- (+ (* eps (* x (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI))))))) (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI))))))) 1)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) #s(hole binary64 (+ (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))) (* x (- (+ (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) (* x (+ (* eps (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI)))))) (* x (+ 1/6 (* eps (+ (* -1/12 (cos (* 1/2 (PI)))) (* -1/36 eps)))))))) 1)))))
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#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI))))))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (+ (* 1/2 (cos (* 1/2 (PI)))) (* x (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI)))))))))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (+ (* 1/2 (cos (* 1/2 (PI)))) (* x (+ (* -1/48 (pow eps 2)) (+ (* 1/4 (sin (* 1/2 (PI)))) (* x (+ (* -1/12 (cos (* 1/2 (PI)))) (* -1/36 eps)))))))))))))
#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 (sin (+ (* -1 x) (/ (PI) 2)))) #s(hole binary64 (* -1/2 (sin (* 1/2 (PI))))))
#s(approx (* -1/2 (sin (+ (* -1 x) (/ (PI) 2)))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/2 (* x (cos (* 1/2 (PI))))))))
#s(approx (* -1/2 (sin (+ (* -1 x) (/ (PI) 2)))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (* x (+ (* 1/4 (* x (sin (* 1/2 (PI))))) (* 1/2 (cos (* 1/2 (PI)))))))))
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#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (* x (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* x (cos (* 1/2 (PI))))))))))))
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#s(approx (+ (* -1 x) (/ (PI) 2)) #s(hole binary64 (+ (* -1 x) (* 1/2 (PI)))))
#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)))))))))))
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#s(approx (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) #s(hole binary64 (- (* 1/6 (* eps (pow x 2))) eps)))
#s(approx (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) #s(hole binary64 (- (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) eps)))
#s(approx (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) #s(hole binary64 (* 1/6 eps)))
#s(approx (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) #s(hole binary64 (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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))))
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#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* eps (- (* 1/24 (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)))))
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#s(approx (* 1/6 eps) #s(hole binary64 (* 1/6 eps)))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
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#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 (* (+ (* -1/48 (* eps eps)) 1/4) eps) #s(hole binary64 (* 1/4 eps)))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/4) eps) #s(hole binary64 (* eps (+ 1/4 (* -1/48 (pow eps 2))))))
#s(approx (+ (* -1/48 (* eps eps)) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* -1/48 (* eps eps)) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow eps 2)))))
#s(approx (* (* eps eps) 1/6) #s(hole binary64 (* 1/6 (pow eps 2))))
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#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 (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(hole binary64 (- (sin (+ x (* 1/2 (PI)))) (cos x))))
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#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)))
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#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* -1/48 (* (pow eps 3) x))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow eps 3) (+ (* -1/36 (/ (pow x 2) eps)) (+ (* -1/48 x) (* 1/6 (/ 1 eps)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow eps 3) (+ (* -1/36 (/ (pow x 2) eps)) (+ (* -1/48 x) (+ (* 1/4 (/ x (pow eps 2))) (* 1/6 (/ 1 eps))))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow eps 3) (+ (* -1/36 (/ (pow x 2) eps)) (+ (* -1/48 x) (+ (* 1/6 (/ (pow x 2) (pow eps 3))) (+ (* 1/4 (/ x (pow eps 2))) (* 1/6 (/ 1 eps)))))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) #s(hole binary64 (* -1/48 (pow eps 3))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) #s(hole binary64 (* (pow eps 3) (- (* -1/36 (/ x eps)) 1/48))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) #s(hole binary64 (* (pow eps 3) (- (+ (* -1/36 (/ x eps)) (/ 1/4 (pow eps 2))) 1/48))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) #s(hole binary64 (* (pow eps 3) (- (+ (* -1/36 (/ x eps)) (+ (* 1/6 (/ x (pow eps 3))) (/ 1/4 (pow eps 2)))) 1/48))))
#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 (* (+ (* -1/48 (* eps eps)) 1/4) eps) #s(hole binary64 (* -1/48 (pow eps 3))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/4) eps) #s(hole binary64 (* (pow eps 3) (- (* 1/4 (/ 1 (pow eps 2))) 1/48))))
#s(approx (+ (* -1/48 (* eps eps)) 1/4) #s(hole binary64 (* -1/48 (pow eps 2))))
#s(approx (+ (* -1/48 (* eps eps)) 1/4) #s(hole binary64 (* (pow eps 2) (- (* 1/4 (/ 1 (pow eps 2))) 1/48))))
#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 (* (- (* (* (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 (- (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 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (sin (+ (* -1 x) (* 1/2 (PI)))) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (sin (+ (* -1 x) (* 1/2 (PI)))))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) 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 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin (+ (* -1 x) (* 1/2 (PI)))) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (sin (+ (* -1 x) (* 1/2 (PI))))) (/ (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 (sin (+ (* -1 x) (/ (PI) 2))))) 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 (sin (+ (* -1 x) (/ (PI) 2))))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin (+ (* -1 x) (* 1/2 (PI)))) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (sin (+ (* -1 x) (* 1/2 (PI)))) 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 (* (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) x) #s(hole binary64 (* -1 (* eps (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))))
#s(approx (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) #s(hole binary64 (* -1 (* eps (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))))
#s(approx (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) #s(hole binary64 (* -1 (* eps (- (* 1/120 (pow x 2)) 1/6)))))
#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 (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* 1/48 (pow x 2)) 1/24)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (+ (* -1 (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/48 (pow x 2))) 1/24)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))) eps)) (* 1/48 (pow x 2))) 1/24)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -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))))) eps)) (* 1/48 (pow x 2))) 1/24)))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/6 (* -1/36 (pow x 2))) eps)) (* 1/48 x))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/6 (+ (* -1/36 (pow x 2)) (* 1/4 (/ x eps)))) eps)) (* 1/48 x))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/6 (pow x 2)) 1) eps)) (* -1/4 x)) eps)) (* -1/36 (pow x 2)))) eps)) (* 1/48 x))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/6 (* -1/36 (pow x 2))) eps)) (* 1/48 x))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/6 (+ (* -1/36 (pow x 2)) (* 1/4 (/ x eps)))) eps)) (* 1/48 x))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (+ (* -1/4 x) (* -1/6 (/ (pow x 2) eps))) eps)) (* -1/36 (pow x 2)))) eps)) (* 1/48 x))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/48 (* 1/36 (/ x eps)))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/48 (* -1 (/ (+ (* -1/36 x) (* 1/4 (/ 1 eps))) eps)))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* -1/6 (/ x eps)) 1/4) eps)) (* -1/36 x)) eps)))))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/4) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/48 (* 1/4 (/ 1 (pow eps 2))))))))
#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 (- (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))))))

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 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 3 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)))))
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#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (-.f64 (.f64 (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64)) (.f64 (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64))))) x (.f64 (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) (.f64 eps eps))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64)) eps (.f64 (fma.f64 (.f64 eps x) (fma.f64 (fma.f64 #s(literal -1/12 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 #s(literal -1/36 binary64) eps)) eps #s(literal 1/6 binary64)) (.f64 (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64))) (.f64 eps eps))) x)) x (.f64 (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) (*.f64 eps eps))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 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 (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64)) x (.f64 (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 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 eps (fma.f64 (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64))) x (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) eps)))) #s(literal 1 binary64)) x (.f64 (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 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 (fma.f64 #s(literal -1/12 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 #s(literal -1/36 binary64) eps)) eps #s(literal 1/6 binary64)) x (.f64 (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64))) eps)) x (.f64 (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) eps)) eps)) #s(literal 1 binary64)) x (.f64 (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) eps)))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (.f64 (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) eps))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (.f64 eps (fma.f64 (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) eps)) x (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (fma.f64 (.f64 eps (fma.f64 (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64))) x (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) eps)))) x (.f64 (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) eps)))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (fma.f64 (fma.f64 (.f64 eps (fma.f64 (fma.f64 #s(literal -1/12 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 #s(literal -1/36 binary64) eps)) x (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64))))) x (.f64 (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) eps)) eps)) x (.f64 (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) eps)))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) eps (fma.f64 (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -1/48 binary64))) x (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) eps (fma.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) eps) eps (fma.f64 (fma.f64 #s(literal -1/12 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 #s(literal -1/36 binary64) eps)) x (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))) x (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))) x (.f64 (.f64 eps eps) #s(literal 1/24 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 -1/48 binary64) eps (.f64 #s(literal -1/36 binary64) x)) 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 (sin (+ (* -1 x) (/ (PI) 2))) #s(literal 1 binary64))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* -1/2 (sin (+ (* -1 x) (/ (PI) 2)))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
#s(approx (* -1/2 (sin (+ (* -1 x) (/ (PI) 2)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))))
#s(approx (* -1/2 (sin (+ (* -1 x) (/ (PI) 2)))) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) x (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))))
#s(approx (* -1/2 (sin (+ (* -1 x) (/ (PI) 2)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) x (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) x (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) (fma.f64 (neg.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) x (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) x (neg.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) x (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ (* -1 x) (/ (PI) 2)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (+ (* -1 x) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)))
#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 (.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #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) eps)) (* 1/6 eps)) (* x x)) (neg eps)) x) (*.f64 (neg.f64 eps) x))
#s(approx (* (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) x) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
#s(approx (* (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps) (.f64 x x) (neg.f64 eps)) x))
#s(approx (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) (neg.f64 eps))
#s(approx (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) (-.f64 (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64)) eps))
#s(approx (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps) x) x) eps))
#s(approx (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (*.f64 #s(literal 1/6 binary64) eps))
#s(approx (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps))
#s(approx (* (* x x) eps) (.f64 (.f64 x x) eps))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) 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 (sin (+ (* -1 x) (/ (PI) 2))))) 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 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 (.f64 #s(literal -1/48 binary64) 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 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) eps) eps #s(literal 1/6 binary64)) x) eps (.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) 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 1/24 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))
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#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) (.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) eps) eps #s(literal 1/6 binary64)) x))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) (.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) eps) eps (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/4 binary64)) eps) x)) #s(literal 1/6 binary64)) 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 (* (- (* (* (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 (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.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)) 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 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.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)) eps) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (.f64 (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.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)) eps))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.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)))
#s(approx (* -1/2 (sin (+ (* -1 x) (/ (PI) 2)))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -1/2 binary64)))
#s(approx (sin (+ (* -1 x) (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x))))
#s(approx (+ (* -1 x) (/ (PI) 2)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) x) (neg.f64 (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) eps)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) x) (neg.f64 (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) eps (/.f64 eps (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (neg.f64 (.f64 (.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) eps) eps (/.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/4 binary64)) eps) x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (neg.f64 (.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/4 binary64)) eps)) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -1/36 binary64) eps) eps #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/4 binary64)) eps (neg.f64 (/.f64 (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)))) x))) x) #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) eps) eps #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) eps) eps (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/4 binary64)) eps (/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))) x))) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) (.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) eps) eps (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal -1/6 binary64) (.f64 (neg.f64 eps) (fma.f64 (.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/4 binary64)))) x))) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) (.f64 (neg.f64 x) (.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) eps) eps (/.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/4 binary64)) eps) x)) #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) eps) (neg.f64 x))) (cos.f64 x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (*.f64 (sin.f64 x) (neg.f64 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))
#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 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) (*.f64 (sin.f64 x) (neg.f64 eps)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x))) (neg.f64 (sin.f64 x))) eps))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) (.f64 (fma.f64 (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -1/2 binary64) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) (.f64 (fma.f64 (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.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)) 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 #s(literal -1/2 binary64) eps) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)))) (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 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -1/2 binary64) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (.f64 (.f64 #s(literal -1/2 binary64) eps) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (.f64 (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -1/2 binary64) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))))
#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)))
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#s(approx (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 1 binary64)) eps))
#s(approx (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps))
#s(approx (* 1/6 eps) (*.f64 #s(literal 1/6 binary64) eps))
#s(approx (neg eps) (neg.f64 eps))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) (*.f64 (sin.f64 x) (neg.f64 eps)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) 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 (sin (+ (* -1 x) (/ (PI) 2))))) 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 (sin (+ (* -1 x) (/ (PI) 2))))) 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 (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 (-.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x) eps (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/24 binary64)) eps (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x)) eps (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (-.f64 (.f64 (*.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (-.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) eps (.f64 #s(literal 1/4 binary64) x)) eps (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
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#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/48 binary64)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) (.f64 (-.f64 (.f64 (/.f64 x eps) #s(literal -1/36 binary64)) #s(literal 1/48 binary64)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) (.f64 (-.f64 (fma.f64 (/.f64 x eps) #s(literal -1/36 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 eps eps))) #s(literal 1/48 binary64)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) (.f64 (-.f64 (fma.f64 (/.f64 x eps) #s(literal -1/36 binary64) (fma.f64 (/.f64 x (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/6 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 eps eps)))) #s(literal 1/48 binary64)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) (.f64 (.f64 #s(literal -1/36 binary64) eps) eps))
#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 (* (+ (* -1/48 (* eps eps)) 1/4) eps) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/48 binary64)))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/4) eps) (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (+ (* -1/48 (* eps eps)) 1/4) (.f64 (.f64 eps eps) #s(literal -1/48 binary64)))
#s(approx (+ (* -1/48 (* eps eps)) 1/4) (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 eps eps)) #s(literal 1/48 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 (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (cos.f64 x)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (.f64 eps eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) 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 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.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 (sin (+ (* -1 x) (/ (PI) 2))))) 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 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -1/2 binary64) (/.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 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.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 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) eps))) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (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 (sin (+ (* -1 x) (/ (PI) 2))))) eps) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.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 (sin (+ (* -1 x) (/ (PI) 2))))) (.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.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 (* (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) x) (.f64 (neg.f64 eps) (.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 (+ (* (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (* x x)) (neg eps)) (.f64 (neg.f64 eps) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (+ (* -1/120 (* (* x x) eps)) (* 1/6 eps)) (.f64 (neg.f64 eps) (-.f64 (.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) 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 (sin (+ (* -1 x) (/ (PI) 2))))) 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 (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (neg.f64 (.f64 (-.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) (neg.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x) eps))) #s(literal 1/24 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (neg.f64 (.f64 (-.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) (neg.f64 (/.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))) eps))) #s(literal 1/24 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (neg.f64 (.f64 (-.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) (neg.f64 (/.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))) eps))) #s(literal 1/24 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (neg.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) x (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) eps))) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (neg.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) x (neg.f64 (/.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)) eps))) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (neg.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) x (neg.f64 (/.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)) eps))) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) (neg.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) x (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) eps))) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) (neg.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) x (neg.f64 (/.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)) eps))) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) (neg.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) x (neg.f64 (/.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (.f64 (/.f64 (.f64 x x) eps) #s(literal -1/6 binary64))) eps))) #s(literal 1/6 binary64)) eps))) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (/.f64 x eps) #s(literal 1/48 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/36 binary64) x (/.f64 #s(literal 1/4 binary64) eps)) eps) #s(literal -1 binary64) #s(literal 1/48 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) (neg.f64 (.f64 (fma.f64 (/.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))) eps) #s(literal -1 binary64) #s(literal 1/48 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/4) eps) (neg.f64 (.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 eps eps))) (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 (- (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 (- (* (* (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))))

eval100.0ms (1%)

Memory: 10.5MiB live, 68.1MiB allocated; 13ms collecting garbage
Compiler: Compiled 38 938 to 3 994 computations (89.7% saved)

prune43.0ms (0.4%)

Memory

1.2MiB live, 47.2MiB allocated; 4ms collecting garbage

Pruning

38 alts after pruning (32 fresh and 6 done)

	Pruned	Kept	Total
New	665	14	679
Fresh	6	18	24
Picked	3	2	5
Done	0	4	4
Total	674	38	712

Accuracy

100.0%

Counts

712 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.1%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	57.1%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	56.9%	(-.f64 (sin.f64 #s(approx (+ (/ (PI) 2) (+ eps x)) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps))) (cos.f64 x))
	3.6%	(-.f64 (sin.f64 #s(approx (+ (/ (PI) 2) (+ eps x)) eps)) (cos.f64 x))
▶	56.8%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
✓	56.8%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	56.8%	(-.f64 (cos.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓	56.8%	(-.f64 (cos.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (cos.f64 x))
	56.9%	(-.f64 #s(approx (sin (+ (/ (PI) 2) (+ eps x))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (neg.f64 x)))) (cos.f64 x))
	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))
✓	98.7%	#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))
	98.4%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	97.9%	#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))
	97.4%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	97.4%	#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))
	56.6%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
	98.0%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) #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)))))
	97.6%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #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)))))
	97.3%	#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))))
▶	80.5%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps) (.f64 x x) (neg.f64 eps)) x)))
	55.3%	#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)))
✓	55.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
▶	99.1%	#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) (sin.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))))) eps) (sin.f64 x)) eps))
	99.1%	#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) (sin.f64 #s(approx (+ ( -1 x) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)))))) eps) (sin.f64 x)) eps))
✓	99.1%	#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))
	98.5%	#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 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
✓	81.1%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
▶	80.7%	#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))))
	80.5%	#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))))
▶	80.2%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
	97.4%	#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))
	97.4%	#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))
	97.9%	#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 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) (.f64 (.f64 x x) #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))
	56.6%	#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)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
	97.9%	#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 (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) eps))
	56.6%	#s(approx (- (cos (+ x eps)) (cos x)) #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))))
	22.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) 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)))))

Compiler

Compiled 2 316 to 1 578 computations (31.9% saved)

series40.0ms (0.4%)

Memory

-22.9MiB live, 24.4MiB allocated; 1ms collecting garbage

Counts

53 → 244

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) (sin.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))))) 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) (sin.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))))) 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) (sin.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))))) 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) (sin.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))))) 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) (sin.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(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) (sin.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(literal -1/2 binary64)
(sin.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (.f64 x x) (.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)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.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 (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps) (.f64 x x) (neg.f64 eps)) x)))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps) (.f64 x x) (neg.f64 eps)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps) (.f64 x x) (neg.f64 eps)) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps) (*.f64 x x) (neg.f64 eps))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps)
(fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64))
#s(literal -1/120 binary64)
#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))))
(.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 (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))
(.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) 1))) (* (pow eps 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) 1)) (* (pow eps 2) (* x (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI))))))))) (* (pow eps 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) 1)) (* x (+ (* eps (* x (+ 1/6 (* eps (+ (* -1/12 (cos (* 1/2 (PI)))) (* -1/36 eps)))))) (* (pow eps 2) (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI)))))))))) (* (pow eps 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (+ (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))) (* x (- (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) 1)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (+ (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))) (* x (- (+ (* eps (* x (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI))))))) (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI))))))) 1)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (+ (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))) (* x (- (+ (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) (* x (+ (* eps (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI)))))) (* x (+ 1/6 (* eps (+ (* -1/12 (cos (* 1/2 (PI)))) (* -1/36 eps)))))))) 1)))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) #s(hole binary64 (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) #s(hole binary64 (+ (* eps (* x (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI))))))) (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) #s(hole binary64 (+ (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))) (* x (+ (* eps (* x (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI))))))) (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) #s(hole binary64 (+ (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))) (* x (+ (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) (* x (+ (* eps (* x (+ (* -1/12 (cos (* 1/2 (PI)))) (* -1/36 eps)))) (* eps (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI)))))))))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI))))))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (+ (* 1/2 (cos (* 1/2 (PI)))) (* x (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI)))))))))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (+ (* 1/2 (cos (* 1/2 (PI)))) (* x (+ (* -1/48 (pow eps 2)) (+ (* 1/4 (sin (* 1/2 (PI)))) (* x (+ (* -1/12 (cos (* 1/2 (PI)))) (* -1/36 eps)))))))))))))
#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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) #s(hole binary64 (* -1/2 (sin (* 1/2 (PI))))))
#s(approx (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/2 (* x (cos (* 1/2 (PI))))))))
#s(approx (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (* x (+ (* 1/4 (* x (sin (* 1/2 (PI))))) (* 1/2 (cos (* 1/2 (PI)))))))))
#s(approx (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (* x (+ (* 1/2 (cos (* 1/2 (PI)))) (* x (+ (* -1/12 (* x (cos (* 1/2 (PI))))) (* 1/4 (sin (* 1/2 (PI)))))))))))
#s(approx (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (* x (cos (* 1/2 (PI))))))))
#s(approx (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) #s(hole binary64 (* 1/2 (PI))))
#s(approx (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) #s(hole binary64 (+ (* -1 x) (* 1/2 (PI)))))
#s(approx (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) #s(hole binary64 (* -1/4 (pow (PI) 2))))
#s(approx (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) #s(hole binary64 (- (pow x 2) (* 1/4 (pow (PI) 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (neg x) (/ (PI) 2)) #s(hole binary64 (* -1/2 (PI))))
#s(approx (- (neg x) (/ (PI) 2)) #s(hole binary64 (- (* -1 x) (* 1/2 (PI)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#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 (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) #s(hole binary64 (- (* 1/6 (* eps (pow x 2))) eps)))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) #s(hole binary64 (- (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) eps)))
#s(approx (* (+ (* (* x x) -1/120) 1/6) eps) #s(hole binary64 (* 1/6 eps)))
#s(approx (* (+ (* (* x x) -1/120) 1/6) eps) #s(hole binary64 (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))))
#s(approx (+ (* (* x x) -1/120) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* x x) -1/120) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow x 2)))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow x 2)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos eps) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (* -1/2 (cos eps)) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* -1/6 (sin eps))))) (* -1/2 (cos eps))) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#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 (sin (+ (/ (PI) 2) x)) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (+ x (* 1/2 (PI)))))
#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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))) (* 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))) (* 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) #s(hole binary64 (* eps (+ (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (+ (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))) (* 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) #s(hole binary64 (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))))))
#s(approx (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) #s(hole binary64 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))))
#s(approx (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) #s(hole binary64 (* -1 x)))
#s(approx (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) 1))))
#s(approx (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/4 (/ (pow (PI) 2) (pow x 2)))))))
#s(approx (- (neg x) (/ (PI) 2)) #s(hole binary64 (* -1 x)))
#s(approx (- (neg x) (/ (PI) 2)) #s(hole binary64 (* x (- (* -1/2 (/ (PI) x)) 1))))
#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 (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) #s(hole binary64 (* -1/120 (* eps (pow x 5)))))
#s(approx (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) #s(hole binary64 (* (pow x 5) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) #s(hole binary64 (* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) #s(hole binary64 (* -1/120 (* eps (pow x 4)))))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) #s(hole binary64 (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))))
#s(approx (* (+ (* (* x x) -1/120) 1/6) eps) #s(hole binary64 (* -1/120 (* eps (pow x 2)))))
#s(approx (* (+ (* (* x x) -1/120) 1/6) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))))
#s(approx (+ (* (* x x) -1/120) 1/6) #s(hole binary64 (* -1/120 (pow x 2))))
#s(approx (+ (* (* x x) -1/120) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1/5040 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* -1/5040 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* -1/5040 (pow x 4))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* -1/5040 (pow x 4))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* -1/5040 (pow x 2))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (+ eps x)) (sin (+ x (* 1/2 (PI)))))))
#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 (sin (+ (/ (PI) 2) x)) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#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 (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (sin (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (- (* -1 x) (* 1/2 (PI)))))) (* 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (sin (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (- (* -1 x) (* 1/2 (PI)))))) (* 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) #s(hole binary64 (* eps (+ (* -1/2 (sin (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (- (* -1 x) (* 1/2 (PI)))))) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (+ (* -1/2 (sin (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (- (* -1 x) (* 1/2 (PI)))))) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) #s(hole binary64 (* -1/2 (sin (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (- (* -1 x) (* 1/2 (PI))))))))
#s(approx (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) #s(hole binary64 (sin (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (- (* -1 x) (* 1/2 (PI)))))))
#s(approx (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ (PI) x)))))))
#s(approx (- (neg x) (/ (PI) 2)) #s(hole binary64 (* -1 (* 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 (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (* 1/120 eps))))))
#s(approx (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (+ (* 1/120 eps) (/ eps (pow x 4))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (- eps (* -1 x))) (sin (- (* 1/2 (PI)) (* -1 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 (sin (+ (/ (PI) 2) x)) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 x)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) 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 (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))))) (sin x))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) #s(hole binary64 (* -1/2 (* eps (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) #s(hole binary64 (* eps (+ (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (+ (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))) (* 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 (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 (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) #s(hole binary64 (* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) #s(hole binary64 (* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))))
#s(approx (* (+ (* (* x x) -1/120) 1/6) eps) #s(hole binary64 (* eps (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos x) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* -1 (* eps (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#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 (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))) (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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))) (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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))) (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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))) (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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))) (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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))) (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 (+ 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 (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))) (/ (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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))) 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 (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) #s(hole binary64 (* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))))))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (- x (* -1 eps))) (sin (+ x (* 1/2 (PI)))))))
#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
9.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) (+ (* (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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (* x x) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (- (neg x) (/ (PI) 2)) (neg x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) (* (+ (* (* x x) -1/120) 1/6) eps) (+ (* (* x x) -1/120) 1/6) -1/120 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1 (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (cos (+ x eps)) (+ x eps) (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x))
6.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) (+ (* (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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (* x x) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (- (neg x) (/ (PI) 2)) (neg x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) (* (+ (* (* x x) -1/120) 1/6) eps) (+ (* (* x x) -1/120) 1/6) -1/120 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1 (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (cos (+ x eps)) (+ x eps) (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x))
5.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) (+ (* (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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (* x x) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (- (neg x) (/ (PI) 2)) (neg x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) (* (+ (* (* x x) -1/120) 1/6) eps) (+ (* (* x x) -1/120) 1/6) -1/120 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1 (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (cos (+ x eps)) (+ x eps) (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x))
5.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) (+ (* (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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (* x x) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (- (neg x) (/ (PI) 2)) (neg x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) (* (+ (* (* x x) -1/120) 1/6) eps) (+ (* (* x x) -1/120) 1/6) -1/120 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1 (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (cos (+ x eps)) (+ x eps) (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x))
5.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) (+ (* (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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (* x x) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) (PI) 2 (- (neg x) (/ (PI) 2)) (neg x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) (* (+ (* (* x x) -1/120) 1/6) eps) (+ (* (* x x) -1/120) 1/6) -1/120 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1 (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (cos (+ x eps)) (+ x eps) (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x))

rewrite188.0ms (1.8%)

Memory

-16.7MiB live, 80.0MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	928	8943
0	1003	8461
1	5475	8461
0	8434	8144

Stop Event

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

Counts

297 → 467

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) (sin.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))))) 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) (sin.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))))) 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) (sin.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))))) 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) (sin.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))))) 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) (sin.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(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) (sin.f64 (/.f64 (-.f64 (.f64 x x) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(literal -1/2 binary64)
(sin.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (.f64 x x) (.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)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.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 (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps) (.f64 x x) (neg.f64 eps)) x)))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps) (.f64 x x) (neg.f64 eps)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps) (.f64 x x) (neg.f64 eps)) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps) (*.f64 x x) (neg.f64 eps))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps)
(fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64))
#s(literal -1/120 binary64)
#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))))
(.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 (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))
(.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) 1))) (* (pow eps 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) 1)) (* (pow eps 2) (* x (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI))))))))) (* (pow eps 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) 1)) (* x (+ (* eps (* x (+ 1/6 (* eps (+ (* -1/12 (cos (* 1/2 (PI)))) (* -1/36 eps)))))) (* (pow eps 2) (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI)))))))))) (* (pow eps 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (+ (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))) (* x (- (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) 1)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (+ (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))) (* x (- (+ (* eps (* x (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI))))))) (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI))))))) 1)))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (+ (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))) (* x (- (+ (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) (* x (+ (* eps (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI)))))) (* x (+ 1/6 (* eps (+ (* -1/12 (cos (* 1/2 (PI)))) (* -1/36 eps)))))))) 1)))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) #s(hole binary64 (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) #s(hole binary64 (+ (* eps (* x (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI))))))) (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) #s(hole binary64 (+ (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))) (* x (+ (* eps (* x (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI))))))) (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) #s(hole binary64 (+ (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))) (* x (+ (* eps (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI)))))) (* x (+ (* eps (* x (+ (* -1/12 (cos (* 1/2 (PI)))) (* -1/36 eps)))) (* eps (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI)))))))))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (pow eps 2)))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* 1/2 (cos (* 1/2 (PI))))))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (+ (* 1/2 (cos (* 1/2 (PI)))) (* x (+ (* -1/48 (pow eps 2)) (* 1/4 (sin (* 1/2 (PI)))))))))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (+ (* 1/2 (cos (* 1/2 (PI)))) (* x (+ (* -1/48 (pow eps 2)) (+ (* 1/4 (sin (* 1/2 (PI)))) (* x (+ (* -1/12 (cos (* 1/2 (PI)))) (* -1/36 eps)))))))))))))
#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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) #s(hole binary64 (* -1/2 (sin (* 1/2 (PI))))))
#s(approx (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/2 (* x (cos (* 1/2 (PI))))))))
#s(approx (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (* x (+ (* 1/4 (* x (sin (* 1/2 (PI))))) (* 1/2 (cos (* 1/2 (PI)))))))))
#s(approx (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) #s(hole binary64 (+ (* -1/2 (sin (* 1/2 (PI)))) (* x (+ (* 1/2 (cos (* 1/2 (PI)))) (* x (+ (* -1/12 (* x (cos (* 1/2 (PI))))) (* 1/4 (sin (* 1/2 (PI)))))))))))
#s(approx (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (* x (cos (* 1/2 (PI))))))))
#s(approx (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) #s(hole binary64 (* 1/2 (PI))))
#s(approx (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) #s(hole binary64 (+ (* -1 x) (* 1/2 (PI)))))
#s(approx (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) #s(hole binary64 (* -1/4 (pow (PI) 2))))
#s(approx (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) #s(hole binary64 (- (pow x 2) (* 1/4 (pow (PI) 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (neg x) (/ (PI) 2)) #s(hole binary64 (* -1/2 (PI))))
#s(approx (- (neg x) (/ (PI) 2)) #s(hole binary64 (- (* -1 x) (* 1/2 (PI)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#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 (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) #s(hole binary64 (- (* 1/6 (* eps (pow x 2))) eps)))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) #s(hole binary64 (- (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))) eps)))
#s(approx (* (+ (* (* x x) -1/120) 1/6) eps) #s(hole binary64 (* 1/6 eps)))
#s(approx (* (+ (* (* x x) -1/120) 1/6) eps) #s(hole binary64 (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps))))
#s(approx (+ (* (* x x) -1/120) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* x x) -1/120) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow x 2)))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow x 2)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos eps) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (* -1/2 (cos eps)) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* -1/6 (sin eps))))) (* -1/2 (cos eps))) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#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 (sin (+ (/ (PI) 2) x)) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (+ x (* 1/2 (PI)))))
#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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))) (* 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))) (* 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) #s(hole binary64 (* eps (+ (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (+ (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))) (* 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) #s(hole binary64 (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))))))
#s(approx (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) #s(hole binary64 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))))
#s(approx (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) #s(hole binary64 (* -1 x)))
#s(approx (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) 1))))
#s(approx (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/4 (/ (pow (PI) 2) (pow x 2)))))))
#s(approx (- (neg x) (/ (PI) 2)) #s(hole binary64 (* -1 x)))
#s(approx (- (neg x) (/ (PI) 2)) #s(hole binary64 (* x (- (* -1/2 (/ (PI) x)) 1))))
#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 (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) #s(hole binary64 (* -1/120 (* eps (pow x 5)))))
#s(approx (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) #s(hole binary64 (* (pow x 5) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) #s(hole binary64 (* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) #s(hole binary64 (* -1/120 (* eps (pow x 4)))))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) #s(hole binary64 (* (pow x 4) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))))
#s(approx (* (+ (* (* x x) -1/120) 1/6) eps) #s(hole binary64 (* -1/120 (* eps (pow x 2)))))
#s(approx (* (+ (* (* x x) -1/120) 1/6) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))))
#s(approx (+ (* (* x x) -1/120) 1/6) #s(hole binary64 (* -1/120 (pow x 2))))
#s(approx (+ (* (* x x) -1/120) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/120))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1/5040 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* -1/5040 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* -1/5040 (pow x 4))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* -1/5040 (pow x 4))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* -1/5040 (pow x 2))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (+ eps x)) (sin (+ x (* 1/2 (PI)))))))
#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 (sin (+ (/ (PI) 2) x)) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#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 (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (sin (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (- (* -1 x) (* 1/2 (PI)))))) (* 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (sin (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (- (* -1 x) (* 1/2 (PI)))))) (* 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) #s(hole binary64 (* eps (+ (* -1/2 (sin (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (- (* -1 x) (* 1/2 (PI)))))) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (+ (* -1/2 (sin (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (- (* -1 x) (* 1/2 (PI)))))) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) #s(hole binary64 (* -1/2 (sin (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (- (* -1 x) (* 1/2 (PI))))))))
#s(approx (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) #s(hole binary64 (sin (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (- (* -1 x) (* 1/2 (PI)))))))
#s(approx (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ (PI) x)))))))
#s(approx (- (neg x) (/ (PI) 2)) #s(hole binary64 (* -1 (* 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 (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (* 1/120 eps))))))
#s(approx (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) #s(hole binary64 (* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (+ (* 1/120 eps) (/ eps (pow x 4))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (- eps (* -1 x))) (sin (- (* 1/2 (PI)) (* -1 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 (sin (+ (/ (PI) 2) x)) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 x)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) 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 (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))))) (sin x))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) #s(hole binary64 (* -1/2 (* eps (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) #s(hole binary64 (* eps (+ (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (+ (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))) (* 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 (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 (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) #s(hole binary64 (* eps (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)))))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) #s(hole binary64 (* eps (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))))
#s(approx (* (+ (* (* x x) -1/120) 1/6) eps) #s(hole binary64 (* eps (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos x) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* -1 (* eps (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#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 (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))) (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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))) (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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))) (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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))) (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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))) (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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))) (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 (+ 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 (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI))))))) (/ (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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (sin (* -1 (/ (- (pow x 2) (* 1/4 (pow (PI) 2))) (+ x (* 1/2 (PI)))))) 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 (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) #s(hole binary64 (* -1 (* eps (* x (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))))))))))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (- x (* -1 eps))) (sin (+ x (* 1/2 (PI)))))))
#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
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #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)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #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)) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #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)) eps) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #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)) eps) (.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #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)) eps)) (.f64 (sin.f64 x) (sin.f64 x))) (fma.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #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)) eps (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #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)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #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)) eps) (.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #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)) eps) (fma.f64 (sin.f64 x) (sin.f64 x) (.f64 (.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #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)) eps) (sin.f64 x)))))
(-.f64 (.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #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)) eps) (sin.f64 x))
(.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #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)) eps)
(.f64 eps (fma.f64 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #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)))
(/.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 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (.f64 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1/2 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 (sin.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1/2 binary64))))
(/.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)) (.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal -1/8 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 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (.f64 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1/2 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 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1/2 binary64))))))
(fma.f64 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #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 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 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 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1/2 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) (sin.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 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 (sin.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1/2 binary64)))
(+.f64 (.f64 (sin.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #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))
(/.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 (.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 (.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))))
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(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
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(fma.f64 (.f64 x x) #s(literal 1/120 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/120 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -1/5040 binary64))))
(fma.f64 #s(literal 1/120 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 1/120 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -1/5040 binary64))))
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(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(-.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (.f64 x x)))
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(+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))
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#s(literal 1/120 binary64)
#s(literal 1 binary64)
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(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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(fma.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 eps x))))
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(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x))
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(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
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(+.f64 x eps)
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(cos.f64 x)
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#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) (fma.f64 (-.f64 (.f64 eps (fma.f64 (fma.f64 #s(literal 1/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) x (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) eps)))) #s(literal 1 binary64)) x (.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) eps)))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/36 binary64) eps)) eps #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal 1/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) eps)) x (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) eps)) eps)) #s(literal 1 binary64)) x (.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) eps)))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) eps))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (.f64 eps (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) eps)) x (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (fma.f64 (.f64 eps (fma.f64 (fma.f64 #s(literal 1/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) x (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) eps)))) x (.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) eps)))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (fma.f64 (fma.f64 (.f64 eps (fma.f64 (fma.f64 #s(literal -1/12 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/36 binary64) eps)) x (fma.f64 #s(literal 1/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))))) x (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) eps)) eps)) x (.f64 (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) eps)))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) eps (fma.f64 (fma.f64 #s(literal 1/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/2 binary64)))) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) eps (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) (fma.f64 (fma.f64 #s(literal -1/12 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/36 binary64) eps)) x (.f64 #s(literal 1/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/2 binary64)))) x (.f64 (.f64 eps eps) #s(literal 1/24 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 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64)))
#s(approx (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64))))
#s(approx (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/2 binary64))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64))))
#s(approx (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) x) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/4 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/2 binary64))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64))))
#s(approx (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) (fma.f64 (neg.f64 x) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64)))) x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64))) x (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (PI.f64)))) x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)))
#s(approx (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))
#s(approx (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (neg x) (/ (PI) 2)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
#s(approx (- (neg x) (/ (PI) 2)) (fma.f64 #s(literal -1 binary64) x (*.f64 (PI.f64) #s(literal -1/2 binary64))))
#s(approx (neg x) (neg.f64 x))
#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 (.f64 (.f64 x x) eps) #s(literal -1/120 binary64) (.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 #s(literal 1/2 binary64) (PI.f64) eps)) #s(literal 1 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.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 (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.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 (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.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 (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) (*.f64 (neg.f64 eps) x))
#s(approx (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
#s(approx (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/120 binary64) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) (neg.f64 eps))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) (-.f64 (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64)) eps))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/120 binary64) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x)) eps))
#s(approx (* (+ (* (* x x) -1/120) 1/6) eps) (*.f64 #s(literal 1/6 binary64) eps))
#s(approx (* (+ (* (* x x) -1/120) 1/6) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/120 binary64) (*.f64 #s(literal 1/6 binary64) eps)))
#s(approx (+ (* (* x x) -1/120) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* (* x x) -1/120) 1/6) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) x)
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64))
#s(approx (+ (* -1/5040 (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (cos.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (fma.f64 (neg.f64 x) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) x) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps))) x (cos.f64 eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps))) (.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))) x) (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps))) x (cos.f64 eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#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 eps x))
#s(approx (cos x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (cos x) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (cos x) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64))) x (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#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 (- (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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.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)) eps) (sin.f64 x)) eps))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) (-.f64 (.f64 (fma.f64 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.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)) eps) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (.f64 (fma.f64 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.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)) eps))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) (fma.f64 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.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)))
#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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) (.f64 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) #s(literal -1/2 binary64)))
#s(approx (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))))
#s(approx (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) (neg.f64 x))
#s(approx (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) (.f64 (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (*.f64 x x))
#s(approx (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (.f64 (fma.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 x x)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (- (neg x) (/ (PI) 2)) (neg.f64 x))
#s(approx (- (neg x) (/ (PI) 2)) (.f64 (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
#s(approx (* (neg eps) (sin x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) eps)) (cos.f64 x)))
#s(approx (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) (.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) eps) #s(literal -1/120 binary64)))
#s(approx (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) eps)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) (.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) eps))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) eps) #s(literal -1/120 binary64)))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) eps))))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) (.f64 (fma.f64 (/.f64 eps (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) eps))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (* x x) -1/120) 1/6) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/120 binary64)))
#s(approx (* (+ (* (* x x) -1/120) 1/6) eps) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) eps)) (.f64 x x)))
#s(approx (+ (* (* x x) -1/120) 1/6) (.f64 (.f64 x x) #s(literal -1/120 binary64)))
#s(approx (+ (* (* x x) -1/120) 1/6) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/120 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64)))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))
#s(approx (+ (* -1/5040 (* x x)) 1/120) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64)) #s(literal 1/5040 binary64)) (*.f64 x x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) x)
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (cos x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) 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 (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 (sin.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1 binary64) x (.f64 (PI.f64) #s(literal -1/2 binary64))))) #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)) eps) (sin.f64 x)) eps))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) (-.f64 (.f64 (fma.f64 (sin.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1 binary64) x (.f64 (PI.f64) #s(literal -1/2 binary64))))) #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)) eps) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (.f64 (fma.f64 (sin.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1 binary64) x (.f64 (PI.f64) #s(literal -1/2 binary64))))) #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)) eps))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) (fma.f64 (sin.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1 binary64) x (.f64 (PI.f64) #s(literal -1/2 binary64))))) #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)))
#s(approx (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))))) (.f64 (sin.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1 binary64) x (.f64 (PI.f64) #s(literal -1/2 binary64))))) #s(literal -1/2 binary64)))
#s(approx (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))) (sin.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1 binary64) x (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
#s(approx (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (neg x) (/ (PI) 2)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) (neg.f64 x))) (cos.f64 x)))
#s(approx (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) (neg.f64 (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) eps)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) (neg.f64 (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) eps (/.f64 eps (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 #s(literal 1/5040 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/120 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1 binary64) x)))))
#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 (cos x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1 binary64) x))))
#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 (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (*.f64 (sin.f64 x) (neg.f64 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))
#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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) (*.f64 (sin.f64 x) (neg.f64 eps)))
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#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) (.f64 (fma.f64 (fma.f64 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) #s(literal -1/2 binary64) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) (.f64 (fma.f64 (fma.f64 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.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)) eps (neg.f64 (sin.f64 x))) eps))
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#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))) (sin.f64 x)))
#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) (-.f64 (.f64 (fma.f64 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) #s(literal -1/2 binary64) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps) (sin.f64 x)))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (.f64 (.f64 #s(literal -1/2 binary64) eps) (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (.f64 (fma.f64 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) #s(literal -1/2 binary64) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))) eps))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) (.f64 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) (fma.f64 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))))
#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 (neg eps) (neg.f64 eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (cos.f64 x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.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 (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.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 (- (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 #s(literal 1/2 binary64) (PI.f64) x)) (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal -1/2 binary64))) 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 (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) (.f64 (.f64 eps x) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64))))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (* x x) -1/120) 1/6) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (cos.f64 x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (fma.f64 (sin.f64 x) (neg.f64 eps) (cos.f64 x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps (cos.f64 x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (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)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
#s(approx (cos (+ x eps)) (cos.f64 x))
#s(approx (cos (+ x eps)) (fma.f64 (sin.f64 x) (neg.f64 eps) (cos.f64 x)))
#s(approx (cos (+ x eps)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (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 (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (sin x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) eps) (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (/.f64 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) (.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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) (.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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) (.f64 (fma.f64 (/.f64 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.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 (+ x eps) (*.f64 (+.f64 (/.f64 x 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)))
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#s(approx (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) eps)))))
#s(approx (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) 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 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.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 (sin (/ (- (* x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2)))))) (.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 (neg.f64 (/.f64 (fma.f64 x x (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.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 #s(literal 1/2 binary64) (PI.f64) x) (neg.f64 eps))) (cos.f64 x)))
#s(approx (* (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) x) (neg.f64 (.f64 (.f64 eps x) (fma.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* (* (+ (* (* x x) -1/120) 1/6) eps) (* x x)) (neg eps)) (.f64 (neg.f64 eps) (fma.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
#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))))

eval79.0ms (0.8%)

Memory: 11.0MiB live, 56.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 25 888 to 3 205 computations (87.6% saved)

prune41.0ms (0.4%)

Memory

-3.5MiB live, 44.1MiB allocated; 0ms collecting garbage

Pruning

39 alts after pruning (30 fresh and 9 done)

	Pruned	Kept	Total
New	572	6	578
Fresh	3	24	27
Picked	2	3	5
Done	0	6	6
Total	577	39	616

Accuracy

100.0%

Counts

616 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.1%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	57.1%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	56.8%	(-.f64 (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)) x)))
	56.9%	(-.f64 (sin.f64 #s(approx (+ (/ (PI) 2) (+ eps x)) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps))) (cos.f64 x))
	3.6%	(-.f64 (sin.f64 #s(approx (+ (/ (PI) 2) (+ eps x)) eps)) (cos.f64 x))
	56.8%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
✓	56.8%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	55.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	56.8%	(-.f64 (cos.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓	56.8%	(-.f64 (cos.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (cos.f64 x))
	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))
✓	98.7%	#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))
	98.4%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	97.9%	#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))
	97.4%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	97.4%	#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))
	56.6%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
	98.0%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) #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)))))
	97.6%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #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)))))
	97.3%	#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))))
✓	80.5%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps) (.f64 x x) (neg.f64 eps)) x)))
	80.5%	#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) -1/120) 1/6) #s(literal 1/6 binary64)) eps) (*.f64 x x) (neg.f64 eps)) x)))
	55.3%	#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)))
✓	55.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
	99.1%	#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) (sin.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))))) eps) (sin.f64 x)) eps))
	99.1%	#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) (sin.f64 #s(approx (/ (- ( x x) (* (/ (PI) 2) (/ (PI) 2))) (- (neg x) (/ (PI) 2))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)))))) eps) (sin.f64 x)) eps))
✓	99.1%	#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))
	98.5%	#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 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
✓	81.1%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	80.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x)))))))
✓	80.7%	#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))))
✓	80.2%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
	97.4%	#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))
	97.4%	#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))
	97.9%	#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 #s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) (.f64 (.f64 x x) #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))
	56.6%	#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)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
	97.9%	#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 (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) eps))
	56.6%	#s(approx (- (cos (+ x eps)) (cos x)) #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))))
	22.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (* -1/2 (sin (+ (* -1 x) (/ (PI) 2))))) 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)))))

Compiler

Compiled 3 196 to 1 282 computations (59.9% saved)

regimes38.0ms (0.4%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Counts

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

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) (sin.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))))) eps) (sin.f64 x)) eps))

Calls

3 calls:

13.0ms	eps
13.0ms	x
10.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes35.0ms (0.3%)

Memory

-25.6MiB live, 21.2MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes32.0ms (0.3%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Counts

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

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:

11.0ms	eps
11.0ms	x
8.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes31.0ms (0.3%)

Memory

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

Counts

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

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:

11.0ms	x
11.0ms	eps
8.0ms	(-.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)

regimes32.0ms (0.3%)

Memory

-31.9MiB live, 18.7MiB allocated; 2ms collecting garbage

Counts

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

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:

12.0ms	eps
10.0ms	x
8.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes26.0ms (0.3%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Counts

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

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:

9.0ms	x
9.0ms	eps
6.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes22.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes22.0ms (0.2%)

Memory

-32.9MiB live, 14.2MiB allocated; 1ms collecting garbage

Counts

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

Calls

3 calls:

8.0ms	eps
7.0ms	x
5.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
98.0%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.0%	1	`x`
98.0%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes14.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Counts

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

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 (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) eps))

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes12.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

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

4.0ms	eps
4.0ms	x
3.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes10.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB 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 (- ( (* (cos x) eps) -1/2) (sin 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 #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)) (.f64 #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)) eps))
#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)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) -1/120) 1/6) #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 (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps x) #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)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) eps) (.f64 x x) (neg.f64 eps)) x)))
#s(approx (- (sin (+ (/ (PI) 2) (+ eps x))) (cos x)) #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)))))

Outputs

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

Calls

3 calls:

4.0ms	eps
4.0ms	x
3.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes10.0ms (0.1%)

Memory

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

Counts

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.1%)

Memory

-40.2MiB live, 7.3MiB allocated; 1ms 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 (- ( (* (cos x) eps) -1/2) (sin 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 #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)) (.f64 #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)) eps))
#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)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) -1/120) 1/6) #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 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))

Calls

3 calls:

4.0ms	eps
3.0ms	x
2.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0%)

Memory

5.1MiB live, 5.1MiB 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 (- ( (* (cos x) eps) -1/2) (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:

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

Results

Accuracy	Segments	Branch
80.2%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
80.2%	1	`eps`
80.2%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0%)

Memory

4.0MiB live, 4.0MiB 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:

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

Results

Accuracy	Segments	Branch
55.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
55.3%	1	`x`
55.3%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify52.0ms (0.5%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	517
1	273	517
2	545	516
3	1539	514
4	5335	514

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

derivations373.0ms (3.7%)

Memory

-6.1MiB live, 41.0MiB allocated; 1ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 518 to 168 computations (67.6% saved)

preprocess74.0ms (0.7%)

Memory: 5.4MiB live, 53.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 084 to 378 computations (65.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze115.0ms (1.1%)

sample7.7s (75.7%)

explain200.0ms (2%)

preprocess229.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0%)

rewrite119.0ms (1.2%)

eval12.0ms (0.1%)

prune9.0ms (0.1%)

series31.0ms (0.3%)

rewrite160.0ms (1.6%)

eval58.0ms (0.6%)

prune34.0ms (0.3%)

series55.0ms (0.5%)

rewrite164.0ms (1.6%)

eval100.0ms (1%)

prune43.0ms (0.4%)

series40.0ms (0.4%)

rewrite188.0ms (1.8%)

eval79.0ms (0.8%)

prune41.0ms (0.4%)

regimes38.0ms (0.4%)

regimes35.0ms (0.3%)

regimes32.0ms (0.3%)

regimes31.0ms (0.3%)

regimes32.0ms (0.3%)

regimes26.0ms (0.3%)

regimes22.0ms (0.2%)

regimes22.0ms (0.2%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

simplify52.0ms (0.5%)

derivations373.0ms (3.7%)

preprocess74.0ms (0.7%)

end0.0ms (0%)

Profiling