Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

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

analyze29.0ms (0.3%)

Memory

24.9MiB live, 24.9MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.8s (78.1%)

Memory

97.3MiB live, 6 817.1MiB allocated; 2.7s collecting garbage

Samples

2.7s	5 751×	2	valid
2.5s	26 282×	0	invalid
369.0ms	2 449×	1	valid
6.0ms	56×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.8s

ival-cos: 2.2s (58.6% of total)

adjust: 470.0ms (12.3% of total)

ival-fabs: 292.0ms (7.6% of total)

ival-add!: 277.0ms (7.2% of total)

ival-mult!: 206.0ms (5.4% of total)

ival-<: 148.0ms (3.9% of total)

ival-sub!: 113.0ms (2.9% of total)

ival-and: 71.0ms (1.9% of total)

ival-assert: 12.0ms (0.3% of total)

Bogosity

preprocess90.0ms (1%)

Memory

-26.6MiB live, 18.6MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	48
1	53	48
2	93	48
3	124	48
4	132	48
5	154	48
6	238	48
7	800	48
8	5175	48

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB 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	x	@	-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	eps	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))

rewrite170.0ms (1.9%)

Memory

-30.3MiB live, 138.4MiB allocated; 35ms 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 x (-.f64 x eps)) #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 x (-.f64 x eps)) #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 x (-.f64 x eps)) #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 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (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))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.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))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))))
(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 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.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))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))))))
(-.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))))))
(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)))
(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)))
(-.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 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (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 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 eps (-.f64 eps x) (.f64 x x)))
(/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 eps eps (.f64 x (-.f64 x eps))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 eps (-.f64 eps x) (.f64 x x))) (/.f64 (.f64 (.f64 eps eps) (neg.f64 eps)) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 eps eps) eps) (fma.f64 eps eps (.f64 x (-.f64 x eps)))) (/.f64 (.f64 (neg.f64 x) (.f64 x x)) (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 (.f64 (.f64 x x) x) (fma.f64 eps (-.f64 eps x) (.f64 x x))) (/.f64 (.f64 (.f64 eps eps) eps) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(+.f64 (/.f64 (.f64 (.f64 eps eps) eps) (fma.f64 eps eps (.f64 x (-.f64 x eps)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 eps eps (.f64 x (-.f64 x eps)))))
(+.f64 eps (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 eps x)
(+.f64 x (*.f64 (neg.f64 eps) #s(literal -1 binary64)))
(+.f64 x eps)
x
eps
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(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 x (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 x (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x) (sin.f64 eps)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)))
#s(approx (cos (+ x eps)) (fma.f64 x (-.f64 (.f64 (.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (cos (+ x eps)) (fma.f64 x (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) x) (sin.f64 eps)) (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 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) 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 (-.f64 (/.f64 eps (neg.f64 x)) #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 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
#s(approx (cos (+ x eps)) (cos.f64 x))
#s(approx (cos (+ x eps)) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) eps)))
#s(approx (cos (+ x eps)) (fma.f64 eps (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) (cos.f64 x)))
#s(approx (cos (+ x eps)) (fma.f64 eps (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) (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 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64)) (neg.f64 eps)))

eval10.0ms (0.1%)

Memory: 22.7MiB live, 22.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 139 to 438 computations (61.5% saved)

prune8.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	96	9	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	96	10	106

Accuracy

99.8%

Counts

106 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.1%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
▶	54.1%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
✓	54.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	53.4%	(-.f64 (cos.f64 (+.f64 x eps)) #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))))
	53.4%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (.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)) x) x #s(literal 1 binary64))))
	81.0%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
▶	53.0%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
▶	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
▶	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
	81.2%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Compiler

Compiled 254 to 244 computations (3.9% saved)

series34.0ms (0.4%)

Memory

-0.4MiB live, 46.0MiB allocated; 2ms collecting garbage

Counts

38 → 203

Calls

Call 1

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

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) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #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 (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x)))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/48 (* (pow eps 2) x)) (* 1/6 eps))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 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 (* (* (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 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 (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (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 (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #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 (* -1/2 (cos x)) #s(hole binary64 -1/2))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin 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 eps) (cos x)) #s(hole binary64 (cos eps)))
#s(approx (* (cos eps) (cos x)) #s(hole binary64 (+ (cos eps) (* -1/2 (* (pow x 2) (cos eps))))))
#s(approx (* (cos eps) (cos x)) #s(hole binary64 (+ (cos eps) (* (pow x 2) (+ (* -1/2 (cos eps)) (* 1/24 (* (pow x 2) (cos eps))))))))
#s(approx (* (cos eps) (cos x)) #s(hole binary64 (+ (cos eps) (* (pow x 2) (+ (* -1/2 (cos eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (cos eps))) (* 1/24 (cos eps)))))))))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) #s(hole binary64 (+ 1 (* x (sin eps)))))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) #s(hole binary64 (+ 1 (* x (+ (sin eps) (* -1/2 x))))))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) #s(hole binary64 (+ 1 (* x (+ (sin eps) (* x (- (* -1/6 (* x (sin eps))) 1/2)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 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 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 (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))))
#s(approx (* (cos eps) (cos x)) #s(hole binary64 (* (cos eps) (cos x))))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) #s(hole binary64 (+ (cos x) (* (sin eps) (sin 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) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 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 (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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (cos eps) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (cos eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* (pow eps 2) (cos x))))))
#s(approx (* (cos eps) (cos x)) #s(hole binary64 (+ (cos x) (* (pow eps 2) (+ (* -1/2 (cos x)) (* 1/24 (* (pow eps 2) (cos x))))))))
#s(approx (* (cos eps) (cos x)) #s(hole binary64 (+ (cos x) (* (pow eps 2) (+ (* -1/2 (cos x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (cos x))) (* 1/24 (cos x)))))))))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) #s(hole binary64 (+ (cos x) (* eps (sin x)))))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (sin x) (* -1/6 (* (pow eps 2) (sin x))))))))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (sin x) (* (pow eps 2) (+ (* -1/6 (sin x)) (* 1/120 (* (pow eps 2) (sin x))))))))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #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)) eps) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #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)) #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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #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 (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) (* x x) 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x)) (sin eps))
5.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) (* x x) 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x)) (sin eps))
5.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) (* x x) 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x)) (sin eps))
5.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) (* x x) 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x)) (sin eps))
4.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) (* x x) 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x)) (sin eps))

rewrite169.0ms (1.9%)

Memory

2.2MiB live, 144.1MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	736	5226
0	794	5086
1	4407	5086
0	8128	4904

Stop Event

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

Counts

241 → 386

Calls

Call 1

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

Outputs
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)))))
(-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x))
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)
(.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)))
(fma.f64 (.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 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (.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)))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) (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) eps))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) (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)))
(fma.f64 (.f64 (cos.f64 x) eps) #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) eps))
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.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)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (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 #s(literal -1/2 binary64) (.f64 (cos.f64 x) eps) (.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)))
(fma.f64 eps (.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) 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 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.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 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 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 2 binary64))) (-.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 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (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))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.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 2 binary64)) (.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)))))
(fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(fma.f64 eps (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (neg.f64 eps) (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))))
(-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (neg.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 (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)))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
#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 eps (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))))
(fma.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) eps (.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps))
(fma.f64 eps (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (.f64 eps (.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) eps) (.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps))
(+.f64 (.f64 eps (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (.f64 #s(literal -1/216 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (sin.f64 x) #s(literal -1/6 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/13824 binary64) (.f64 #s(literal 1/216 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))))))
(fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(fma.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(-.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (neg.f64 (*.f64 (cos.f64 x) eps)) #s(literal 1/24 binary64)))
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal -1/6 binary64)))
(+.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(sin.f64 x)
#s(literal 1/6 binary64)
(.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x))
(.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps))
(.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
eps
#s(literal 1/24 binary64)
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 eps)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 eps) #s(literal 1 binary64)))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(sin.f64 (+.f64 (neg.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 eps)))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
(+.f64 (.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (pow.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (cos.f64 (+.f64 eps x)) #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)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 (pow.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))))
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(sin.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(-.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 (.f64 eps eps) (.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
(/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps)) (fma.f64 x x (-.f64 (.f64 eps eps) (*.f64 eps x))))
(+.f64 eps x)
(+.f64 x eps)
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)))
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(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x)))))
(fma.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/24 binary64) x) x)
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.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 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))))
(-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 x) eps))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal -1/2 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 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64))) (fma.f64 (cos.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
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(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.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 (cos.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (cos.f64 eps))
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(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (sin.f64 (+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 eps))) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) eps)) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
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(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 eps) x)) (cos.f64 (-.f64 (neg.f64 eps) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) (neg.f64 eps))) (cos.f64 (-.f64 (neg.f64 x) (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (-.f64 (neg.f64 x) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(-.f64 (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(sin.f64 eps)
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (fma.f64 x (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (fma.f64 x (-.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)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (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)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) eps) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.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 (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 x x)
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/48 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) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal -1/36 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) x (.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)) (*.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 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#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) 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 (.f64 x x) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/48 binary64) eps)) (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/17280 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/576 binary64) eps)) (.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 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#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 x (-.f64 (.f64 (.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (cos (+ x eps)) (fma.f64 x (-.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)) (cos.f64 eps)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/24 (* x x)) 1/2) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (* 1/24 (* x x)) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps eps)) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (- (* (* -1/2 (cos x)) eps) (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)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/48 binary64) (.f64 #s(literal 1/4 binary64) eps)) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/1440 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/48 binary64) eps)) (.f64 #s(literal 1/4 binary64) eps)) (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps)))
#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 (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (fma.f64 x (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (fma.f64 x (-.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)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (cos eps) (cos x)) (cos.f64 eps))
#s(approx (* (cos eps) (cos x)) (fma.f64 (.f64 (.f64 x x) (cos.f64 eps)) #s(literal -1/2 binary64) (cos.f64 eps)))
#s(approx (* (cos eps) (cos x)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (cos.f64 eps)) #s(literal 1/24 binary64) (.f64 (cos.f64 eps) #s(literal -1/2 binary64))) (.f64 x x) (cos.f64 eps)))
#s(approx (* (cos eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) (cos.f64 eps)) #s(literal -1/720 binary64) (.f64 (cos.f64 eps) #s(literal 1/24 binary64))) (.f64 x x) (.f64 (cos.f64 eps) #s(literal -1/2 binary64))) (.f64 x x) (cos.f64 eps)))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) #s(literal 1 binary64))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) (fma.f64 (sin.f64 eps) x #s(literal 1 binary64)))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (sin.f64 eps)) x #s(literal 1 binary64)))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) (fma.f64 x (fma.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 eps) x)) #s(literal 1/2 binary64)) x (sin.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.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 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 (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (* 1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (- (* 1/24 (* x x)) 1/2) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))
#s(approx (* (* -1/2 (cos x)) eps) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (cos eps) (cos x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 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 eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin 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 eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (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)) eps) (.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)))
#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 eps (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) (cos.f64 x)))
#s(approx (cos (+ x eps)) (fma.f64 eps (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) (cos.f64 x)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin 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 eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
#s(approx (* (cos eps) (cos x)) (cos.f64 x))
#s(approx (* (cos eps) (cos x)) (fma.f64 (.f64 (.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (* (cos eps) (cos x)) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (cos.f64 x)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps) (cos.f64 x)))
#s(approx (* (cos eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (cos.f64 x)) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (.f64 eps eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps) (cos.f64 x)))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) (cos.f64 x))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) (fma.f64 (sin.f64 x) eps (cos.f64 x)))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) (fma.f64 eps (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 eps eps)) (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
#s(approx (+ (* (sin x) (sin eps)) (cos x)) (fma.f64 eps (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/120 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64))) (.f64 eps eps) (sin.f64 x)) (cos.f64 x)))
#s(approx (sin eps) eps)
#s(approx (sin eps) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 eps eps) eps)) (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 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps)) #s(literal 1/24 binary64)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (.f64 eps eps) eps) (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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 eps eps) eps)) (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 (*.f64 eps eps) eps)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (.f64 (.f64 eps eps) eps) (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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal 1/24 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) 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)))) (.f64 eps eps)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.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)) (.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) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (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 (- (* (* -1/2 (cos x)) eps) (sin x)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal 1/24 binary64) (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))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/24 binary64) (cos.f64 x))) (.f64 (.f64 eps eps) eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/24 binary64) (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))) (.f64 (.f64 eps eps) eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (neg.f64 eps) (*.f64 eps eps)) (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 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) eps)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (neg.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/24 binary64) (cos.f64 x))) (.f64 (.f64 eps eps) eps))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (neg.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/24 binary64) (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))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (fma.f64 (cos.f64 x) #s(literal 1/24 binary64) (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))) (*.f64 eps eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/24 binary64) (cos.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))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))

eval61.0ms (0.7%)

Memory: 4.1MiB live, 49.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 5 603 to 2 191 computations (60.9% saved)

prune24.0ms (0.3%)

Memory

-17.4MiB live, 29.4MiB allocated; 2ms collecting garbage

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	376	15	391
Fresh	1	3	4
Picked	4	1	5
Done	0	1	1
Total	381	20	401

Accuracy

100.0%

Counts

401 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.1%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	54.1%	(-.f64 (.f64 #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))) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
✓	54.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	53.4%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (.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)) x) x #s(literal 1 binary64))))
	81.0%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
▶	81.2%	#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
▶	52.9%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
	6.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.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 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))))) eps))
▶	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #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))) eps)) eps) (sin.f64 x)) eps))
✓	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
▶	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (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))
▶	98.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (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))
	98.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
	54.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps eps)) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))

Compiler

Compiled 754 to 708 computations (6.1% saved)

series46.0ms (0.5%)

Memory

8.6MiB live, 58.8MiB allocated; 11ms collecting garbage

Counts

49 → 227

Calls

Call 1

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

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) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #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 (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x)))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/48 (* (pow eps 2) x)) (* 1/6 eps))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (+ 1/6 (* -1/48 (* eps x)))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) #s(hole binary64 (* -1/48 eps)))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) #s(hole binary64 (+ (* -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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (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 (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* eps x) 1/4) 1) #s(hole binary64 -1))
#s(approx (- (* (* eps x) 1/4) 1) #s(hole binary64 (- (* 1/4 (* eps x)) 1)))
#s(approx (* (* eps x) 1/4) #s(hole binary64 (* 1/4 (* eps x))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #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 (* -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 (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* 1/120 (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1/36 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* (pow x 3) (- (* -1/48 (/ eps x)) 1/36))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* (pow x 3) (- (+ (* -1/48 (/ eps x)) (/ 1/6 (pow x 2))) 1/36))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* (pow x 3) (- (+ (* -1/48 (/ eps x)) (+ (* 1/24 (/ eps (pow x 3))) (/ 1/6 (pow x 2)))) 1/36))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (* -1/36 (pow x 2))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (* (pow x 2) (- (* -1/48 (/ eps x)) 1/36))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (* (pow x 2) (- (+ (* -1/48 (/ eps x)) (/ 1/6 (pow x 2))) 1/36))))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) #s(hole binary64 (* -1/36 x)))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) #s(hole binary64 (* x (- (* -1/48 (/ eps x)) 1/36))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* 1/4 (* eps (pow x 2)))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (* 1/4 eps) (/ 1 x)))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ 1 x)))))
#s(approx (- (* (* eps x) 1/4) 1) #s(hole binary64 (* 1/4 (* eps x))))
#s(approx (- (* (* eps x) 1/4) 1) #s(hole binary64 (* x (- (* 1/4 eps) (/ 1 x)))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/36 (* 1/48 (/ eps x)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/36 (* -1 (/ (+ (* -1/48 eps) (* 1/6 (/ 1 x))) x)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/36 (* -1 (/ (+ (* -1 (/ (- (* -1/24 (/ eps x)) 1/6) x)) (* -1/48 eps)) x)))))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/48 eps) (* 1/6 (/ 1 x))) x)) 1/36))))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) #s(hole binary64 (* -1 (* x (+ 1/36 (* 1/48 (/ eps x)))))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ eps x))) x)) (* 1/4 eps)))))
#s(approx (- (* (* eps x) 1/4) 1) #s(hole binary64 (* -1 (* x (+ (* -1/4 eps) (/ 1 x))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#s(approx (- (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) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* x (+ 1/6 (* -1/36 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (+ (* eps (+ 1/24 (* -1/48 (pow x 2)))) (* x (+ 1/6 (* -1/36 (pow x 2)))))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (+ 1/6 (* -1/36 (pow x 2)))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (+ 1/6 (+ (* -1/36 (pow x 2)) (* -1/48 (* eps x))))))
#s(approx (* -1/48 eps) #s(hole binary64 (* -1/48 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* 1/24 eps) #s(hole binary64 (* 1/24 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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2)))))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #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)) eps) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #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)) #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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* eps (+ 1/24 (* -1/48 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* eps (+ 1/24 (+ (* -1/48 (pow x 2)) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps))))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (* -1/48 (* eps x))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (* eps (+ (* -1/36 (/ (pow x 2) eps)) (+ (* -1/48 x) (* 1/6 (/ 1 eps)))))))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) #s(hole binary64 (* eps (- (* -1/36 (/ x eps)) 1/48))))
#s(approx (- (cos eps) 1) #s(hole binary64 (- (cos eps) 1)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2))))
#s(approx (- (* (* eps x) 1/4) 1) #s(hole binary64 (* eps (- (* 1/4 x) (/ 1 eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1 (* eps (- (* 1/48 (pow x 2)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1 (* eps (- (+ (* -1 (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/48 (pow x 2))) 1/24)))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1/6 (* -1/36 (pow x 2))) eps)) (* 1/48 x))))))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) #s(hole binary64 (* -1 (* eps (+ 1/48 (* 1/36 (/ x eps)))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* -1/4 (pow x 2)))))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (+ (* -1/4 (pow x 2)) (/ x eps)))))))
#s(approx (- (* (* eps x) 1/4) 1) #s(hole binary64 (* -1 (* eps (+ (* -1/4 x) (/ 1 eps))))))

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) (+ (* -1/36 x) (* -1/48 eps)) -1/36 (* -1/48 eps) -1/48 eps 1/6 (* 1/24 eps) 1/24 (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (- (* (* eps x) 1/4) 1) (* (* eps x) 1/4) (* eps x) 1/4 (* -1/2 eps) (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (* (neg eps) (sin x)) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x))
6.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) (+ (* -1/36 x) (* -1/48 eps)) -1/36 (* -1/48 eps) -1/48 eps 1/6 (* 1/24 eps) 1/24 (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (- (* (* eps x) 1/4) 1) (* (* eps x) 1/4) (* eps x) 1/4 (* -1/2 eps) (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (* (neg eps) (sin x)) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x))
6.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) (+ (* -1/36 x) (* -1/48 eps)) -1/36 (* -1/48 eps) -1/48 eps 1/6 (* 1/24 eps) 1/24 (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (- (* (* eps x) 1/4) 1) (* (* eps x) 1/4) (* eps x) 1/4 (* -1/2 eps) (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (* (neg eps) (sin x)) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x))
5.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) (+ (* -1/36 x) (* -1/48 eps)) -1/36 (* -1/48 eps) -1/48 eps 1/6 (* 1/24 eps) 1/24 (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (- (* (* eps x) 1/4) 1) (* (* eps x) 1/4) (* eps x) 1/4 (* -1/2 eps) (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (* (neg eps) (sin x)) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x))
5.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) (+ (* -1/36 x) (* -1/48 eps)) -1/36 (* -1/48 eps) -1/48 eps 1/6 (* 1/24 eps) 1/24 (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (- (* (* eps x) 1/4) 1) (* (* eps x) 1/4) (* eps x) 1/4 (* -1/2 eps) (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (* (neg eps) (sin x)) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x))

rewrite180.0ms (2.1%)

Memory

-0.1MiB live, 183.8MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	826	6472
0	877	6290
1	4699	6286
0	8088	5964

Stop Event

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

Counts

276 → 389

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #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))) eps)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #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))) eps)) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #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))) eps)) eps) (sin.f64 x))
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #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))) eps)) eps)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #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))) eps))
(cos.f64 x)
x
#s(literal -1/2 binary64)
(.f64 #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))) 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)))
(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))
(fma.f64 (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)) x #s(literal 1/6 binary64))
(fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))
#s(literal -1/36 binary64)
(*.f64 #s(literal -1/48 binary64) eps)
#s(literal -1/48 binary64)
eps
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/24 binary64) eps)
#s(literal 1/24 binary64)
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (cos eps) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (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))
(.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (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 (- (* (* -1/2 (cos x)) eps) (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)))
(fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))
(-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps x) #s(literal 1/4 binary64))
(*.f64 eps x)
#s(literal 1/4 binary64)
(*.f64 #s(literal -1/2 binary64) eps)
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(neg.f64 eps)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) 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))) eps))
(.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) 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))) eps)
(-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(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) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #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 (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x)))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/48 (* (pow eps 2) x)) (* 1/6 eps))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (+ 1/6 (* -1/48 (* eps x)))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) #s(hole binary64 (* -1/48 eps)))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) #s(hole binary64 (+ (* -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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (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 (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* eps x) 1/4) 1) #s(hole binary64 -1))
#s(approx (- (* (* eps x) 1/4) 1) #s(hole binary64 (- (* 1/4 (* eps x)) 1)))
#s(approx (* (* eps x) 1/4) #s(hole binary64 (* 1/4 (* eps x))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #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 (* -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 (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* 1/120 (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1/36 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* (pow x 3) (- (* -1/48 (/ eps x)) 1/36))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* (pow x 3) (- (+ (* -1/48 (/ eps x)) (/ 1/6 (pow x 2))) 1/36))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* (pow x 3) (- (+ (* -1/48 (/ eps x)) (+ (* 1/24 (/ eps (pow x 3))) (/ 1/6 (pow x 2)))) 1/36))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (* -1/36 (pow x 2))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (* (pow x 2) (- (* -1/48 (/ eps x)) 1/36))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (* (pow x 2) (- (+ (* -1/48 (/ eps x)) (/ 1/6 (pow x 2))) 1/36))))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) #s(hole binary64 (* -1/36 x)))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) #s(hole binary64 (* x (- (* -1/48 (/ eps x)) 1/36))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* 1/4 (* eps (pow x 2)))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (* 1/4 eps) (/ 1 x)))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ 1 x)))))
#s(approx (- (* (* eps x) 1/4) 1) #s(hole binary64 (* 1/4 (* eps x))))
#s(approx (- (* (* eps x) 1/4) 1) #s(hole binary64 (* x (- (* 1/4 eps) (/ 1 x)))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/36 (* 1/48 (/ eps x)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/36 (* -1 (/ (+ (* -1/48 eps) (* 1/6 (/ 1 x))) x)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/36 (* -1 (/ (+ (* -1 (/ (- (* -1/24 (/ eps x)) 1/6) x)) (* -1/48 eps)) x)))))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/48 eps) (* 1/6 (/ 1 x))) x)) 1/36))))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) #s(hole binary64 (* -1 (* x (+ 1/36 (* 1/48 (/ eps x)))))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ eps x))) x)) (* 1/4 eps)))))
#s(approx (- (* (* eps x) 1/4) 1) #s(hole binary64 (* -1 (* x (+ (* -1/4 eps) (/ 1 x))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#s(approx (- (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) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* x (+ 1/6 (* -1/36 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (+ (* eps (+ 1/24 (* -1/48 (pow x 2)))) (* x (+ 1/6 (* -1/36 (pow x 2)))))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (+ 1/6 (* -1/36 (pow x 2)))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (+ 1/6 (+ (* -1/36 (pow x 2)) (* -1/48 (* eps x))))))
#s(approx (* -1/48 eps) #s(hole binary64 (* -1/48 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* 1/24 eps) #s(hole binary64 (* 1/24 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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2)))))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #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)) eps) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #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)) #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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* eps (+ 1/24 (* -1/48 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* eps (+ 1/24 (+ (* -1/48 (pow x 2)) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps))))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (* -1/48 (* eps x))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (* eps (+ (* -1/36 (/ (pow x 2) eps)) (+ (* -1/48 x) (* 1/6 (/ 1 eps)))))))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) #s(hole binary64 (* eps (- (* -1/36 (/ x eps)) 1/48))))
#s(approx (- (cos eps) 1) #s(hole binary64 (- (cos eps) 1)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2))))
#s(approx (- (* (* eps x) 1/4) 1) #s(hole binary64 (* eps (- (* 1/4 x) (/ 1 eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1 (* eps (- (* 1/48 (pow x 2)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1 (* eps (- (+ (* -1 (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/48 (pow x 2))) 1/24)))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1/6 (* -1/36 (pow x 2))) eps)) (* 1/48 x))))))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) #s(hole binary64 (* -1 (* eps (+ 1/48 (* 1/36 (/ x eps)))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* -1/4 (pow x 2)))))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (+ (* -1/4 (pow x 2)) (/ x eps)))))))
#s(approx (- (* (* eps x) 1/4) 1) #s(hole binary64 (* -1 (* eps (+ (* -1/4 x) (/ 1 eps))))))

Outputs
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (.f64 (-.f64 (.f64 (fma.f64 #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))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 #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))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (fma.f64 #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))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #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))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (fma.f64 eps (fma.f64 #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))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #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))) 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 #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))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (fma.f64 #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))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))))
(-.f64 (.f64 (fma.f64 #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))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))
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#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) (fma.f64 (fma.f64 #s(literal -1/48 binary64) eps (*.f64 #s(literal -1/36 binary64) x)) x #s(literal 1/6 binary64)))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) (*.f64 #s(literal -1/48 binary64) eps))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) (fma.f64 #s(literal -1/48 binary64) eps (*.f64 #s(literal -1/36 binary64) x)))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.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 (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) eps) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) eps) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* eps x) 1/4) 1) #s(literal -1 binary64))
#s(approx (- (* (* eps x) 1/4) 1) (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) eps) x) #s(literal 1 binary64)))
#s(approx (* (* eps x) 1/4) (.f64 (.f64 #s(literal 1/4 binary64) eps) x))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (fma.f64 x (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (fma.f64 x (-.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)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (*.f64 #s(literal 1/6 binary64) eps)) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x))
#s(approx (* (* -1/2 (cos x)) eps) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/48 binary64) (.f64 #s(literal 1/4 binary64) eps)) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/1440 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/48 binary64) eps)) (.f64 #s(literal 1/4 binary64) eps)) (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps)))
#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 (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) x)
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* 1/120 (* x x)) 1/6) (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (* 1/120 (* x x)) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/48 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (-.f64 (fma.f64 (/.f64 eps x) #s(literal -1/48 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) #s(literal 1/36 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (-.f64 (fma.f64 (/.f64 eps x) #s(literal -1/48 binary64) (fma.f64 (/.f64 eps (.f64 (.f64 x x) x)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) #s(literal 1/36 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) (.f64 (.f64 x x) #s(literal -1/36 binary64)))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/48 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) (.f64 (-.f64 (fma.f64 (/.f64 eps x) #s(literal -1/48 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) #s(literal 1/36 binary64)) (*.f64 x x)))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) (*.f64 #s(literal -1/36 binary64) x))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/48 binary64)) #s(literal 1/36 binary64)) x))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x))) (.f64 x x)))
#s(approx (- (* (* eps x) 1/4) 1) (.f64 (.f64 #s(literal 1/4 binary64) eps) x))
#s(approx (- (* (* eps x) 1/4) 1) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (* -1/2 (cos x)) eps) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/120 binary64)))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (* 1/120 (* x x)) 1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(approx (- (* 1/120 (* x x)) 1/6) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (neg.f64 x) (*.f64 x x)) (fma.f64 (/.f64 eps x) #s(literal 1/48 binary64) #s(literal 1/36 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (neg.f64 x) (*.f64 x x)) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/48 binary64) eps (/.f64 #s(literal 1/6 binary64) x)) x)) #s(literal 1/36 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/48 binary64) eps (neg.f64 (/.f64 (-.f64 (.f64 #s(literal -1/24 binary64) (/.f64 eps x)) #s(literal 1/6 binary64)) x))) x)) #s(literal 1/36 binary64))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) (.f64 (.f64 x x) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) eps) (/.f64 #s(literal 1/6 binary64) x)) x)) #s(literal 1/36 binary64))))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal 1/48 binary64) #s(literal 1/36 binary64))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/4 binary64) eps (neg.f64 (/.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))
#s(approx (- (* (* eps x) 1/4) 1) (neg.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) eps) x #s(literal 1 binary64))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin 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 eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) eps))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (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)) eps) (.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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (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)))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) (+.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) eps) x (.f64 (*.f64 x x) #s(literal -1/36 binary64))) #s(literal 1/6 binary64)))
#s(approx (* -1/48 eps) (*.f64 #s(literal -1/48 binary64) eps))
#s(approx eps eps)
#s(approx (* 1/24 eps) (*.f64 #s(literal 1/24 binary64) 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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (neg.f64 x))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))
#s(approx (* -1/2 eps) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin 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 eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (neg eps) (neg.f64 eps))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 eps eps) eps)) (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 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps)) #s(literal 1/24 binary64)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (.f64 eps eps) eps) (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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 eps eps) eps)) (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 (*.f64 eps eps) eps)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (.f64 (.f64 eps eps) eps) (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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal 1/24 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) 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)))) (.f64 eps eps)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.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)) (.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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/24 binary64)) eps))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x) eps)) #s(literal 1/24 binary64)) eps))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) (.f64 (.f64 eps x) #s(literal -1/48 binary64)))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) (.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal -1/36 binary64) (fma.f64 #s(literal -1/48 binary64) x (/.f64 #s(literal 1/6 binary64) eps))) eps))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) (.f64 (-.f64 (.f64 (/.f64 x eps) #s(literal -1/36 binary64)) #s(literal 1/48 binary64)) eps))
#s(approx (- (cos eps) 1) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (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 (- (* (* -1/2 (cos x)) eps) (sin x)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (/.f64 (neg.f64 x) eps)) #s(literal 1/2 binary64)) eps))
#s(approx (- (* (* eps x) 1/4) 1) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)) eps))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal 1/24 binary64) (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))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/24 binary64) (cos.f64 x))) (.f64 (.f64 eps eps) eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/24 binary64) (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))) (.f64 (.f64 eps eps) eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (neg.f64 (.f64 (*.f64 eps eps) eps)) (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 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) eps)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (neg.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/24 binary64) (cos.f64 x))) (.f64 (.f64 eps eps) eps))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (neg.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/24 binary64) (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))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (fma.f64 (cos.f64 x) #s(literal 1/24 binary64) (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))) (*.f64 eps eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/24 binary64) (cos.f64 x)))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (neg.f64 eps) (-.f64 (.f64 #s(literal 1/48 binary64) (*.f64 x x)) #s(literal 1/24 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (neg.f64 eps) (-.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))))
#s(approx (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) (.f64 (neg.f64 eps) (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)))))
#s(approx (+ (* -1/36 x) (* -1/48 eps)) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal 1/36 binary64) #s(literal 1/48 binary64))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (neg.f64 eps) (+.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) (/.f64 x eps)) #s(literal 1/2 binary64))))
#s(approx (- (* (* eps x) 1/4) 1) (neg.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) x) eps #s(literal 1 binary64))))

eval47.0ms (0.5%)

Memory: -10.5MiB live, 79.6MiB allocated; 10ms collecting garbage
Compiler: Compiled 6 029 to 2 490 computations (58.7% saved)

prune23.0ms (0.3%)

Memory

2.8MiB live, 49.7MiB allocated; 3ms collecting garbage

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	352	13	365
Fresh	3	10	13
Picked	3	2	5
Done	0	2	2
Total	358	27	385

Accuracy

100.0%

Counts

385 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.1%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	54.1%	(-.f64 (.f64 #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))) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
✓	54.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	53.4%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (.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)) x) x #s(literal 1 binary64))))
	81.0%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
✓	81.2%	#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
	80.7%	#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin 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))))
▶	80.4%	#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
	80.6%	#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
	80.7%	#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (*.f64 #s(literal 1/6 binary64) eps)) (neg.f64 eps)) x)))
✓	52.9%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
	6.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.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 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))))) eps))
▶	99.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64)))) eps)) eps) (sin.f64 x)) eps))
	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64) (.f64 #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))) eps)) eps) (sin.f64 x)) eps))
	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64) (.f64 #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))) eps)) eps) (sin.f64 x)) eps))
✓	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) 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))) eps))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) 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))) eps))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (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))
	98.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
	98.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (/.f64 (neg.f64 x) eps)) #s(literal 1/2 binary64)) eps))) eps))
▶	80.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) eps))
▶	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))

Compiler

Compiled 1 224 to 1 135 computations (7.3% saved)

series51.0ms (0.6%)

Memory

9.0MiB live, 64.5MiB allocated; 24ms collecting garbage

Counts

54 → 266

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64)))) eps)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64)))) eps)) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64)))) eps)) eps) (sin.f64 x))
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64)))) eps)) eps)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64)))) eps))
(cos.f64 x)
x
#s(literal -1/2 binary64)
(.f64 #s(approx (+ ( (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64)))) eps)
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64))
(.f64 (.f64 x x) x)
(*.f64 x x)
#s(literal -1/36 binary64)
eps
(sin.f64 x)
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
(*.f64 (neg.f64 eps) #s(approx (sin x) x))
(neg.f64 eps)
#s(approx (sin x) x)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) eps))
(.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) eps)
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/4 binary64) eps)
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps))
(fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/6 binary64) eps)
#s(literal 1/6 binary64)
(.f64 (.f64 eps eps) #s(literal 1/4 binary64))
(*.f64 eps eps)
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (.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)) x) x #s(literal 1 binary64))))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (cos x) (fma.f64 (.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)) x) x #s(literal 1 binary64)))
(fma.f64 (.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)) x) x #s(literal 1 binary64))
(.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)) x)
(-.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 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #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 (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x)))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/48 (* (pow eps 2) x)) (* 1/6 eps))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (* (* (* x x) x) -1/36) #s(hole binary64 (* -1/36 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (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 (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) #s(hole binary64 (* -1 x)))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) #s(hole binary64 (* x (- (* 1/4 (* eps x)) 1))))
#s(approx (- (* 1/4 eps) (/ 1 x)) #s(hole binary64 (/ -1 x)))
#s(approx (- (* 1/4 eps) (/ 1 x)) #s(hole binary64 (/ (- (* 1/4 (* eps x)) 1) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (- (* 1/4 (* (pow eps 2) x)) eps)))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (- (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))) eps)))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) #s(hole binary64 (* 1/4 (pow eps 2))))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) #s(hole binary64 (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 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 (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* 1/24 x)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow x 2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1/36 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* (pow x 3) (- (* -1/48 (/ eps x)) 1/36))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* (pow x 3) (- (+ (* -1/48 (/ eps x)) (/ 1/6 (pow x 2))) 1/36))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* (pow x 3) (- (+ (* -1/48 (/ eps x)) (+ (* 1/24 (/ eps (pow x 3))) (/ 1/6 (pow x 2)))) 1/36))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* 1/4 (* eps (pow x 2)))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (* 1/4 eps) (/ 1 x)))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ 1 x)))))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) #s(hole binary64 (* 1/4 (* eps (pow x 2)))))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 1/4 eps) (/ 1 x)))))
#s(approx (- (* 1/4 eps) (/ 1 x)) #s(hole binary64 (* 1/4 eps)))
#s(approx (- (* 1/4 eps) (/ 1 x)) #s(hole binary64 (- (* 1/4 eps) (/ 1 x))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* 1/6 (* eps (pow x 3)))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 3) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 3) (- (+ (* -1/2 (/ (pow eps 2) (pow x 3))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))) (/ eps (pow x 2))))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* 1/6 (* eps (pow x 2)))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow x 2) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) #s(hole binary64 (* 1/6 (* eps x))))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) #s(hole binary64 (* x (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) 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 (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* -1/720 (pow x 6))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1/720 (pow x 5))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/36 (* 1/48 (/ eps x)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/36 (* -1 (/ (+ (* -1/48 eps) (* 1/6 (/ 1 x))) x)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/36 (* -1 (/ (+ (* -1 (/ (- (* -1/24 (/ eps x)) 1/6) x)) (* -1/48 eps)) x)))))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ eps x))) x)) (* 1/4 eps)))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) x))) x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps)))))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) #s(hole binary64 (* -1 (* x (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))))
#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 (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* x (+ 1/6 (* -1/36 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (+ (* eps (+ 1/24 (* -1/48 (pow x 2)))) (* x (+ 1/6 (* -1/36 (pow x 2)))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2)))))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) #s(hole binary64 (+ (* -1 x) (* 1/4 (* eps (pow x 2))))))
#s(approx (* 1/4 eps) #s(hole binary64 (* 1/4 eps)))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* eps (- (* 1/6 (pow x 2)) 1))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* eps (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1))))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) #s(hole binary64 (* eps (+ (* 1/6 x) (* 1/4 eps)))))
#s(approx (* 1/6 eps) #s(hole binary64 (* 1/6 eps)))
#s(approx (* (* eps eps) 1/4) #s(hole binary64 (* 1/4 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (* eps eps) -1/2) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos x)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #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)) eps) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #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)) #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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* eps (+ 1/24 (* -1/48 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* eps (+ 1/24 (+ (* -1/48 (pow x 2)) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2))))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) #s(hole binary64 (* eps (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))))))
#s(approx (- (* 1/4 eps) (/ 1 x)) #s(hole binary64 (* eps (- 1/4 (/ 1 (* eps x))))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* 1/4 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)) (/ 1 eps)))))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) #s(hole binary64 (* (pow eps 2) (+ 1/4 (* 1/6 (/ 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1 (* eps (- (* 1/48 (pow x 2)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1 (* eps (- (+ (* -1 (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/48 (pow x 2))) 1/24)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* -1/4 (pow x 2)))))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (+ (* -1/4 (pow x 2)) (/ x eps)))))))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) #s(hole binary64 (* -1 (* eps (+ (* -1/4 (pow x 2)) (/ x eps))))))
#s(approx (- (* 1/4 eps) (/ 1 x)) #s(hole binary64 (* -1 (* eps (- (/ 1 (* eps x)) 1/4)))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) eps)) (* 1/4 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
17.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (* (* (* x x) x) -1/36) (* (* x x) x) (* x x) -1/36 eps (sin x) (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (* (- (* 1/4 eps) (/ 1 x)) (* x x)) (- (* 1/4 eps) (/ 1 x)) (* 1/4 eps) 1/4 (/ 1 x) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) (* 1/6 eps) 1/6 (* (* eps eps) 1/4) (* eps eps) (* (* eps eps) -1/2) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 1/2)
7.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (* (* (* x x) x) -1/36) (* (* x x) x) (* x x) -1/36 eps (sin x) (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (* (- (* 1/4 eps) (/ 1 x)) (* x x)) (- (* 1/4 eps) (/ 1 x)) (* 1/4 eps) 1/4 (/ 1 x) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) (* 1/6 eps) 1/6 (* (* eps eps) 1/4) (* eps eps) (* (* eps eps) -1/2) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 1/2)
7.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (* (* (* x x) x) -1/36) (* (* x x) x) (* x x) -1/36 eps (sin x) (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (* (- (* 1/4 eps) (/ 1 x)) (* x x)) (- (* 1/4 eps) (/ 1 x)) (* 1/4 eps) 1/4 (/ 1 x) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) (* 1/6 eps) 1/6 (* (* eps eps) 1/4) (* eps eps) (* (* eps eps) -1/2) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 1/2)
6.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (* (* (* x x) x) -1/36) (* (* x x) x) (* x x) -1/36 eps (sin x) (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (* (- (* 1/4 eps) (/ 1 x)) (* x x)) (- (* 1/4 eps) (/ 1 x)) (* 1/4 eps) 1/4 (/ 1 x) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) (* 1/6 eps) 1/6 (* (* eps eps) 1/4) (* eps eps) (* (* eps eps) -1/2) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 1/2)
5.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (* (* (* x x) x) -1/36) (* (* x x) x) (* x x) -1/36 eps (sin x) (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (* (- (* 1/4 eps) (/ 1 x)) (* x x)) (- (* 1/4 eps) (/ 1 x)) (* 1/4 eps) 1/4 (/ 1 x) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) (* 1/6 eps) 1/6 (* (* eps eps) 1/4) (* eps eps) (* (* eps eps) -1/2) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 1/2)

rewrite176.0ms (2%)

Memory

23.3MiB live, 155.9MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	938	8038
0	994	7797
1	5188	7797
0	8042	7364

Stop Event

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

Counts

320 → 473

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64)))) eps)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64)))) eps)) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64)))) eps)) eps) (sin.f64 x))
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64)))) eps)) eps)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64)))) eps))
(cos.f64 x)
x
#s(literal -1/2 binary64)
(.f64 #s(approx (+ ( (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64)))) eps)
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64))
(.f64 (.f64 x x) x)
(*.f64 x x)
#s(literal -1/36 binary64)
eps
(sin.f64 x)
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
(*.f64 (neg.f64 eps) #s(approx (sin x) x))
(neg.f64 eps)
#s(approx (sin x) x)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) eps))
(.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) eps)
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
(.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/4 binary64) eps)
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps))
(fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/6 binary64) eps)
#s(literal 1/6 binary64)
(.f64 (.f64 eps eps) #s(literal 1/4 binary64))
(*.f64 eps eps)
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (.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)) x) x #s(literal 1 binary64))))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (cos x) (fma.f64 (.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)) x) x #s(literal 1 binary64)))
(fma.f64 (.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)) x) x #s(literal 1 binary64))
(.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)) x)
(-.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 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #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 (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x)))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/48 (* (pow eps 2) x)) (* 1/6 eps))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (* (* (* x x) x) -1/36) #s(hole binary64 (* -1/36 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (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 (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) #s(hole binary64 (* -1 x)))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) #s(hole binary64 (* x (- (* 1/4 (* eps x)) 1))))
#s(approx (- (* 1/4 eps) (/ 1 x)) #s(hole binary64 (/ -1 x)))
#s(approx (- (* 1/4 eps) (/ 1 x)) #s(hole binary64 (/ (- (* 1/4 (* eps x)) 1) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (- (* 1/4 (* (pow eps 2) x)) eps)))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (- (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))) eps)))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) #s(hole binary64 (* 1/4 (pow eps 2))))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) #s(hole binary64 (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 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 (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* 1/24 x)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow x 2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1/36 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* (pow x 3) (- (* -1/48 (/ eps x)) 1/36))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* (pow x 3) (- (+ (* -1/48 (/ eps x)) (/ 1/6 (pow x 2))) 1/36))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* (pow x 3) (- (+ (* -1/48 (/ eps x)) (+ (* 1/24 (/ eps (pow x 3))) (/ 1/6 (pow x 2)))) 1/36))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (- (* (cos eps) (cos x)) (+ (cos x) (* (sin eps) (sin x))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* 1/4 (* eps (pow x 2)))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (* 1/4 eps) (/ 1 x)))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ 1 x)))))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) #s(hole binary64 (* 1/4 (* eps (pow x 2)))))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 1/4 eps) (/ 1 x)))))
#s(approx (- (* 1/4 eps) (/ 1 x)) #s(hole binary64 (* 1/4 eps)))
#s(approx (- (* 1/4 eps) (/ 1 x)) #s(hole binary64 (- (* 1/4 eps) (/ 1 x))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* 1/6 (* eps (pow x 3)))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 3) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 3) (- (+ (* -1/2 (/ (pow eps 2) (pow x 3))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))) (/ eps (pow x 2))))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* 1/6 (* eps (pow x 2)))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow x 2) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) #s(hole binary64 (* 1/6 (* eps x))))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) #s(hole binary64 (* x (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) 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 (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* -1/720 (pow x 6))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1/720 (pow x 5))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/36 (* 1/48 (/ eps x)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/36 (* -1 (/ (+ (* -1/48 eps) (* 1/6 (/ 1 x))) x)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/36 (* -1 (/ (+ (* -1 (/ (- (* -1/24 (/ eps x)) 1/6) x)) (* -1/48 eps)) x)))))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ eps x))) x)) (* 1/4 eps)))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) x))) x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps)))))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) #s(hole binary64 (* -1 (* x (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))))
#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 (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* x (+ 1/6 (* -1/36 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (+ (* eps (+ 1/24 (* -1/48 (pow x 2)))) (* x (+ 1/6 (* -1/36 (pow x 2)))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2)))))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) #s(hole binary64 (+ (* -1 x) (* 1/4 (* eps (pow x 2))))))
#s(approx (* 1/4 eps) #s(hole binary64 (* 1/4 eps)))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* eps (- (* 1/6 (pow x 2)) 1))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* eps (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1))))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) #s(hole binary64 (* eps (+ (* 1/6 x) (* 1/4 eps)))))
#s(approx (* 1/6 eps) #s(hole binary64 (* 1/6 eps)))
#s(approx (* (* eps eps) 1/4) #s(hole binary64 (* 1/4 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (* eps eps) -1/2) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos x)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #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)) eps) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #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)) #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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* eps (+ 1/24 (* -1/48 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* eps (+ 1/24 (+ (* -1/48 (pow x 2)) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2))))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) #s(hole binary64 (* eps (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))))))
#s(approx (- (* 1/4 eps) (/ 1 x)) #s(hole binary64 (* eps (- 1/4 (/ 1 (* eps x))))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* 1/4 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)) (/ 1 eps)))))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) #s(hole binary64 (* (pow eps 2) (+ 1/4 (* 1/6 (/ 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1 (* eps (- (* 1/48 (pow x 2)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) #s(hole binary64 (* -1 (* eps (- (+ (* -1 (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/48 (pow x 2))) 1/24)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* -1/4 (pow x 2)))))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (+ (* -1/4 (pow x 2)) (/ x eps)))))))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) #s(hole binary64 (* -1 (* eps (+ (* -1/4 (pow x 2)) (/ x eps))))))
#s(approx (- (* 1/4 eps) (/ 1 x)) #s(hole binary64 (* -1 (* eps (- (/ 1 (* eps x)) 1/4)))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) eps)) (* 1/4 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
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#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (fma.f64 x (-.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)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #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) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x) eps (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #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)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) eps) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/36 binary64) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) (.f64 (*.f64 eps x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) (.f64 (.f64 eps x) #s(literal -1/36 binary64))) #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 (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 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) (.f64 (*.f64 eps x) #s(literal 1/6 binary64))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/48 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) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) (.f64 (.f64 eps x) #s(literal -1/36 binary64))) x (.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)) (*.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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (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 (* (* (* x x) x) -1/36) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64)))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#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 eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (fma.f64 x (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (fma.f64 x (-.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)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (*.f64 #s(literal 1/6 binary64) eps)) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.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 (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) (neg.f64 x))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)) x))
#s(approx (- (* 1/4 eps) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (* 1/4 eps) (/ 1 x)) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x)))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (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 (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.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 (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) (neg.f64 eps))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) (-.f64 (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/4 binary64)) eps))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) (-.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) x) eps))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) (.f64 (.f64 eps eps) #s(literal 1/4 binary64)))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.f64 (*.f64 eps eps) #s(literal 1/4 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 x (-.f64 (.f64 (.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (cos (+ x eps)) (fma.f64 x (-.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)) (cos.f64 eps)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) x))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* x x)) 1/24) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (.f64 (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/48 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (-.f64 (fma.f64 (/.f64 eps x) #s(literal -1/48 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) #s(literal 1/36 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (-.f64 (fma.f64 (/.f64 eps x) #s(literal -1/48 binary64) (fma.f64 (/.f64 eps (.f64 (.f64 x x) x)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) #s(literal 1/36 binary64)) (.f64 (.f64 x x) x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x))) (.f64 x x)))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
#s(approx (- (* 1/4 eps) (/ 1 x)) (*.f64 #s(literal 1/4 binary64) eps))
#s(approx (- (* 1/4 eps) (/ 1 x)) (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 (.f64 x x) x) eps) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) eps)) (/.f64 (neg.f64 eps) (.f64 x x))) (.f64 (.f64 x x) x)))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 x x) x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) eps))) (/.f64 eps (.f64 x x))) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) eps)) (.f64 x x)))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) (.f64 (.f64 x x) (+.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) eps)) (/.f64 (neg.f64 eps) (*.f64 x x)))))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) (.f64 (.f64 eps x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) eps)) 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 (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/720 binary64)))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/720 binary64)))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/720 binary64)))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/720 binary64)))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/720 binary64)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* -1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* x x)) 1/24) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (*.f64 x x)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (fma.f64 #s(literal 1/48 binary64) (/.f64 eps x) #s(literal 1/36 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/48 binary64) eps (/.f64 #s(literal 1/6 binary64) x)) x)) #s(literal 1/36 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/48 binary64) eps (neg.f64 (/.f64 (-.f64 (.f64 #s(literal -1/24 binary64) (/.f64 eps x)) #s(literal 1/6 binary64)) x))) x)) #s(literal 1/36 binary64))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/4 binary64) eps (neg.f64 (/.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 eps eps) x) (*.f64 #s(literal -1/6 binary64) eps))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (fma.f64 #s(literal -1/6 binary64) eps (neg.f64 (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/4 binary64) (/.f64 (neg.f64 eps) x)) x)))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (fma.f64 #s(literal -1/6 binary64) eps (neg.f64 (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/4 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64) eps) x))) x)))))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 eps eps) (/.f64 eps x)) x))) (*.f64 x x)))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 eps eps) x) (*.f64 #s(literal -1/6 binary64) eps))))
#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 (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (neg.f64 (.f64 (+.f64 #s(literal 1/720 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin 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 eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (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)) eps) (.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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (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)))
#s(approx eps eps)
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin 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 eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (neg eps) (neg.f64 eps))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (- (* (* -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 (- (* (* -1/2 (cos x)) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (neg.f64 x))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) (fma.f64 (.f64 #s(literal 1/4 binary64) eps) (.f64 x x) (neg.f64 x)))
#s(approx (* 1/4 eps) (*.f64 #s(literal 1/4 binary64) eps))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps)) eps))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) (.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x (.f64 (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) eps))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) eps))
#s(approx (* 1/6 eps) (*.f64 #s(literal 1/6 binary64) eps))
#s(approx (* (* eps eps) 1/4) (.f64 (.f64 eps eps) #s(literal 1/4 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (* (* eps eps) -1/2) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#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 eps (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) (cos.f64 x)))
#s(approx (cos (+ x eps)) (fma.f64 eps (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 eps eps) eps)) (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 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps)) #s(literal 1/24 binary64)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (.f64 eps eps) eps) (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 (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 eps eps) eps)) (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 (*.f64 eps eps) eps)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (.f64 (.f64 eps eps) eps) (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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal 1/24 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) 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)))) (.f64 eps eps)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.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)) (.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 (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/24 binary64)) eps))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x) eps)) #s(literal 1/24 binary64)) eps))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (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 (- (* (* -1/2 (cos x)) eps) (sin x)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (/.f64 (neg.f64 x) eps)) #s(literal 1/2 binary64)) eps))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (/.f64 (neg.f64 x) eps)) eps))
#s(approx (- (* 1/4 eps) (/ 1 x)) (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps x))) eps))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps)) #s(literal 1/2 binary64)) (.f64 eps eps)))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/4 binary64)))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) x)) (/.f64 #s(literal 1 binary64) eps)) (.f64 eps eps)))
#s(approx (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) (.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/4 binary64)) (.f64 eps eps)))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal 1/24 binary64) (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))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) 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))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/24 binary64) (cos.f64 x))) (.f64 (.f64 eps eps) eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/24 binary64) (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))) (.f64 (.f64 eps eps) eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (*.f64 eps eps) (neg.f64 eps)) (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 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) eps)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (neg.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/24 binary64) (cos.f64 x))) (.f64 (.f64 eps eps) eps))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (neg.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/24 binary64) (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))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (fma.f64 (cos.f64 x) #s(literal 1/24 binary64) (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))) (*.f64 eps eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/24 binary64) (cos.f64 x)))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (neg.f64 eps) (-.f64 (.f64 #s(literal 1/48 binary64) (*.f64 x x)) #s(literal 1/24 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (neg.f64 eps) (-.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))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (neg.f64 eps) (+.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) (/.f64 x eps)) #s(literal 1/2 binary64))))
#s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) (/.f64 x eps))))
#s(approx (- (* 1/4 eps) (/ 1 x)) (.f64 (neg.f64 eps) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps x)) #s(literal 1/4 binary64))))
#s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x) eps))) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/4 binary64) x (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) eps))) (*.f64 eps eps)))
#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))))

eval58.0ms (0.7%)

Memory: 5.9MiB live, 57.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 7 289 to 2 879 computations (60.5% saved)

prune32.0ms (0.4%)

Memory

2.3MiB live, 47.8MiB allocated; 4ms collecting garbage

Pruning

31 alts after pruning (24 fresh and 7 done)

	Pruned	Kept	Total
New	440	6	446
Fresh	0	18	18
Picked	2	3	5
Done	0	4	4
Total	442	31	473

Accuracy

100.0%

Counts

473 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.1%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	54.1%	(-.f64 (.f64 #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))) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
✓	54.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	53.4%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (.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)) x) x #s(literal 1 binary64))))
	81.0%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
✓	81.2%	#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
	80.7%	#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin 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))))
✓	80.4%	#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
	80.6%	#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
	80.7%	#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (*.f64 #s(literal 1/6 binary64) eps)) (neg.f64 eps)) x)))
✓	52.9%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
	6.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.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 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))))) eps))
✓	99.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64)))) eps)) eps) (sin.f64 x)) eps))
	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64) (.f64 #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))) eps)) eps) (sin.f64 x)) eps))
	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64) (.f64 #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))) eps)) eps) (sin.f64 x)) eps))
✓	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) 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))) eps))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) 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))) eps))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (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))
	98.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
	98.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (/.f64 (neg.f64 x) eps)) #s(literal 1/2 binary64)) eps))) eps))
	80.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 #s(approx (- ( 1/4 eps) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))) eps))
	80.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (/.f64 (neg.f64 x) eps)) eps)))) eps))
	80.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)) x)))) eps))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
	80.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))

Compiler

Compiled 1 366 to 1 097 computations (19.7% saved)

regimes33.0ms (0.4%)

Memory

4.3MiB live, 47.8MiB allocated; 5ms collecting garbage

Counts

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

Calls

3 calls:

14.0ms	eps
10.0ms	x
7.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes33.0ms (0.4%)

Memory

-46.0MiB live, 54.0MiB allocated; 9ms collecting garbage

Counts

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

Outputs

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

Calls

3 calls:

12.0ms	eps
9.0ms	x
6.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes25.0ms (0.3%)

Memory

37.3MiB live, 37.3MiB 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 eps) (cos x)) (+ (* (sin x) (sin 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 (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 #s(approx (- ( 1/4 eps) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (.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 (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)) x)))) eps))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (/.f64 (neg.f64 x) eps)) eps)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (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 (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (/.f64 (neg.f64 x) eps)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps eps)) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (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 eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (*.f64 #s(literal 1/6 binary64) eps)) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) 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))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.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 eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) 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))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #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))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (.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)) x) x #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) 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))) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (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 (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64) (.f64 #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))) eps)) eps) (sin.f64 x)) eps))
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(approx (+ (* (+ (* (+ (* -1/36 x) (* -1/48 eps)) x) 1/6) x) (* 1/24 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/36 binary64)))) eps)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64) (.f64 #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))) eps)) eps) (sin.f64 x)) eps))

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:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes25.0ms (0.3%)

Memory

-7.5MiB live, 36.1MiB allocated; 4ms collecting garbage

Counts

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

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

Calls

3 calls:

11.0ms	eps
8.0ms	x
5.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes21.0ms (0.2%)

Memory

-12.5MiB live, 33.7MiB allocated; 2ms collecting garbage

Counts

28 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes18.0ms (0.2%)

Memory

34.0MiB live, 34.0MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Calls

3 calls:

6.0ms	eps
6.0ms	x
4.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes21.0ms (0.2%)

Memory

-11.8MiB live, 34.2MiB allocated; 4ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

9.0ms	eps
6.0ms	x
4.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes18.0ms (0.2%)

Memory

-22.9MiB live, 27.4MiB allocated; 5ms 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 eps) (cos x)) (+ (* (sin x) (sin 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 (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 #s(approx (- ( 1/4 eps) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (.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 (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64)) x)))) eps))
#s(approx (- (* (cos eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) #s(approx (* (- (* 1/4 eps) (/ 1 x)) (* x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (/.f64 (neg.f64 x) eps)) eps)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (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 (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (* eps x) 1/4) 1) x) (* -1/2 eps)) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (/.f64 (neg.f64 x) eps)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (+ (* (* 1/6 eps) x) (* (* eps eps) 1/4)) x) (neg eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps eps)) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (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 eps) (cos x)) (+ (* (sin x) (sin eps)) (cos x))) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (*.f64 #s(literal 1/6 binary64) eps)) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) 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))) eps))

Outputs

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

Calls

3 calls:

8.0ms	x
5.0ms	eps
3.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes13.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Calls

3 calls:

5.0ms	eps
5.0ms	x
3.0ms	(-.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 8 to 10 computations (-25% saved)

regimes12.0ms (0.1%)

Memory

-29.1MiB live, 18.0MiB allocated; 2ms collecting garbage

Counts

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (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
98.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.1%	1	`x`
98.1%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB 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 eps) (cos x)) (+ (* (sin x) (sin 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 (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))

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

Calls

3 calls:

2.0ms	x
2.0ms	eps
1.0ms	(-.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 8 to 10 computations (-25% saved)

regimes4.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Counts

3 → 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 eps) (cos x)) (+ (* (sin x) (sin 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))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
80.4%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
80.4%	1	`x`
80.4%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes3.0ms (0%)

Memory

6.6MiB live, 6.6MiB 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	x
1.0ms	eps
1.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
52.9%	1	`x`
52.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
52.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations370.0ms (4.2%)

Memory

10.1MiB live, 284.6MiB allocated; 30ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 189 to 125 computations (33.9% saved)

preprocess103.0ms (1.2%)

Memory: -11.8MiB live, 226.2MiB allocated; 26ms collecting garbage
Compiler: Compiled 223 to 156 computations (30% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze29.0ms (0.3%)

sample6.8s (78.1%)

preprocess90.0ms (1%)

series5.0ms (0.1%)

rewrite170.0ms (1.9%)

eval10.0ms (0.1%)

prune8.0ms (0.1%)

series34.0ms (0.4%)

rewrite169.0ms (1.9%)

eval61.0ms (0.7%)

prune24.0ms (0.3%)

series46.0ms (0.5%)

rewrite180.0ms (2.1%)

eval47.0ms (0.5%)

prune23.0ms (0.3%)

series51.0ms (0.6%)

rewrite176.0ms (2%)

eval58.0ms (0.7%)

prune32.0ms (0.4%)

regimes33.0ms (0.4%)

regimes33.0ms (0.4%)

regimes25.0ms (0.3%)

regimes25.0ms (0.3%)

regimes21.0ms (0.2%)

regimes18.0ms (0.2%)

regimes21.0ms (0.2%)

regimes18.0ms (0.2%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

derivations370.0ms (4.2%)

preprocess103.0ms (1.2%)

end0.0ms (0%)

Profiling