Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

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

analyze29.0ms (0.4%)

Memory

40.0MiB live, 40.0MiB 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)

sample6.0s (73.4%)

Memory

52.6MiB live, 5 264.2MiB allocated; 2.1s collecting garbage

Samples

2.1s	5 803×	2	valid
2.1s	26 062×	0	invalid
303.0ms	2 398×	1	valid
5.0ms	55×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.5s

ival-cos: 2.0s (55.9% of total)

ival-fabs: 481.0ms (13.7% of total)

adjust: 374.0ms (10.6% of total)

ival-add!: 202.0ms (5.7% of total)

ival-mult!: 172.0ms (4.9% of total)

ival-<: 137.0ms (3.9% of total)

ival-sub!: 114.0ms (3.2% of total)

ival-and: 60.0ms (1.7% of total)

ival-assert: 13.0ms (0.4% of total)

Bogosity

preprocess38.0ms (0.5%)

Memory

13.2MiB live, 13.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	71	42
2	158	42
3	353	42
4	978	42
5	2989	42
6	6636	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB 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))

rewrite149.0ms (1.8%)

Memory

-6.4MiB live, 94.3MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	544
0	153	524
1	957	521
0	8609	496

Stop Event

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

Counts

42 → 122

Calls

Call 1

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

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

eval11.0ms (0.1%)

Memory: 12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 265 to 456 computations (64% saved)

prune10.0ms (0.1%)

Memory

-36.0MiB live, 10.2MiB allocated; 2ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	101	12	113
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	13	114

Accuracy

99.8%

Counts

114 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.0%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))
	51.0%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
	51.0%	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
✓	51.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	50.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
▶	50.2%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	79.8%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
▶	51.8%	(.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)))))
▶	49.7%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
	99.4%	#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))
▶	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) (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))
▶	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	79.3%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Compiler

Compiled 346 to 312 computations (9.8% saved)

series47.0ms (0.6%)

Memory

7.2MiB live, 49.7MiB allocated; 8ms collecting garbage

Counts

45 → 241

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) (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))
(.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) (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)
(-.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) (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))
(.f64 (fma.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(fma.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
eps
(fma.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/24 binary64) (cos.f64 x))
#s(literal 1/24 binary64)
(cos.f64 x)
x
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(sin.f64 x)
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
#s(literal 1 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps)
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x))
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(*.f64 (cos.f64 x) eps)
(.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)))))
#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))))
(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)))
(/.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 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 eps x)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(+.f64 x (/.f64 (PI.f64) #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 (+.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 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 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 (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2)))))))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (* 1/24 (cos x)) #s(hole binary64 1/24))
#s(approx (* 1/24 (cos x)) #s(hole binary64 (+ 1/24 (* -1/48 (pow x 2)))))
#s(approx (* 1/24 (cos x)) #s(hole binary64 (+ 1/24 (* (pow x 2) (- (* 1/576 (pow x 2)) 1/48)))))
#s(approx (* 1/24 (cos x)) #s(hole binary64 (+ 1/24 (* (pow x 2) (- (* (pow x 2) (+ 1/576 (* -1/17280 (pow x 2)))) 1/48)))))
#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) #s(hole binary64 (* 1/6 x)))
#s(approx (* (sin x) 1/6) #s(hole binary64 (* x (+ 1/6 (* -1/36 (pow x 2))))))
#s(approx (* (sin x) 1/6) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/36))))))
#s(approx (* (sin x) 1/6) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2)))) 1/36))))))
#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)) #s(hole binary64 -1/2))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (cos (+ x 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 x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (+ (* -2 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/3 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (+ (* -1 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1/2 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1/2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/6 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 eps))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (+ eps (* 1/2 (PI)))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (+ eps (+ x (* 1/2 (PI))))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (PI))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* -1 (* x (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* -1/2 (* x (cos (* 1/2 (+ eps (PI)))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* x (+ (* -1/2 (cos (* 1/2 (+ eps (PI))))) (* 1/6 (* x (sin (* 1/2 (+ eps (PI)))))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* 1/2 (+ eps (PI)))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (+ x (* 1/2 (+ eps (PI))))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (+ eps (+ (PI) (* 2 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))
#s(approx (* 1/24 (cos x)) #s(hole binary64 (* 1/24 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (sin x) 1/6) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps)))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 x))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 x))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (+ (PI) (* 2 x)))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ eps (PI)) x))))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (* x (+ 2 (+ (/ eps x) (/ (PI) x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (cos (* 1/2 (- (+ eps (PI)) (* -2 x))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (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) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* 2 (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* 1/24 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 2 (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* 1/2 (* eps (cos (* 1/2 (+ (PI) (* 2 x))))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (+ (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (cos (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* -1/8 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* eps (+ (* -1/8 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* 1/2 (+ (PI) (* 2 x)))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (+ (* 1/2 eps) (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (+ (PI) (* 2 x))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* 1/24 (* eps (cos x)))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #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 (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 eps))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* eps (+ 1/2 (* 1/2 (/ (+ (PI) (* 2 x)) eps))))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 eps))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (* eps (+ 1 (+ (* 2 (/ x eps)) (/ (PI) eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #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 (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* -1 (* eps (- (* -1/2 (/ (+ (PI) (* 2 x)) eps)) 1/2)))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (PI) (* 2 x)) eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (* 1/24 (cos x)) 1/24 (cos x) x (* (sin x) 1/6) (sin x) 1/6 (* -1/2 (cos x)) -1/2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (+ (+ eps x) (/ (PI) 2)) (+ eps x) (/ (PI) 2) (PI) (+ x (/ (PI) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))))
8.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (* 1/24 (cos x)) 1/24 (cos x) x (* (sin x) 1/6) (sin x) 1/6 (* -1/2 (cos x)) -1/2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (+ (+ eps x) (/ (PI) 2)) (+ eps x) (/ (PI) 2) (PI) (+ x (/ (PI) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))))
7.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (* 1/24 (cos x)) 1/24 (cos x) x (* (sin x) 1/6) (sin x) 1/6 (* -1/2 (cos x)) -1/2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (+ (+ eps x) (/ (PI) 2)) (+ eps x) (/ (PI) 2) (PI) (+ x (/ (PI) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))))
6.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (* 1/24 (cos x)) 1/24 (cos x) x (* (sin x) 1/6) (sin x) 1/6 (* -1/2 (cos x)) -1/2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (+ (+ eps x) (/ (PI) 2)) (+ eps x) (/ (PI) 2) (PI) (+ x (/ (PI) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))))
5.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (* 1/24 (cos x)) 1/24 (cos x) x (* (sin x) 1/6) (sin x) 1/6 (* -1/2 (cos x)) -1/2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (+ (+ eps x) (/ (PI) 2)) (+ eps x) (/ (PI) 2) (PI) (+ x (/ (PI) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))))

rewrite265.0ms (3.3%)

Memory

0.2MiB live, 138.5MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	932	7106
0	1003	6627
1	5640	6627
0	8364	6349

Stop Event

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

Counts

286 → 475

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) (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))
(.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) (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)
(-.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) (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))
(.f64 (fma.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(fma.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
eps
(fma.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/24 binary64) (cos.f64 x))
#s(literal 1/24 binary64)
(cos.f64 x)
x
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(sin.f64 x)
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
#s(literal 1 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps)
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x))
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(*.f64 (cos.f64 x) eps)
(.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)))))
#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))))
(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)))
(/.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 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 eps x)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(+.f64 x (/.f64 (PI.f64) #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 (+.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 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 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 (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
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#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
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#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
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#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
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#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (* 1/24 (cos x)) #s(hole binary64 1/24))
#s(approx (* 1/24 (cos x)) #s(hole binary64 (+ 1/24 (* -1/48 (pow x 2)))))
#s(approx (* 1/24 (cos x)) #s(hole binary64 (+ 1/24 (* (pow x 2) (- (* 1/576 (pow x 2)) 1/48)))))
#s(approx (* 1/24 (cos x)) #s(hole binary64 (+ 1/24 (* (pow x 2) (- (* (pow x 2) (+ 1/576 (* -1/17280 (pow x 2)))) 1/48)))))
#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) #s(hole binary64 (* 1/6 x)))
#s(approx (* (sin x) 1/6) #s(hole binary64 (* x (+ 1/6 (* -1/36 (pow x 2))))))
#s(approx (* (sin x) 1/6) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/36))))))
#s(approx (* (sin x) 1/6) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2)))) 1/36))))))
#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)) #s(hole binary64 -1/2))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (cos (+ x 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 x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (+ (* -2 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/3 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (+ (* -1 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1/2 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1/2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/6 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 eps))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (+ eps (* 1/2 (PI)))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (+ eps (+ x (* 1/2 (PI))))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (PI))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* -1 (* x (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* -1/2 (* x (cos (* 1/2 (+ eps (PI)))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* x (+ (* -1/2 (cos (* 1/2 (+ eps (PI))))) (* 1/6 (* x (sin (* 1/2 (+ eps (PI)))))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* 1/2 (+ eps (PI)))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (+ x (* 1/2 (+ eps (PI))))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (+ eps (+ (PI) (* 2 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))
#s(approx (* 1/24 (cos x)) #s(hole binary64 (* 1/24 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (sin x) 1/6) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps)))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 x))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 x))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (+ (PI) (* 2 x)))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ eps (PI)) x))))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (* x (+ 2 (+ (/ eps x) (/ (PI) x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (cos (* 1/2 (- (+ eps (PI)) (* -2 x))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (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) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* 2 (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* 1/24 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 2 (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* 1/2 (* eps (cos (* 1/2 (+ (PI) (* 2 x))))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (+ (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (cos (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* -1/8 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* eps (+ (* -1/8 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* 1/2 (+ (PI) (* 2 x)))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (+ (* 1/2 eps) (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (+ (PI) (* 2 x))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* 1/24 (* eps (cos x)))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #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 (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 eps))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* eps (+ 1/2 (* 1/2 (/ (+ (PI) (* 2 x)) eps))))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 eps))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (* eps (+ 1 (+ (* 2 (/ x eps)) (/ (PI) eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #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 (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* -1 (* eps (- (* -1/2 (/ (+ (PI) (* 2 x)) eps)) 1/2)))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (PI) (* 2 x)) eps)) 1)))))

Outputs
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.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))
(.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)
(.f64 eps (-.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)))
(fma.f64 (neg.f64 (sin.f64 x)) eps (.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) eps))
(fma.f64 eps (neg.f64 (sin.f64 x)) (.f64 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)))
(+.f64 (.f64 (neg.f64 (sin.f64 x)) eps) (.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) eps))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 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)))
(/.f64 (-.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) (.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)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 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))) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 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) (.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))) (-.f64 (neg.f64 (sin.f64 x)) (.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)))
(/.f64 (-.f64 (pow.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) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.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) (.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) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x 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)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64)) (pow.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) #s(literal 3 binary64))) (fma.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 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) (.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)) (.f64 (neg.f64 (sin.f64 x)) (.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 (-.f64 (sin.f64 x) (.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)))
(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)))
(fma.f64 (sin.f64 x) #s(literal -1 binary64) (.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))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) (.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))
(fma.f64 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))) (neg.f64 (sin.f64 x)))
(-.f64 (neg.f64 (sin.f64 x)) (.f64 (neg.f64 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)))))
(-.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))
(+.f64 (neg.f64 (sin.f64 x)) (.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))
(+.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) (neg.f64 (sin.f64 x)))
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x
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(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
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(-.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(+.f64 (/.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (-.f64 (-.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))
(+.f64 (+.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 (+.f64 eps x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (-.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 (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (-.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 (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 eps eps)))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (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 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/36 binary64) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) (-.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (.f64 eps x) #s(literal -1/36 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (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 (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (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 (* 1/24 (cos x)) #s(literal 1/24 binary64))
#s(approx (* 1/24 (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/24 binary64)))
#s(approx (* 1/24 (cos x)) (fma.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 x x) #s(literal -1/48 binary64)) (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (* 1/24 (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/17280 binary64) (.f64 x x) #s(literal 1/576 binary64)) (.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/24 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 (fma.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 (fma.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) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* (sin x) 1/6) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x))
#s(approx (* (sin x) 1/6) (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (* (sin x) 1/6) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/36 binary64)) (.f64 x x) #s(literal 1/6 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 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (fma.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)) #s(literal -1/2 binary64))
#s(approx (* -1/2 (cos x)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
#s(approx (* -1/2 (cos x)) (fma.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)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (.f64 x x) #s(literal -1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (cos (+ x 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 (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (+ (* (* x x) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/2) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (.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) -1/2) (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) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (.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 (* (* (cos x) eps) -1/2) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/1440 binary64) (.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 (* (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 (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (neg.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))) x (.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))) x (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (fma.f64 (neg.f64 x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (neg.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) eps)
#s(approx (+ (+ eps x) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))
#s(approx (+ (+ eps x) (/ (PI) 2)) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (+ x (/ (PI) 2)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (fma.f64 (neg.f64 x) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (fma.f64 x (-.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64)) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (fma.f64 (-.f64 (.f64 (fma.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))) x) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) x (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (+.f64 (PI.f64) eps))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) (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 (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))))
#s(approx (* 1/24 (cos x)) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (sin x) 1/6) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (* (cos x) eps) -1/2) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (.f64 (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (+ eps x) (/ (PI) 2)) x)
#s(approx (+ (+ eps x) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) x) #s(literal 1 binary64)) x))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (+ x (/ (PI) 2)) x)
#s(approx (+ x (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) x)
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (*.f64 (fma.f64 (/.f64 (+.f64 (PI.f64) eps) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (+.f64 x x))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (*.f64 (+.f64 (/.f64 (+.f64 (PI.f64) eps) x) #s(literal 2 binary64)) x))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (-.f64 (cos.f64 (-.f64 (neg.f64 x) eps)) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 (neg.f64 x) eps)))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (.f64 (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (+ eps x) (/ (PI) 2)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) x)) #s(literal 1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (+ x (/ (PI) 2)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 (PI.f64) eps) x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (+.f64 (PI.f64) eps) x)) #s(literal 2 binary64))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.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 (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx eps eps)
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
#s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (- (cos eps) 1) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (fma.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 (fma.f64 (fma.f64 (fma.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 (fma.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 (fma.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 (cos.f64 x) eps) #s(literal -1/2 binary64)) (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) eps) -1/2) (sin x)) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
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#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (neg.f64 (sin.f64 x)))
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#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) eps) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64)) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) eps (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))) eps))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (fma.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64)) #s(literal 2 binary64) (.f64 (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) eps (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))) eps))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (.f64 (.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps) #s(literal 1/2 binary64)))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) eps) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) eps))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64)) eps (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) eps (.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) eps))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (.f64 (fma.f64 (fma.f64 eps (fma.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64) (.f64 (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps) #s(literal 1/48 binary64))) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) eps (.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) eps))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps) #s(literal -1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (+ (+ eps x) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (fma.f64 (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps) #s(literal -1/2 binary64) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (fma.f64 eps (fma.f64 (.f64 #s(literal -1/8 binary64) eps) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (fma.f64 (fma.f64 eps (fma.f64 (.f64 #s(literal 1/48 binary64) eps) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64))) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) eps (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64)))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (fma.f64 #s(literal 2 binary64) x (PI.f64)))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps)) #s(literal 1/24 binary64)))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal 1/24 binary64)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 eps eps)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) (.f64 (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (.f64 eps eps)))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (.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 (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
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#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (.f64 eps eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))
#s(approx (+ (+ eps x) (/ (PI) 2)) eps)
#s(approx (+ (+ eps x) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps) #s(literal 1 binary64)) eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) eps)
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#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (-.f64 (cos.f64 (-.f64 (neg.f64 eps) x)) (cos.f64 x)))
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#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
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#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) (.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 (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (.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 (neg.f64 eps) x)))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (.f64 (cos.f64 (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (.f64 (cos.f64 (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (+ eps x) (/ (PI) 2)) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) #s(literal 1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps)) #s(literal 1 binary64))))

eval57.0ms (0.7%)

Memory: 33.3MiB live, 76.0MiB allocated; 8ms collecting garbage
Compiler: Compiled 8 115 to 2 717 computations (66.5% saved)

prune38.0ms (0.5%)

Memory

-13.2MiB live, 44.2MiB allocated; 9ms collecting garbage

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	486	19	505
Fresh	1	6	7
Picked	4	1	5
Done	0	1	1
Total	491	27	518

Accuracy

100.0%

Counts

518 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.0%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))
	51.0%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
	51.0%	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
✓	51.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	50.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
	79.8%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
▶	13.1%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
	13.1%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (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)))))
	12.8%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (*.f64 #s(literal 1/2 binary64) eps)) (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)))))
▶	49.6%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
▶	99.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
✓	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	79.3%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (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 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
	37.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) eps))) (.f64 (*.f64 eps eps) eps)))) eps))
▶	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.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))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
	51.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps)))))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (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)))))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (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)))))
	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	11.7%	#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))

Compiler

Compiled 1 220 to 1 098 computations (10% saved)

series41.0ms (0.5%)

Memory

-2.2MiB live, 44.5MiB allocated; 3ms collecting garbage

Counts

56 → 290

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (fma.f64 eps #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))
(.f64 (fma.f64 eps #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
eps
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps))
#s(literal 1/6 binary64)
x
(*.f64 #s(literal 1/24 binary64) eps)
#s(literal 1/24 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
(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 (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.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))
(.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps)
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.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)))
(fma.f64 (fma.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))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64))
(fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal -1 binary64)
(*.f64 #s(literal -1/2 binary64) eps)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (fma.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 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
#s(literal 2 binary64)
(.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)
(fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64))
#s(literal 1/3840 binary64)
(*.f64 eps eps)
#s(literal -1/48 binary64)
#s(literal 1/2 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 (+.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 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 eps x)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(+.f64 x (/.f64 (PI.f64) #s(literal 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 (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2)))))))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (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) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 -1))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (- (* 1/4 (* eps x)) 1)))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))
#s(approx (+ (* 1/4 eps) (* 1/6 x)) #s(hole binary64 (* 1/4 eps)))
#s(approx (+ (* 1/4 eps) (* 1/6 x)) #s(hole binary64 (+ (* 1/6 x) (* 1/4 eps))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (+ (* -2 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/3 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (+ (* -1 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1/2 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1/2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/6 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (PI))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* -1 (* x (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* -1/2 (* x (cos (* 1/2 (+ eps (PI)))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* x (+ (* -1/2 (cos (* 1/2 (+ eps (PI))))) (* 1/6 (* x (sin (* 1/2 (+ eps (PI)))))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* 1/2 (+ eps (PI)))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (+ x (* 1/2 (+ eps (PI))))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (+ eps (+ (PI) (* 2 x)))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (+ eps (* 1/2 (PI)))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (+ eps (+ x (* 1/2 (PI))))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) #s(hole binary64 (* x (+ 1/6 (* 1/24 (/ eps x))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/4 (/ eps x))))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (+ (* -1/2 (/ eps (pow x 3))) (* 1/4 (/ eps x)))) (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/4 (/ eps x))))))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (* (pow x 2) (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))))
#s(approx (+ (* 1/4 eps) (* 1/6 x)) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/4 eps) (* 1/6 x)) #s(hole binary64 (* x (+ 1/6 (* 1/4 (/ eps 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 (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (+ (PI) (* 2 x)))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ eps (PI)) x))))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (* x (+ 2 (+ (/ eps x) (/ (PI) x))))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 x))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 x))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) #s(hole binary64 (* -1 (* x (- (* -1/24 (/ eps x)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1/4 (/ eps x)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/4 eps) (/ 1 x)) x)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (/ eps x))) x)) (* 1/4 eps)) x)) 1/6)))))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1 (/ (+ (* -1/4 eps) (/ 1 x)) x))))))
#s(approx (+ (* 1/4 eps) (* 1/6 x)) #s(hole binary64 (* -1 (* x (- (* -1/4 (/ eps x)) 1/6)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (cos (* 1/2 (- (+ eps (PI)) (* -2 x))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 2)))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* 1/6 (sin x))))
#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 (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* x (- (* 1/6 (pow x 2)) 1))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (- (* 1/6 (pow x 2)) 1)))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1)))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos x)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* 2 (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* 1/24 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 2 (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* 1/2 (* eps (cos (* 1/2 (+ (PI) (* 2 x))))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (+ (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
#s(approx (+ (* 1/3840 (* eps eps)) -1/48) #s(hole binary64 -1/48))
#s(approx (+ (* 1/3840 (* eps eps)) -1/48) #s(hole binary64 (- (* 1/3840 (pow eps 2)) 1/48)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (cos (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* -1/8 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* eps (+ (* -1/8 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* 1/2 (+ (PI) (* 2 x)))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (+ (* 1/2 eps) (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (+ (PI) (* 2 x))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* 1/24 (* eps (cos x)))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) #s(hole binary64 (* eps (+ 1/24 (* 1/6 (/ x eps))))))
#s(approx (- (cos eps) 1) #s(hole binary64 (- (cos eps) 1)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (* 1/4 (* eps x))))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (* eps (- (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)) (/ 1 eps)))))
#s(approx (+ (* 1/4 eps) (* 1/6 x)) #s(hole binary64 (* eps (+ 1/4 (* 1/6 (/ x eps))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/3840 (pow eps 5))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 5) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 5) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (* 1/3840 (pow eps 4))))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (+ (* 1/3840 (* eps eps)) -1/48) #s(hole binary64 (* 1/3840 (pow eps 2))))
#s(approx (+ (* 1/3840 (* eps eps)) -1/48) #s(hole binary64 (* (pow eps 2) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* eps (+ 1/2 (* 1/2 (/ (+ (PI) (* 2 x)) eps))))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 eps))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (* eps (+ 1 (+ (* 2 (/ x eps)) (/ (PI) eps))))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 eps))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) #s(hole binary64 (* -1 (* eps (- (* -1/6 (/ x eps)) 1/24)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* -1/4 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (- (* 1/6 (pow x 2)) 1) eps)) (* -1/4 x))))))
#s(approx (+ (* 1/4 eps) (* 1/6 x)) #s(hole binary64 (* -1 (* eps (- (* -1/6 (/ x eps)) 1/4)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) 1/3840)))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) (+ 1/3840 (/ 1/2 (pow eps 4))))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* -1 (* eps (- (* -1/2 (/ (+ (PI) (* 2 x)) eps)) 1/2)))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (PI) (* 2 x)) eps)) 1)))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (+ (* 1/6 x) (* 1/24 eps)) 1/6 x (* 1/24 eps) 1/24 (* -1/2 (cos x)) -1/2 (cos x) (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) (+ (* 1/4 eps) (* 1/6 x)) 1/4 (* 1/6 x) -1 (* -1/2 eps) (- (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) (* x x) (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) (+ (* 1/3840 (* eps eps)) -1/48) 1/3840 (* eps eps) -1/48 1/2 (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (+ (+ eps x) (/ (PI) 2)) (+ eps x) (/ (PI) 2) (PI) (+ x (/ (PI) 2)))
5.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (+ (* 1/6 x) (* 1/24 eps)) 1/6 x (* 1/24 eps) 1/24 (* -1/2 (cos x)) -1/2 (cos x) (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) (+ (* 1/4 eps) (* 1/6 x)) 1/4 (* 1/6 x) -1 (* -1/2 eps) (- (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) (* x x) (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) (+ (* 1/3840 (* eps eps)) -1/48) 1/3840 (* eps eps) -1/48 1/2 (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (+ (+ eps x) (/ (PI) 2)) (+ eps x) (/ (PI) 2) (PI) (+ x (/ (PI) 2)))
5.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (+ (* 1/6 x) (* 1/24 eps)) 1/6 x (* 1/24 eps) 1/24 (* -1/2 (cos x)) -1/2 (cos x) (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) (+ (* 1/4 eps) (* 1/6 x)) 1/4 (* 1/6 x) -1 (* -1/2 eps) (- (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) (* x x) (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) (+ (* 1/3840 (* eps eps)) -1/48) 1/3840 (* eps eps) -1/48 1/2 (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (+ (+ eps x) (/ (PI) 2)) (+ eps x) (/ (PI) 2) (PI) (+ x (/ (PI) 2)))
5.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (+ (* 1/6 x) (* 1/24 eps)) 1/6 x (* 1/24 eps) 1/24 (* -1/2 (cos x)) -1/2 (cos x) (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) (+ (* 1/4 eps) (* 1/6 x)) 1/4 (* 1/6 x) -1 (* -1/2 eps) (- (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) (* x x) (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) (+ (* 1/3840 (* eps eps)) -1/48) 1/3840 (* eps eps) -1/48 1/2 (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (+ (+ eps x) (/ (PI) 2)) (+ eps x) (/ (PI) 2) (PI) (+ x (/ (PI) 2)))
5.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (+ (* 1/6 x) (* 1/24 eps)) 1/6 x (* 1/24 eps) 1/24 (* -1/2 (cos x)) -1/2 (cos x) (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) (+ (* 1/4 eps) (* 1/6 x)) 1/4 (* 1/6 x) -1 (* -1/2 eps) (- (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) (* x x) (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) (+ (* 1/3840 (* eps eps)) -1/48) 1/3840 (* eps eps) -1/48 1/2 (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (+ (+ eps x) (/ (PI) 2)) (+ eps x) (/ (PI) 2) (PI) (+ x (/ (PI) 2)))

rewrite206.0ms (2.5%)

Memory

-2.2MiB live, 141.0MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1071	8573
0	1130	8069
1	6257	8069
0	8386	7646

Stop Event

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

Counts

346 → 532

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (fma.f64 eps #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))
(.f64 (fma.f64 eps #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
eps
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps))
#s(literal 1/6 binary64)
x
(*.f64 #s(literal 1/24 binary64) eps)
#s(literal 1/24 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
(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 (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.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))
(.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps)
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.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)))
(fma.f64 (fma.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))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64))
(fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal -1 binary64)
(*.f64 #s(literal -1/2 binary64) eps)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (fma.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 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
#s(literal 2 binary64)
(.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)
(fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64))
#s(literal 1/3840 binary64)
(*.f64 eps eps)
#s(literal -1/48 binary64)
#s(literal 1/2 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 (+.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 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 eps x)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(+.f64 x (/.f64 (PI.f64) #s(literal 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 (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2)))))))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (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) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 -1))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (- (* 1/4 (* eps x)) 1)))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))
#s(approx (+ (* 1/4 eps) (* 1/6 x)) #s(hole binary64 (* 1/4 eps)))
#s(approx (+ (* 1/4 eps) (* 1/6 x)) #s(hole binary64 (+ (* 1/6 x) (* 1/4 eps))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (+ (* -2 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/3 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (+ (* -1 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1/2 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1/2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/6 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (PI))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* -1 (* x (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* -1/2 (* x (cos (* 1/2 (+ eps (PI)))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* x (+ (* -1/2 (cos (* 1/2 (+ eps (PI))))) (* 1/6 (* x (sin (* 1/2 (+ eps (PI)))))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* 1/2 (+ eps (PI)))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (+ x (* 1/2 (+ eps (PI))))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (+ eps (+ (PI) (* 2 x)))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (+ eps (* 1/2 (PI)))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (+ eps (+ x (* 1/2 (PI))))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) #s(hole binary64 (* x (+ 1/6 (* 1/24 (/ eps x))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/4 (/ eps x))))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (+ (* -1/2 (/ eps (pow x 3))) (* 1/4 (/ eps x)))) (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/4 (/ eps x))))))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (* (pow x 2) (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))))
#s(approx (+ (* 1/4 eps) (* 1/6 x)) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/4 eps) (* 1/6 x)) #s(hole binary64 (* x (+ 1/6 (* 1/4 (/ eps 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 (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (+ (PI) (* 2 x)))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ eps (PI)) x))))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (* x (+ 2 (+ (/ eps x) (/ (PI) x))))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 x))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 x))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) #s(hole binary64 (* -1 (* x (- (* -1/24 (/ eps x)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1/4 (/ eps x)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/4 eps) (/ 1 x)) x)) 1/6)))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (/ eps x))) x)) (* 1/4 eps)) x)) 1/6)))))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1 (/ (+ (* -1/4 eps) (/ 1 x)) x))))))
#s(approx (+ (* 1/4 eps) (* 1/6 x)) #s(hole binary64 (* -1 (* x (- (* -1/4 (/ eps x)) 1/6)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (cos (* 1/2 (- (+ eps (PI)) (* -2 x))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 2)))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* 1/6 (sin x))))
#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 (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* x (- (* 1/6 (pow x 2)) 1))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (- (* 1/6 (pow x 2)) 1)))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1)))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos x)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* 2 (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* 1/24 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 2 (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* 1/2 (* eps (cos (* 1/2 (+ (PI) (* 2 x))))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (+ (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))
#s(approx (+ (* 1/3840 (* eps eps)) -1/48) #s(hole binary64 -1/48))
#s(approx (+ (* 1/3840 (* eps eps)) -1/48) #s(hole binary64 (- (* 1/3840 (pow eps 2)) 1/48)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (cos (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* -1/8 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* eps (+ (* -1/8 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* 1/2 (+ (PI) (* 2 x)))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (+ (* 1/2 eps) (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (+ (PI) (* 2 x))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* 1/24 (* eps (cos x)))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) #s(hole binary64 (* eps (+ 1/24 (* 1/6 (/ x eps))))))
#s(approx (- (cos eps) 1) #s(hole binary64 (- (cos eps) 1)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (* 1/4 (* eps x))))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (* eps (- (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)) (/ 1 eps)))))
#s(approx (+ (* 1/4 eps) (* 1/6 x)) #s(hole binary64 (* eps (+ 1/4 (* 1/6 (/ x eps))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/3840 (pow eps 5))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 5) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 5) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (* 1/3840 (pow eps 4))))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- (+ 1/3840 (/ 1/2 (pow eps 4))) (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (+ (* 1/3840 (* eps eps)) -1/48) #s(hole binary64 (* 1/3840 (pow eps 2))))
#s(approx (+ (* 1/3840 (* eps eps)) -1/48) #s(hole binary64 (* (pow eps 2) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* eps (+ 1/2 (* 1/2 (/ (+ (PI) (* 2 x)) eps))))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 eps))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (* eps (+ 1 (+ (* 2 (/ x eps)) (/ (PI) eps))))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 eps))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) #s(hole binary64 (* -1 (* eps (- (* -1/6 (/ x eps)) 1/24)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* -1/4 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (- (* 1/6 (pow x 2)) 1) eps)) (* -1/4 x))))))
#s(approx (+ (* 1/4 eps) (* 1/6 x)) #s(hole binary64 (* -1 (* eps (- (* -1/6 (/ x eps)) 1/4)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) 1/3840)))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/48 (/ 1 (pow eps 2))) (+ 1/3840 (/ 1/2 (pow eps 4))))))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) #s(hole binary64 (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps))))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) #s(hole binary64 (* -1 (* eps (- (* -1/2 (/ (+ (PI) (* 2 x)) eps)) 1/2)))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (PI) (* 2 x)) eps)) 1)))))
#s(approx (+ (+ eps x) (/ (PI) 2)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Outputs
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #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 (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #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 (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #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 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 (fma.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (fma.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #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 (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #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))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 (fma.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 (fma.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #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)))))
(neg.f64 (-.f64 (sin.f64 x) (.f64 (fma.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)))
(fma.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x)))
(fma.f64 eps (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(-.f64 (.f64 (fma.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #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 (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (neg.f64 (sin.f64 x)))
(.f64 (fma.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(.f64 eps (fma.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps) (.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (-.f64 (.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps) (.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 (.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps))) eps))
(fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps))) eps))
(fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(-.f64 (.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps) (.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(+.f64 (.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps))) eps))
eps
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x))) (-.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/24 binary64) eps))) (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/24 binary64) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/24 binary64) eps) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) eps) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/24 binary64) eps)))))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps))
(fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 eps #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) eps))
(-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal -1/24 binary64) eps))
(-.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal -1/6 binary64) x))
(+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/24 binary64) eps))
(+.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x))
#s(literal 1/6 binary64)
x
(*.f64 #s(literal 1/24 binary64) eps)
(*.f64 eps #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(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 (/.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 x) (*.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 x)) (.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.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)))))
(sin.f64 x)
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(approx (cos eps) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (log.f64 #s(approx (cos eps) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(approx (cos eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos eps) #s(literal 1 binary64))))
(-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal -1 binary64))
#s(approx (cos eps) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.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))
(.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.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)
(.f64 eps #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.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)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps))) (-.f64 (.f64 (fma.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)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x))) (-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (.f64 (fma.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)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x)))))
(fma.f64 (fma.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))
(fma.f64 #s(literal -1/2 binary64) eps (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x))
(fma.f64 eps #s(literal -1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x))
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#s(literal -1/48 binary64)
#s(literal 1/2 binary64)
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#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)))
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#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
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#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (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 (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (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 (+ (* 1/6 x) (* 1/24 eps)) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx x x)
#s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64))
#s(approx (* -1/2 (cos x)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
#s(approx (* -1/2 (cos x)) (fma.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)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (.f64 x x) #s(literal -1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.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 (fma.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 (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 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (fma.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) -1/2) (sin x)) eps) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
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#s(approx (* (- (* (* (cos x) eps) -1/2) (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 x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.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 (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (fma.f64 (fma.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 (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) #s(literal -1 binary64))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) (fma.f64 (*.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)))
#s(approx (+ (* 1/4 eps) (* 1/6 x)) (*.f64 #s(literal 1/4 binary64) eps))
#s(approx (+ (* 1/4 eps) (* 1/6 x)) (fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)))
#s(approx (cos (+ x eps)) (fma.f64 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 (+ eps x) eps)
#s(approx (+ eps x) (+.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 (fma.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) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (neg.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))) x (.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))) x (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (fma.f64 (neg.f64 x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (neg.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (fma.f64 (neg.f64 x) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (fma.f64 x (-.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64)) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (fma.f64 (-.f64 (.f64 (fma.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))) x) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) x (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (+.f64 (PI.f64) eps))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps))
#s(approx (+ (+ eps x) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))
#s(approx (+ (+ eps x) (/ (PI) 2)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) eps))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (+ x (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) (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 (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) (.f64 (*.f64 x x) x)))
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#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ eps x) x)
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#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (.f64 (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) x)
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#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (+.f64 x x))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (*.f64 (+.f64 (/.f64 (+.f64 (PI.f64) eps) x) #s(literal 2 binary64)) x))
#s(approx (+ (+ eps x) (/ (PI) 2)) x)
#s(approx (+ (+ eps x) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x) #s(literal 1 binary64)) x))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (+ x (/ (PI) 2)) x)
#s(approx (+ x (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (-.f64 (cos.f64 (-.f64 (neg.f64 x) eps)) (cos.f64 x)))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/24 binary64) (/.f64 eps x) #s(literal -1/6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (neg.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 eps x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (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))) x)) #s(literal 1/6 binary64)) (.f64 (*.f64 x x) x))))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) eps (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (+ (* 1/4 eps) (* 1/6 x)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/4 binary64) (/.f64 eps x) #s(literal -1/6 binary64))))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 (neg.f64 x) eps)))
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#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (.f64 (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 (PI.f64) eps) x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (+.f64 (PI.f64) eps) x)) #s(literal 2 binary64))))
#s(approx (+ (+ eps x) (/ (PI) 2)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x)) #s(literal 1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (+ x (/ (PI) 2)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.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 (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx eps eps)
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
#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 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (fma.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 (fma.f64 (fma.f64 (fma.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 (fma.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 (fma.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) -1/2) (sin x)) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps)))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64))))
#s(approx (* -1/2 eps) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (cos (+ x eps)) (cos.f64 x))
#s(approx (cos (+ x eps)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x)))
#s(approx (cos (+ x eps)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (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 (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (fma.f64 (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps) #s(literal -1/2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))) eps))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) eps) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64)) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) eps (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))) eps))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (fma.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64)) #s(literal 2 binary64) (.f64 (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) eps (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))) eps))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (.f64 (.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps) #s(literal 1/2 binary64)))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (.f64 (fma.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps) #s(literal -1/4 binary64))) eps))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64)) eps (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) eps (.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) eps))
#s(approx (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2))) (.f64 (fma.f64 (fma.f64 eps (fma.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64) (.f64 (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps) #s(literal 1/48 binary64))) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) eps (.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) eps))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
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#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (*.f64 #s(literal 1/2 binary64) eps))
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#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) eps)
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#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (.f64 eps eps)) #s(literal 1/3840 binary64)) (pow.f64 eps #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) eps) (neg.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (.f64 eps eps)) #s(literal 1/3840 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 5 binary64)))))
#s(approx (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
#s(approx (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps)) #s(literal 1 binary64))))
#s(approx (+ (+ eps x) (/ (PI) 2)) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) eps)) #s(literal 1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))

eval65.0ms (0.8%)

Memory: 13.0MiB live, 101.3MiB allocated; 14ms collecting garbage
Compiler: Compiled 8 202 to 2 929 computations (64.3% saved)

prune26.0ms (0.3%)

Memory

-6.5MiB live, 40.8MiB allocated; 3ms collecting garbage

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	497	9	506
Fresh	8	12	20
Picked	2	3	5
Done	1	1	2
Total	508	25	533

Accuracy

100.0%

Counts

533 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.0%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))
	51.0%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
	51.0%	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
✓	50.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
▶	79.8%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	53.5%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	13.1%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)))))
	12.8%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 #s(approx (+ ( (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps)) (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)))))
✓	49.6%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
▶	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps) (sin.f64 x)) eps))
	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) #s(approx ( -1/2 (cos x)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)))) eps) (sin.f64 x)) eps))
✓	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	79.3%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
▶	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (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 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
	37.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) eps))) (.f64 (*.f64 eps eps) eps)))) eps))
✓	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.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))
	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 1/4 eps) (* 1/6 x)) (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
▶	51.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
▶	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps)))) eps))
	79.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x))) eps))
	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	11.7%	#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))

Compiler

Compiled 1 163 to 1 041 computations (10.5% saved)

series48.0ms (0.6%)

Memory

31.8MiB live, 31.8MiB allocated; 0ms collecting garbage

Counts

60 → 323

Calls

Call 1

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

Outputs
#s(approx (- (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 (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2)))))))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (+ (* (+ (* (* x x) -1/48) 1/4) (* x x)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* (* x x) -1/48) 1/4) (* x x)) -1/2) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (+ (* (+ (* (* x x) -1/48) 1/4) (* x x)) -1/2) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (+ (* (* x x) -1/48) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (* x x) -1/48) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow x 2)))))
#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 x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (+ (* (* x x) 1/6) -1) #s(hole binary64 -1))
#s(approx (+ (* (* x x) 1/6) -1) #s(hole binary64 (- (* 1/6 (pow x 2)) 1)))
#s(approx (* (+ (* (* x x) 1/4) -1/2) eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (+ (* (* x x) 1/4) -1/2) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (+ (* (* x x) 1/4) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* x x) 1/4) -1/2) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2)))))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) #s(hole binary64 (* eps (+ 1/4 (* -1/48 (pow eps 2))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) #s(hole binary64 (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2)))))))
#s(approx (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
#s(approx (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))))
#s(approx (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))))
#s(approx (* -2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* -2 (sin (* 1/2 eps)))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps)))))))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) #s(hole binary64 (* x (+ 1/6 (* 1/24 (/ eps x))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* (+ (* (* x x) -1/48) 1/4) (* x x)) -1/2) #s(hole binary64 (* -1/48 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) -1/48) 1/4) (* x x)) -1/2) #s(hole binary64 (* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 1/48))))
#s(approx (+ (* (+ (* (* x x) -1/48) 1/4) (* x x)) -1/2) #s(hole binary64 (* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) (+ 1/48 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (* x x) -1/48) 1/4) #s(hole binary64 (* -1/48 (pow x 2))))
#s(approx (+ (* (* x x) -1/48) 1/4) #s(hole binary64 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/48))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/4 (/ eps x))))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (+ (* -1/2 (/ eps (pow x 3))) (* 1/4 (/ eps x)))) (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/4 (/ eps x))))))
#s(approx (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (+ (* -1/2 (/ eps (pow x 3))) (* 1/4 (/ eps x)))) (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/6) -1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) -1) #s(hole binary64 (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* x x) 1/4) -1/2) eps) #s(hole binary64 (* 1/4 (* eps (pow x 2)))))
#s(approx (* (+ (* (* x x) 1/4) -1/2) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)))))
#s(approx (+ (* (* x x) 1/4) -1/2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (+ (* (* x x) 1/4) -1/2) #s(hole binary64 (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/36 (pow eps 2))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* -1/36 (pow eps 2)) (/ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) x))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (+ (* -1/36 (pow eps 2)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (/ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) x)))) (/ 1 (pow x 2))))))
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#s(approx (+ eps x) #s(hole binary64 x))
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#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
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#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (* 1/24 eps) #s(hole binary64 (* 1/24 eps)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
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#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow x 2)) (* eps (+ (* 1/4 x) (* eps (+ 1/6 (* -1/36 (pow x 2)))))))))
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#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) #s(hole binary64 (+ (* 1/6 x) (* 1/4 eps))))
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#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 (+ 1/6 (* -1/36 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (* (* eps eps) -1/48) 1/4) eps) #s(hole binary64 (* 1/4 eps)))
#s(approx (* (+ (* (* eps eps) -1/48) 1/4) eps) #s(hole binary64 (* eps (+ 1/4 (* -1/48 (pow eps 2))))))
#s(approx (+ (* (* eps eps) -1/48) 1/4) #s(hole binary64 1/4))
#s(approx (+ (* (* eps eps) -1/48) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow eps 2)))))
#s(approx (* (* eps eps) 1/6) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) eps) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (+ (* (* eps eps) 1/24) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* eps eps) 1/24) -1/2) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))))
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#s(approx (* -2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* -1 eps)))
#s(approx (* -2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1))))
#s(approx (* -2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2)))) 1))))
#s(approx (* -2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))) 1))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin x)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* 1/2 (* eps (cos x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* 1/24 (* eps (cos x)))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) #s(hole binary64 (* eps (+ 1/24 (* 1/6 (/ x eps))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))))
#s(approx (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) #s(hole binary64 (* eps (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) #s(hole binary64 (* eps (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* (pow eps 3) (+ 1/24 (* -1/48 (pow x 2))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* (pow eps 3) (+ 1/24 (+ (* -1/48 (pow x 2)) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* (pow eps 3) (- (+ 1/24 (+ (* -1/48 (pow x 2)) (+ (* 1/4 (/ (pow x 2) (pow eps 2))) (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)))) (/ 1/2 (pow eps 2))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* (pow eps 3) (- (+ 1/24 (+ (* -1/48 (pow x 2)) (+ (* 1/4 (/ (pow x 2) (pow eps 2))) (+ (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps) (/ (* x (- (* 1/6 (pow x 2)) 1)) (pow eps 3)))))) (/ 1/2 (pow eps 2))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* -1/48 (* (pow eps 3) x))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 3) (+ (* -1/36 (/ (pow x 2) eps)) (+ (* -1/48 x) (* 1/6 (/ 1 eps)))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 3) (+ (* -1/36 (/ (pow x 2) eps)) (+ (* -1/48 x) (+ (* 1/4 (/ x (pow eps 2))) (* 1/6 (/ 1 eps))))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 3) (- (+ (* -1/36 (/ (pow x 2) eps)) (+ (* -1/48 x) (+ (* 1/6 (/ (pow x 2) (pow eps 3))) (+ (* 1/4 (/ x (pow eps 2))) (* 1/6 (/ 1 eps)))))) (/ 1 (pow eps 3))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* -1/48 (* (pow eps 3) x))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow eps 3) (+ (* -1/36 (/ (pow x 2) eps)) (+ (* -1/48 x) (* 1/6 (/ 1 eps)))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow eps 3) (+ (* -1/36 (/ (pow x 2) eps)) (+ (* -1/48 x) (+ (* 1/4 (/ x (pow eps 2))) (* 1/6 (/ 1 eps))))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* (pow eps 3) (+ (* -1/36 (/ (pow x 2) eps)) (+ (* -1/48 x) (+ (* 1/6 (/ (pow x 2) (pow eps 3))) (+ (* 1/4 (/ x (pow eps 2))) (* 1/6 (/ 1 eps)))))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) #s(hole binary64 (* -1/48 (pow eps 3))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) #s(hole binary64 (* (pow eps 3) (- (* -1/36 (/ x eps)) 1/48))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) #s(hole binary64 (* (pow eps 3) (- (+ (* -1/36 (/ x eps)) (/ 1/4 (pow eps 2))) 1/48))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) #s(hole binary64 (* (pow eps 3) (- (+ (* -1/36 (/ x eps)) (+ (* 1/6 (/ x (pow eps 3))) (/ 1/4 (pow eps 2)))) 1/48))))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 (* -1/36 (pow eps 2))))
#s(approx (+ (* -1/36 (* eps eps)) 1/6) #s(hole binary64 (* (pow eps 2) (- (* 1/6 (/ 1 (pow eps 2))) 1/36))))
#s(approx (* (+ (* (* eps eps) -1/48) 1/4) eps) #s(hole binary64 (* -1/48 (pow eps 3))))
#s(approx (* (+ (* (* eps eps) -1/48) 1/4) eps) #s(hole binary64 (* (pow eps 3) (- (* 1/4 (/ 1 (pow eps 2))) 1/48))))
#s(approx (+ (* (* eps eps) -1/48) 1/4) #s(hole binary64 (* -1/48 (pow eps 2))))
#s(approx (+ (* (* eps eps) -1/48) 1/4) #s(hole binary64 (* (pow eps 2) (- (* 1/4 (/ 1 (pow eps 2))) 1/48))))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) eps) #s(hole binary64 (* 1/24 (pow eps 3))))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) eps) #s(hole binary64 (* (pow eps 3) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (* eps eps) 1/24) -1/2) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (+ (* (* eps eps) 1/24) -1/2) #s(hole binary64 (* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) #s(hole binary64 (* -1 (* eps (- (* -1/6 (/ x eps)) 1/24)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* -1/4 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) #s(hole binary64 (* -1 (* eps (+ (* -1 (- (* 1/4 (pow x 2)) 1/2)) (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* 1/48 (pow x 2)) 1/24)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (+ (* -1 (/ (* x (+ 1/6 (* -1/36 (pow x 2)))) eps)) (* 1/48 (pow x 2))) 1/24)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))) eps)) (* 1/48 (pow x 2))) 1/24)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2)))) eps)) (* x (+ 1/6 (* -1/36 (pow x 2))))) eps)) (* 1/48 (pow x 2))) 1/24)))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/6 (* -1/36 (pow x 2))) eps)) (* 1/48 x))))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/6 (+ (* -1/36 (pow x 2)) (* 1/4 (/ x eps)))) eps)) (* 1/48 x))))))
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#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/6 (* -1/36 (pow x 2))) eps)) (* 1/48 x))))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/6 (+ (* -1/36 (pow x 2)) (* 1/4 (/ x eps)))) eps)) (* 1/48 x))))))
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#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/48 (* 1/36 (/ x eps)))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/48 (* -1 (/ (+ (* -1/36 x) (* 1/4 (/ 1 eps))) eps)))))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (+ 1/48 (* -1 (/ (+ (* -1 (/ (- (* -1/6 (/ x eps)) 1/4) eps)) (* -1/36 x)) eps)))))))
#s(approx (* (+ (* (* eps eps) -1/48) 1/4) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/48 (* 1/4 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)))))
#s(approx (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (+ (* 1/6 x) (* 1/24 eps)) 1/6 x (* 1/24 eps) 1/24 (* -1/2 (cos x)) (+ (* (+ (* (* x x) -1/48) 1/4) (* x x)) -1/2) (+ (* (* x x) -1/48) 1/4) (* x x) -1/48 1/4 -1/2 (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* -1/2 eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) (+ (* (* x x) 1/6) -1) -1 (* (+ (* (* x x) 1/4) -1/2) eps) (+ (* (* x x) 1/4) -1/2) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* eps eps) (* (+ (* (* eps eps) -1/48) 1/4) eps) (+ (* (* eps eps) -1/48) 1/4) (* (* eps eps) 1/6) 1 (* (+ (* (* eps eps) 1/24) -1/2) eps) (+ (* (* eps eps) 1/24) -1/2) (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- (+ eps x) x) 2))) -2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x) (+ eps x) 2 (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x))
7.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (+ (* 1/6 x) (* 1/24 eps)) 1/6 x (* 1/24 eps) 1/24 (* -1/2 (cos x)) (+ (* (+ (* (* x x) -1/48) 1/4) (* x x)) -1/2) (+ (* (* x x) -1/48) 1/4) (* x x) -1/48 1/4 -1/2 (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* -1/2 eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) (+ (* (* x x) 1/6) -1) -1 (* (+ (* (* x x) 1/4) -1/2) eps) (+ (* (* x x) 1/4) -1/2) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* eps eps) (* (+ (* (* eps eps) -1/48) 1/4) eps) (+ (* (* eps eps) -1/48) 1/4) (* (* eps eps) 1/6) 1 (* (+ (* (* eps eps) 1/24) -1/2) eps) (+ (* (* eps eps) 1/24) -1/2) (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- (+ eps x) x) 2))) -2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x) (+ eps x) 2 (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x))
7.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (+ (* 1/6 x) (* 1/24 eps)) 1/6 x (* 1/24 eps) 1/24 (* -1/2 (cos x)) (+ (* (+ (* (* x x) -1/48) 1/4) (* x x)) -1/2) (+ (* (* x x) -1/48) 1/4) (* x x) -1/48 1/4 -1/2 (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* -1/2 eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) (+ (* (* x x) 1/6) -1) -1 (* (+ (* (* x x) 1/4) -1/2) eps) (+ (* (* x x) 1/4) -1/2) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* eps eps) (* (+ (* (* eps eps) -1/48) 1/4) eps) (+ (* (* eps eps) -1/48) 1/4) (* (* eps eps) 1/6) 1 (* (+ (* (* eps eps) 1/24) -1/2) eps) (+ (* (* eps eps) 1/24) -1/2) (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- (+ eps x) x) 2))) -2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x) (+ eps x) 2 (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x))
6.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (+ (* 1/6 x) (* 1/24 eps)) 1/6 x (* 1/24 eps) 1/24 (* -1/2 (cos x)) (+ (* (+ (* (* x x) -1/48) 1/4) (* x x)) -1/2) (+ (* (* x x) -1/48) 1/4) (* x x) -1/48 1/4 -1/2 (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* -1/2 eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) (+ (* (* x x) 1/6) -1) -1 (* (+ (* (* x x) 1/4) -1/2) eps) (+ (* (* x x) 1/4) -1/2) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* eps eps) (* (+ (* (* eps eps) -1/48) 1/4) eps) (+ (* (* eps eps) -1/48) 1/4) (* (* eps eps) 1/6) 1 (* (+ (* (* eps eps) 1/24) -1/2) eps) (+ (* (* eps eps) 1/24) -1/2) (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- (+ eps x) x) 2))) -2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x) (+ eps x) 2 (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x))
6.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (+ (* 1/6 x) (* 1/24 eps)) 1/6 x (* 1/24 eps) 1/24 (* -1/2 (cos x)) (+ (* (+ (* (* x x) -1/48) 1/4) (* x x)) -1/2) (+ (* (* x x) -1/48) 1/4) (* x x) -1/48 1/4 -1/2 (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* -1/2 eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) (+ (* (* x x) 1/6) -1) -1 (* (+ (* (* x x) 1/4) -1/2) eps) (+ (* (* x x) 1/4) -1/2) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* eps eps) (* (+ (* (* eps eps) -1/48) 1/4) eps) (+ (* (* eps eps) -1/48) 1/4) (* (* eps eps) 1/6) 1 (* (+ (* (* eps eps) 1/24) -1/2) eps) (+ (* (* eps eps) 1/24) -1/2) (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- (+ eps x) x) 2))) -2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x) (+ eps x) 2 (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x))

rewrite259.0ms (3.2%)

Memory

-22.9MiB live, 218.2MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1246	11074
0	1317	10608
1	7544	10608
0	8152	10033

Stop Event

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

Counts

383 → 598

Calls

Call 1

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

Outputs
#s(approx (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps) (.f64 (fma.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (fma.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps) (.f64 (fma.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 (fma.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps) (sin.f64 x)))))
(neg.f64 (-.f64 (sin.f64 x) (.f64 (fma.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps)))
(fma.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps (neg.f64 (sin.f64 x)))
(fma.f64 eps (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) (neg.f64 (sin.f64 x)))
(-.f64 (.f64 (fma.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps) (sin.f64 x))
(+.f64 (.f64 (fma.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps) (neg.f64 (sin.f64 x)))
(.f64 (fma.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps)
(.f64 eps (fma.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps) (.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps)) (.f64 #s(approx (* -1/2 (cos x)) (fma.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)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64))))) (-.f64 (.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps) #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps) #s(literal 3 binary64)) (pow.f64 #s(approx ( -1/2 (cos x)) (fma.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(literal 3 binary64))) (fma.f64 (.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps) (.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps) (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (fma.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)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) (.f64 (.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps) #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))))))
(fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64))))
(fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64))))
(+.f64 (.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) eps) #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64))))
(+.f64 #s(approx (* -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64))) (.f64 #s(approx (+ ( (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps))) eps))
eps
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/24 binary64) eps))) (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/24 binary64) eps)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x))) (-.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/24 binary64) eps) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/24 binary64) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/24 binary64) eps) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x)))))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps))
(fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 eps #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) eps))
(-.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal -1/6 binary64) x))
(-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal -1/24 binary64) eps))
(+.f64 (.f64 #s(literal 1/24 binary64) eps) (.f64 #s(literal 1/6 binary64) x))
(+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/24 binary64) eps))
#s(literal 1/6 binary64)
x
(*.f64 #s(literal 1/24 binary64) eps)
(*.f64 eps #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(approx (* -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x) #s(literal -1/2 binary64)))))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x)))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x #s(literal -1/2 binary64))
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(neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(+.f64 (+.f64 x x) eps)
(+.f64 (+.f64 eps x) x)
(+.f64 eps (neg.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 eps (+.f64 x x))
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#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (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)))
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#s(approx (+ (* 1/6 x) (* 1/24 eps)) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx x x)
#s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64))
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#s(approx (* -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))
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#s(approx (+ (* (+ (* (* x x) -1/48) 1/4) (* x x)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (+ (* (* x x) -1/48) 1/4) (* x x)) -1/2) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
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#s(approx (+ (* (* x x) -1/48) 1/4) #s(literal 1/4 binary64))
#s(approx (+ (* (* x x) -1/48) 1/4) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)))
#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 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (fma.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))
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#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (.f64 (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))))
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#s(approx (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64)))
#s(approx (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 #s(literal -2 binary64) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) x)) x (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))))
#s(approx (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))) x (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) x (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))))
#s(approx (* -2 (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
#s(approx (sin (/ (- (+ eps x) x) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (/ (- (+ eps x) x) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- (+ eps x) x) eps)
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) x (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 x (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) x) #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) x) #s(literal -1/6 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))
#s(approx (+ (+ eps x) x) eps)
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) 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 (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) (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 (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) x))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (+ (* (* x x) -1/48) 1/4) (* x x)) -1/2) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/48 binary64)))
#s(approx (+ (* (+ (* (* x x) -1/48) 1/4) (* x x)) -1/2) (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (+ (* (+ (* (* x x) -1/48) 1/4) (* x x)) -1/2) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* (* x x) -1/48) 1/4) (.f64 (.f64 x x) #s(literal -1/48 binary64)))
#s(approx (+ (* (* x x) -1/48) 1/4) (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (.f64 (-.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 x x) x)))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (/.f64 eps (.f64 (.f64 x x) x)) #s(literal -1/2 binary64) (.f64 (/.f64 eps x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) (.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) (.f64 (-.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 x x) x)))
#s(approx (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) (.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (/.f64 eps (.f64 (.f64 x x) x)) #s(literal -1/2 binary64) (.f64 (/.f64 eps x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (* x x) 1/6) -1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) -1) (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (* (+ (* (* x x) 1/4) -1/2) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))
#s(approx (* (+ (* (* x x) 1/4) -1/2) eps) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) eps)) (.f64 x x)))
#s(approx (+ (* (* x x) 1/4) -1/2) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (+ (* (* x x) 1/4) -1/2) (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (+.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (-.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) eps) eps (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/6 binary64) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (-.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) eps) eps (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/6 binary64) (fma.f64 eps (/.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps) (.f64 (.f64 x x) x))))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 x x) x)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (.f64 (.f64 x x) (fma.f64 (*.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (.f64 (+.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (.f64 (-.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) eps) eps (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/6 binary64) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) (.f64 (.f64 x x) (fma.f64 (*.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) (.f64 (+.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) (.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) eps) eps (fma.f64 (/.f64 (.f64 eps eps) (.f64 x x)) #s(literal 1/6 binary64) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x))) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) (.f64 (+.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x)) #s(literal 1/6 binary64)) x))
#s(approx (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ eps x) x) 2) x)
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (+ eps x) x) (+.f64 x x))
#s(approx (+ (+ eps x) x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) x))
#s(approx (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (+ (* 1/6 x) (* 1/24 eps)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/24 binary64) (/.f64 eps x) #s(literal -1/6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (neg.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 eps x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x))))
#s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (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))) x)) #s(literal 1/6 binary64)) (.f64 (*.f64 x x) x))))
#s(approx (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) (neg.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 eps x) #s(literal -1/6 binary64)) (.f64 (*.f64 x x) x))))
#s(approx (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x))))
#s(approx (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (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))) x)) #s(literal 1/6 binary64)) (.f64 (*.f64 x x) x))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) eps) x)) (neg.f64 (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) x))))
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#s(approx (+ (* (+ (* (* x x) 1/6) -1) x) (* (+ (* (* x x) 1/4) -1/2) eps)) (.f64 (neg.f64 eps) (+.f64 (neg.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x) eps)) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg.f64 (.f64 (-.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) (neg.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x) eps))) #s(literal 1/24 binary64)) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg.f64 (.f64 (-.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) (neg.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps))) eps))) #s(literal 1/24 binary64)) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg.f64 (.f64 (-.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 x x) (neg.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) (neg.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x) eps))) #s(literal 1/2 binary64)) eps))) eps))) #s(literal 1/24 binary64)) (.f64 (.f64 eps eps) eps))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (neg.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) x (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (neg.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) x (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))) #s(literal 1/6 binary64)) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (neg.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) x (neg.f64 (/.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps))) eps))) #s(literal 1/6 binary64)) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) (neg.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) x (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) (neg.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) x (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))) #s(literal 1/6 binary64)) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) (neg.f64 (.f64 (fma.f64 #s(literal 1/48 binary64) x (neg.f64 (/.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/4 binary64) x)) eps))) #s(literal 1/6 binary64)) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) (neg.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (/.f64 x eps) #s(literal 1/48 binary64)) (.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/36 binary64) x (/.f64 #s(literal 1/4 binary64) eps)) eps)) #s(literal 1/48 binary64)) (.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/36 binary64) x (neg.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal -1/6 binary64) #s(literal -1/4 binary64)) eps))) eps)) #s(literal 1/48 binary64)) (.f64 (*.f64 eps eps) eps))))
#s(approx (* (+ (* (* eps eps) -1/48) 1/4) eps) (neg.f64 (.f64 (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) eps) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) #s(literal 1/24 binary64)) (.f64 (.f64 eps eps) eps))))
#s(approx (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64)))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.f64 (*.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64))))
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -1 binary64))))

eval80.0ms (1%)

Memory: 14.7MiB live, 105.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 10 736 to 4 326 computations (59.7% saved)

prune66.0ms (0.8%)

Memory

-1.2MiB live, 46.1MiB allocated; 2ms collecting garbage

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	618	11	629
Fresh	6	10	16
Picked	3	2	5
Done	1	3	4
Total	628	26	654

Accuracy

100.0%

Counts

654 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.0%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))
	51.0%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
	51.0%	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	99.6%	(.f64 #s(approx ( -2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal -1/1920 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	99.6%	(.f64 #s(approx ( -2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	99.2%	(.f64 #s(approx ( -2 (sin (/ (- (+ eps x) x) 2))) (neg.f64 eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	12.8%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 #s(approx (+ ( (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps)) (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)))))
✓	49.6%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) eps))
✓	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	79.3%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(approx (+ (* (* eps eps) -1/48) 1/4) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 #s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64)))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
	51.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (.f64 (.f64 (.f64 (.f64 eps eps) eps) x) #s(literal -1/48 binary64))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
	79.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x))) eps))
	49.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/24 binary64))))) eps))
✓	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.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))
	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 1/4 eps) (* 1/6 x)) (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
✓	51.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
✓	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps)))) eps))
	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	99.7%	#s(approx (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
	11.7%	#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))

Compiler

Compiled 1 557 to 1 108 computations (28.8% saved)

regimes42.0ms (0.5%)

Memory

-7.8MiB live, 43.9MiB allocated; 7ms collecting garbage

Counts

52 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (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 (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (.f64 (fma.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 (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (fma.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 (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 1/4 eps) (* 1/6 x)) (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.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 (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/24 binary64))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (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 (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (.f64 (.f64 (.f64 (.f64 eps eps) eps) x) #s(literal -1/48 binary64))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (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)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64)))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 #s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))
(.f64 #s(approx ( -2 (sin (/ (- (+ eps x) x) 2))) (neg.f64 eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(approx (+ (* (* eps eps) -1/48) 1/4) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps) #s(approx (sin x) (.f64 (fma.f64 #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 (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (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 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (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 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) #s(approx ( -1/2 (cos x)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)))) eps) (sin.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (*.f64 #s(literal 1/2 binary64) eps)) (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 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 #s(approx (+ ( (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps)) (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 #s(approx ( -2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal -1/1920 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (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)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (* -2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (+.f64 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)))))
#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 eps (fma.f64 (.f64 #s(literal 1/24 binary64) (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 eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) eps))) (.f64 (*.f64 eps eps) eps)))) eps))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x)))

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

Outputs

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

Calls

3 calls:

17.0ms	x
12.0ms	eps
9.0ms	(-.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)

regimes31.0ms (0.4%)

Memory

-3.2MiB live, 43.0MiB allocated; 2ms collecting garbage

Counts

41 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (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 (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (.f64 (fma.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 (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (fma.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 (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 1/4 eps) (* 1/6 x)) (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.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 (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/24 binary64))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (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 (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (.f64 (.f64 (.f64 (.f64 eps eps) eps) x) #s(literal -1/48 binary64))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (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)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64)))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 #s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))
(.f64 #s(approx ( -2 (sin (/ (- (+ eps x) x) 2))) (neg.f64 eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(approx (+ (* (* eps eps) -1/48) 1/4) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps) #s(approx (sin x) (.f64 (fma.f64 #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 (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (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 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (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 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) #s(approx ( -1/2 (cos x)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)))) eps) (sin.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (*.f64 #s(literal 1/2 binary64) eps)) (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 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 #s(approx (+ ( (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps)) (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 #s(approx ( -2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal -1/1920 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (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)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))))

Outputs
(.f64 #s(approx ( -2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal -1/1920 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))

Outputs

(*.f64 #s(approx (* -2 (sin (/ (- (+ eps x) x) 2))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/1920 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))

Calls

3 calls:

11.0ms	x
10.0ms	eps
7.0ms	(-.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)

regimes29.0ms (0.4%)

Memory

-9.7MiB live, 35.6MiB allocated; 4ms collecting garbage

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (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 (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (.f64 (fma.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 (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (fma.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 (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 1/4 eps) (* 1/6 x)) (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.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 (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/24 binary64))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (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 (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (.f64 (.f64 (.f64 (.f64 eps eps) eps) x) #s(literal -1/48 binary64))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (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)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64)))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 #s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (* 2 (* (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (cos (/ (+ (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))
(.f64 #s(approx ( -2 (sin (/ (- (+ eps x) x) 2))) (neg.f64 eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(approx (+ (* (* eps eps) -1/48) 1/4) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) #s(approx ( -1/2 (cos x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))) eps) #s(approx (sin x) (.f64 (fma.f64 #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 (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (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 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (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 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/24 binary64) eps))) #s(approx ( -1/2 (cos x)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)))) eps) (sin.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (*.f64 #s(literal 1/2 binary64) eps)) (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 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (+ eps x) (/ (PI) 2)) (+ x (/ (PI) 2))) 2)) (.f64 #s(approx (+ ( (+ (* 1/3840 (* eps eps)) -1/48) (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps)) (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)))))

Outputs

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

Calls

3 calls:

13.0ms	x
8.0ms	eps
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)

regimes19.0ms (0.2%)

Memory

32.2MiB live, 32.2MiB allocated; 0ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	eps
7.0ms	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)

regimes18.0ms (0.2%)

Memory

-28.2MiB live, 18.1MiB allocated; 3ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	eps
5.0ms	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)

regimes14.0ms (0.2%)

Memory

21.4MiB live, 21.4MiB 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 (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (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 (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (.f64 (fma.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 (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (fma.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 (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* 1/4 eps) (* 1/6 x)) (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.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 (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/24 binary64))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (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 (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (+ (* (+ (* 1/4 eps) (* 1/6 x)) x) -1) x) (* -1/2 eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (.f64 (.f64 (.f64 (.f64 eps eps) eps) x) #s(literal -1/48 binary64))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (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)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) #s(literal -1 binary64)))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 #s(approx (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* (* eps eps) -1/48) 1/4) eps)) (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))) eps))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.8%	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)

regimes16.0ms (0.2%)

Memory

-38.5MiB live, 17.0MiB allocated; 3ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

Outputs

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

7.0ms	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)

regimes11.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.6%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.6%	1	`x`
98.6%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.3%	1	`x`
98.3%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB 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 (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))

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

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

Calls

3 calls:

1.0ms	eps
1.0ms	x
1.0ms	(-.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	`eps`
98.1%	1	`x`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
51.1%	1	`x`
51.1%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes3.0ms (0%)

Memory

4.1MiB live, 4.1MiB 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
49.6%	1	`x`
49.6%	1	`eps`
49.6%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations375.0ms (4.6%)

Memory

-28.5MiB live, 111.1MiB allocated; 9ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 203 to 136 computations (33% saved)

preprocess139.0ms (1.7%)

Memory: -3.7MiB live, 206.7MiB allocated; 63ms collecting garbage
Compiler: Compiled 237 to 167 computations (29.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze29.0ms (0.4%)

sample6.0s (73.4%)

preprocess38.0ms (0.5%)

series5.0ms (0.1%)

rewrite149.0ms (1.8%)

eval11.0ms (0.1%)

prune10.0ms (0.1%)

series47.0ms (0.6%)

rewrite265.0ms (3.3%)

eval57.0ms (0.7%)

prune38.0ms (0.5%)

series41.0ms (0.5%)

rewrite206.0ms (2.5%)

eval65.0ms (0.8%)

prune26.0ms (0.3%)

series48.0ms (0.6%)

rewrite259.0ms (3.2%)

eval80.0ms (1%)

prune66.0ms (0.8%)

regimes42.0ms (0.5%)

regimes31.0ms (0.4%)

regimes29.0ms (0.4%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

regimes14.0ms (0.2%)

regimes16.0ms (0.2%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

derivations375.0ms (4.6%)

preprocess139.0ms (1.7%)

end0.0ms (0%)

Profiling