Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

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

analyze38.0ms (0.4%)

Memory

19.8MiB live, 62.2MiB allocated; 11ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample7.0s (70.4%)

Memory

182.6MiB live, 8 450.6MiB allocated; 2.1s collecting garbage

Samples

3.0s	5 799×	2	valid
2.3s	26 196×	0	invalid
424.0ms	2 410×	1	valid
5.0ms	47×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.2s

ival-cos: 2.8s (66.1% of total)

adjust: 439.0ms (10.4% of total)

ival-fabs: 289.0ms (6.8% of total)

ival-add!: 199.0ms (4.7% of total)

ival-<: 167.0ms (4% of total)

ival-mult!: 128.0ms (3% of total)

ival-sub!: 126.0ms (3% of total)

ival-and: 74.0ms (1.8% of total)

ival-assert: 13.0ms (0.3% of total)

Bogosity

preprocess42.0ms (0.4%)

Memory

-22.5MiB live, 21.0MiB allocated; 25ms 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	6685	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

6 → 36

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite216.0ms (2.2%)

Memory

-0.9MiB live, 144.1MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	544
0	153	524
1	957	521
0	8614	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: 19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 265 to 456 computations (64% saved)

prune9.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	102	11	113
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	12	114

Accuracy

99.7%

Counts

114 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.3%	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	54.0%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓	54.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	52.6%	(-.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))))
▶	52.7%	(-.f64 (cos.f64 (+.f64 x eps)) #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))))
▶	52.4%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	82.4%	(.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))))
▶	52.0%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
	99.3%	#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))
▶	99.5%	#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))
▶	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	78.8%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Compiler

Compiled 306 to 292 computations (4.6% saved)

series41.0ms (0.4%)

Memory

-28.2MiB live, 61.3MiB allocated; 9ms collecting garbage

Counts

38 → 187

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

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 (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) #s(hole binary64 (* x (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow x 2)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (- (cos (+ x 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 (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) #s(hole binary64 (* -1/720 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) #s(hole binary64 (* -1/720 (pow x 5))))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) #s(hole binary64 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) #s(hole binary64 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (- (cos (+ x 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 (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (- (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 (* (- (* (+ (* 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 (- (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))))))

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	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) (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (+ (* -1/720 (* x x)) 1/24) -1/720 (- (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))
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) (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (+ (* -1/720 (* x x)) 1/24) -1/720 (- (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))
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) (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (+ (* -1/720 (* x x)) 1/24) -1/720 (- (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))
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)) (* 1/24 (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) (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (+ (* -1/720 (* x x)) 1/24) -1/720 (- (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))
5.0ms	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)) (* 1/24 (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) (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (+ (* -1/720 (* x x)) 1/24) -1/720 (- (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))

rewrite258.0ms (2.6%)

Memory

-13.9MiB live, 130.3MiB allocated; 128ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	688	4900
0	746	4799
1	4125	4799
0	8286	4614

Stop Event

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

Counts

225 → 395

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)
(-.f64 (cos.f64 (+.f64 x eps)) #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) (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)))
(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))
(.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)
(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))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 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 (-.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)
#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 (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) #s(hole binary64 (* x (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow x 2)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (- (cos (+ x 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 (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) #s(hole binary64 (* -1/720 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) #s(hole binary64 (* -1/720 (pow x 5))))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) #s(hole binary64 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) #s(hole binary64 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (- (cos (+ x 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 (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (- (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 (* (- (* (+ (* 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 (- (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))))))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(.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 (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 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (fma.f64 eps (fma.f64 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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (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 2 binary64))) (-.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))) (+.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 2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (fma.f64 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))) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (pow.f64 (.f64 (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 2 binary64)) (.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)))
(.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 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))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) eps))
(fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) eps))
(+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)))))
(fma.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) 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 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (neg.f64 eps) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))))
(-.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) (.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))
(+.f64 (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
eps
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (sin.f64 x) #s(literal -1/6 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/13824 binary64) (pow.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))))
(neg.f64 (-.f64 (.f64 (sin.f64 x) #s(literal -1/6 binary64)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))))
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (neg.f64 (.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (neg.f64 (.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(fma.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (neg.f64 (.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(fma.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps) (neg.f64 (.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(fma.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 eps (.f64 #s(literal 1/24 binary64) (cos.f64 x)) (neg.f64 (.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(fma.f64 eps (.f64 #s(literal 1/24 binary64) (cos.f64 x)) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1/6 binary64)))
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal -1/6 binary64)))
(+.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (neg.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))
(+.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/24 binary64) (cos.f64 x))
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x
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(.f64 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 eps (neg.f64 (sin.f64 x)) (.f64 eps (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))))
(+.f64 (.f64 (neg.f64 (sin.f64 x)) eps) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps))
(+.f64 (.f64 eps (neg.f64 (sin.f64 x))) (.f64 eps (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 x)))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (neg.f64 (sin.f64 x)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))))))
(neg.f64 (-.f64 (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x)))
(fma.f64 (sin.f64 x) #s(literal -1 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps) (neg.f64 (sin.f64 x)))
(fma.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) eps) (neg.f64 (sin.f64 x)))
(-.f64 (neg.f64 (sin.f64 x)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps)))
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x))
(+.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (neg.f64 (sin.f64 x)))
(.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 x) eps))
(.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 x (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 x (-.f64 (.f64 (+.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (- (* (+ (* 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 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) 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 (+ x eps) eps)
#s(approx (+ x eps) (+.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 (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* x x)) 1/24) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (* (- (* (* (cos 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 (- (cos (+ x eps)) (cos x)) (-.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 (+ x eps) x)
#s(approx (+ x eps) (*.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 (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/720 binary64)))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (+ (* (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/720 binary64)))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64))))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* -1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* x x)) 1/24) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (*.f64 x x)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (* (cos x) eps) -1/2) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.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 (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* -1/720 (* x x)) 1/24) (* x x)) -1/2) x) (neg.f64 (.f64 (+.f64 #s(literal 1/720 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (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 (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 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 eps eps)))
#s(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 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (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)))
#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 (* (- (* (+ (* 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 (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64)))
#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 (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 (neg.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 (fma.f64 (cos.f64 x) #s(literal 1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* 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))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (neg.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/24 binary64) (cos.f64 x))) (.f64 (.f64 eps eps) eps))))
#s(approx (- (* (+ (* 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)) (.f64 (.f64 (neg.f64 eps) (*.f64 eps eps)) (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) eps)))))
#s(approx (* (+ (* 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 (+ x eps) (*.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))))

eval78.0ms (0.8%)

Memory: -30.0MiB live, 109.3MiB allocated; 31ms collecting garbage
Compiler: Compiled 6 005 to 2 396 computations (60.1% saved)

prune31.0ms (0.3%)

Memory

34.5MiB live, 80.0MiB allocated; 4ms collecting garbage

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	448	25	473
Fresh	1	5	6
Picked	3	2	5
Done	0	1	1
Total	452	33	485

Accuracy

100.0%

Counts

485 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.3%	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	54.0%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓	54.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	52.7%	(-.f64 (cos.f64 (+.f64 x eps)) #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))))
	82.4%	(.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))))
▶	99.8%	#s(approx (- (cos (+ x eps)) (cos 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)))
▶	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps)))
	52.0%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	52.0%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
	99.3%	#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))
	99.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 #s(approx (* 1/24 (cos x)) #s(literal 1/24 binary64)) eps (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
	98.8%	#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 (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))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 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))
✓	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
▶	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
	97.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #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))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	98.2%	#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))) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
	97.9%	#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))
	98.2%	#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 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	97.8%	#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))
	98.2%	#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))
	78.8%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
▶	96.7%	#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 (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))) eps))
	97.0%	#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)) (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))
	96.9%	#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))
	96.7%	#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))
	96.7%	#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))
	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #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)))) eps))
	53.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
	97.2%	#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)))))
	96.7%	#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 (.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)))))
	97.2%	#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)))))
	96.9%	#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)))))

Compiler

Compiled 1 433 to 1 332 computations (7% saved)

series34.0ms (0.3%)

Memory

-18.3MiB live, 73.3MiB allocated; 9ms collecting garbage

Counts

42 → 218

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite254.0ms (2.6%)

Memory

32.4MiB live, 212.7MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	791	6616
0	848	6325
1	4892	6325
0	8376	6114

Stop Event

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

Counts

260 → 444

Calls

Call 1

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

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

eval140.0ms (1.4%)

Memory: -16.0MiB live, 127.5MiB allocated; 39ms collecting garbage
Compiler: Compiled 6 619 to 2 640 computations (60.1% saved)

prune80.0ms (0.8%)

Memory

-18.7MiB live, 89.4MiB allocated; 36ms collecting garbage

Pruning

44 alts after pruning (39 fresh and 5 done)

	Pruned	Kept	Total
New	469	19	488
Fresh	5	20	25
Picked	3	2	5
Done	0	3	3
Total	477	44	521

Accuracy

100.0%

Counts

521 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.3%	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
▶	54.0%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓	54.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	52.7%	(-.f64 (cos.f64 (+.f64 x eps)) #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))))
	82.4%	(.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))))
	12.8%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps)))
▶	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (.f64 (fma.f64 eps (fma.f64 #s(approx (* (cos x) eps) 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)))
	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (.f64 (fma.f64 eps #s(approx (+ (* (* (cos x) eps) 1/24) (* (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))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps)))
✓	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps)))
	97.8%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (.f64 (.f64 #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))) eps) #s(literal -1/2 binary64)) eps)))
▶	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) eps)))
	13.1%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (cos.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps)))
	52.0%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	52.0%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
	99.3%	#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))
	99.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 #s(approx (* 1/24 (cos x)) #s(literal 1/24 binary64)) eps (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
	98.8%	#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 (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))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 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))
✓	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	97.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #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))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #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))) eps) #s(literal -1/2 binary64)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) eps))
	98.2%	#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))) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
	97.9%	#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))
	98.2%	#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 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	97.8%	#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))
	98.2%	#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))
▶	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) eps))
	78.8%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	96.7%	#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 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (.f64 #s(approx (+ (* (* eps eps) 1/24) -1/2) #s(literal -1/2 binary64)) eps))) eps))
	97.0%	#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)) (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))
	53.3%	#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 (+ (* (* eps eps) 1/6) -1) (.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))) eps))
	96.7%	#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 (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) eps (neg.f64 x)))) eps))
	96.7%	#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 (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))) eps))
	52.3%	#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 (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (*.f64 eps eps) eps) #s(literal 1/24 binary64)))) eps))
	3.7%	#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 (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (neg.f64 eps) (.f64 eps eps)) (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64))))) eps))
▶	77.5%	#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 (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg.f64 x))) eps))
	96.9%	#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))
	96.7%	#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))
	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #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)))) eps))
	53.3%	#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))
	97.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (neg (sin x)) eps) (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 (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)))))
	97.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	96.9%	#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)))))

Compiler

Compiled 2 125 to 1 964 computations (7.6% saved)

series51.0ms (0.5%)

Memory

14.0MiB live, 59.0MiB allocated; 7ms collecting garbage

Counts

43 → 235

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (+ (* (neg (sin x)) eps) (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps)) (neg (sin x)) (sin x) x eps (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps) (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6)) (* (cos x) eps) 1/24 (* (sin x) 1/6) 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (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 eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg 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) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) 1 (- (cos (+ x eps)) (cos x)) (+ (* (neg (sin x)) eps) (* (* (* (cos x) eps) -1/2) eps)) (* (* (* (cos x) eps) -1/2) eps) (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (cos (+ x eps)) (+ x eps) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2)
4.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (+ (* (neg (sin x)) eps) (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps)) (neg (sin x)) (sin x) x eps (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps) (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6)) (* (cos x) eps) 1/24 (* (sin x) 1/6) 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (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 eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg 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) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) 1 (- (cos (+ x eps)) (cos x)) (+ (* (neg (sin x)) eps) (* (* (* (cos x) eps) -1/2) eps)) (* (* (* (cos x) eps) -1/2) eps) (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (cos (+ x eps)) (+ x eps) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2)
4.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (+ (* (neg (sin x)) eps) (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps)) (neg (sin x)) (sin x) x eps (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps) (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6)) (* (cos x) eps) 1/24 (* (sin x) 1/6) 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (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 eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg 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) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) 1 (- (cos (+ x eps)) (cos x)) (+ (* (neg (sin x)) eps) (* (* (* (cos x) eps) -1/2) eps)) (* (* (* (cos x) eps) -1/2) eps) (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (cos (+ x eps)) (+ x eps) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2)
4.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (+ (* (neg (sin x)) eps) (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps)) (neg (sin x)) (sin x) x eps (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps) (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6)) (* (cos x) eps) 1/24 (* (sin x) 1/6) 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (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 eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg 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) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) 1 (- (cos (+ x eps)) (cos x)) (+ (* (neg (sin x)) eps) (* (* (* (cos x) eps) -1/2) eps)) (* (* (* (cos x) eps) -1/2) eps) (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (cos (+ x eps)) (+ x eps) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2)
3.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (+ (* (neg (sin x)) eps) (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps)) (neg (sin x)) (sin x) x eps (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps) (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6)) (* (cos x) eps) 1/24 (* (sin x) 1/6) 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (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 eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg 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) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) 1 (- (cos (+ x eps)) (cos x)) (+ (* (neg (sin x)) eps) (* (* (* (cos x) eps) -1/2) eps)) (* (* (* (cos x) eps) -1/2) eps) (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (cos (+ x eps)) (+ x eps) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2)

rewrite209.0ms (2.1%)

Memory

-6.9MiB live, 270.0MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	874	7256
0	916	6979
1	5579	6979
0	8280	6461

Stop Event

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

Counts

278 → 411

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (.f64 eps (+.f64 (neg.f64 (sin.f64 x)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx ( (cos x) eps) eps))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))))
(.f64 eps (+.f64 (neg.f64 (sin.f64 x)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx ( (cos x) eps) eps))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (neg.f64 eps) (sin.f64 x))) (.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx (* (cos x) eps) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx (* (cos x) eps) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)))) (-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx ( (cos x) eps) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps))))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx ( (cos x) eps) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx ( (cos x) eps) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx (* (cos x) eps) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps))) (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx (* (cos x) eps) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps))))))
(fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1 binary64) (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx ( (cos x) eps) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)))
(fma.f64 (neg.f64 eps) (sin.f64 x) (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx (* (cos x) eps) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)))
(fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx (* (cos x) eps) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)))
(fma.f64 #s(literal -1 binary64) (.f64 (sin.f64 x) eps) (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx ( (cos x) eps) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)))
(fma.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx (* (cos x) eps) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx ( (cos x) eps) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 eps (neg.f64 (sin.f64 x)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx (* (cos x) eps) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)))
(fma.f64 eps (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx (* (cos x) eps) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx (* (cos x) eps) eps))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) eps))
(+.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx ( (cos x) eps) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)))
(+.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx (* (cos x) eps) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal -1 binary64))
(neg.f64 (sin.f64 x))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (PI.f64)))
(sin.f64 (neg.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 (PI.f64)) (*.f64 (cos.f64 x) (sin.f64 (PI.f64))))
(-.f64 (.f64 #s(literal 0 binary64) (cos.f64 x)) (.f64 #s(literal 1 binary64) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) #s(literal 0 binary64)) (.f64 (sin.f64 x) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 (.f64 (sin.f64 x) (cos.f64 (PI.f64))) (.f64 (cos.f64 x) (sin.f64 (PI.f64))))
(sin.f64 x)
x
eps
(.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx ( (cos x) eps) eps))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps)
(.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx (* (cos x) eps) eps))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps))
(.f64 eps (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx ( (cos x) eps) eps))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
(.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) #s(approx (* (cos x) eps) eps))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
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(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
(/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps)) (fma.f64 x x (-.f64 (.f64 eps eps) (*.f64 eps x))))
(+.f64 eps x)
(+.f64 x eps)
(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 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 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 (- (cos (+ x eps)) (sin (+ x (/ (PI) 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 (fma.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/6 binary64) (neg.f64 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 (+.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/6 binary64))) (neg.f64 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 (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 (.f64 eps eps) eps) (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 eps eps))) x (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/6 binary64))) (neg.f64 eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))))
#s(approx (neg (sin x)) (neg.f64 x))
#s(approx (neg (sin x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x))
#s(approx (neg (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 (neg (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 (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (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 x x)
#s(approx (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 eps eps)))
#s(approx (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps) (fma.f64 (.f64 (.f64 (.f64 eps eps) eps) x) #s(literal 1/6 binary64) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))))
#s(approx (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/6 binary64))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 eps eps))))
#s(approx (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) eps) x) #s(literal -1/36 binary64) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 eps eps))) x (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/6 binary64))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (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 (+ (* (* (cos x) eps) 1/24) (* (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 (+ (* (* (cos x) eps) 1/24) (* (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 (+ (* (* (cos x) eps) 1/24) (* (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 (+ (* (* (cos x) eps) 1/24) (* (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 (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (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 (+ (* (* (cos x) eps) 1/24) (* (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 (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6)) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6)) (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (+ (* (* (cos x) eps) 1/24) (* (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 (+ (* (* (cos x) eps) 1/24) (* (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 (* (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 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#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 (* -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 (sin (+ x (/ (PI) 2))) #s(literal 1 binary64))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 (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 (* (- (* (+ (* 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 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) 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 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps (.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)))) 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 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.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 eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))
#s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (fma.f64 (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 (neg x) (neg.f64 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 (.f64 eps eps) x) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.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 #s(literal 1/1440 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/48 binary64) eps)) (.f64 #s(literal 1/4 binary64) eps)) (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) x)
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/6 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 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 (.f64 eps eps) x) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.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) eps) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (* (* (cos x) eps) -1/2) eps) (fma.f64 (.f64 (.f64 x x) (.f64 eps eps)) #s(literal 1/4 binary64) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (* (* (cos x) eps) -1/2) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) (.f64 eps eps)) #s(literal -1/48 binary64) (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (* (* (cos x) eps) -1/2) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/1440 binary64) (.f64 eps eps)) (.f64 x x) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) (.f64 x x) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (cos.f64 eps) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (fma.f64 (neg.f64 x) (+.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (fma.f64 (-.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 eps)) x (cos.f64 eps)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (fma.f64 (-.f64 (-.f64 (.f64 (fma.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) (+.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 eps))) (.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 eps)) x (cos.f64 eps)) (sin.f64 (*.f64 (PI.f64) #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 (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (sin (+ x (/ (PI) 2))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 x (fma.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ x (/ (PI) 2))) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -1/6 binary64) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ x (/ (PI) 2)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 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 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps)) eps)) eps) (sin.f64 x)) eps))
#s(approx (neg (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps)) eps)) (*.f64 eps eps)))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps)) eps)) eps))
#s(approx (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps)) eps)))
#s(approx (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6)) (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps)))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (sin x) 1/6) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (sin (+ x (/ (PI) 2))) (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 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps)) eps)) 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 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps)) eps)) eps) (sin.f64 x)))
#s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) x))
#s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (-.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps) x)) #s(literal 1 binary64)) 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 (* (+ (* -1/6 (* x x)) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* -1/6 (* x x)) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (+ (* -1/6 (* x x)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 (.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64) (*.f64 (neg.f64 eps) (sin.f64 x))))
#s(approx (* (* (* (cos x) eps) -1/2) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64)))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) x)
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (sin (+ x (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
#s(approx (+ x (/ (PI) 2)) x)
#s(approx (+ x (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (cos.f64 (-.f64 (neg.f64 x) eps)) (cos.f64 x)))
#s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps) x)) (neg.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (neg.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (.f64 x x) x))))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (cos.f64 (-.f64 (neg.f64 x) eps)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 x)))))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 (neg.f64 x) eps)))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (sin (+ x (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 x))))
#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 (+ x eps)) (sin (+ x (/ (PI) 2)))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 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 (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps)) eps)) 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 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps)) eps)) eps) (sin.f64 x)) eps))
#s(approx eps eps)
#s(approx (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64)))
#s(approx (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps eps)))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (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 (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (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 (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
#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 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps)) eps)) 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 eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg.f64 x))
#s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) eps (neg.f64 x)))
#s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) eps #s(literal -1/2 binary64)) eps (neg.f64 x)))
#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 (* (- (* (* (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)) (sin (+ x (/ (PI) 2)))) (-.f64 (cos.f64 x) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (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)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#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 (* (- (* (+ (* 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 (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))) (cos.f64 x)))
#s(approx (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) 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 (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) 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 (+ (* (* (cos x) eps) 1/24) (* (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 (+ (* (* (cos x) eps) 1/24) (* (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 1/24 binary64) (cos.f64 x))) (.f64 (.f64 eps eps) eps)))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos 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) eps)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal 1/24 binary64)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (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 (+ (* (* (cos x) eps) 1/24) (* (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 (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6)) (.f64 (.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps))
#s(approx (+ (* (* (cos x) eps) 1/24) (* (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 (* (- (* (+ (* 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 (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) (sin x)) (.f64 (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (.f64 (*.f64 eps eps) eps)))
#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 eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (*.f64 eps eps) eps) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (.f64 (*.f64 eps eps) eps)))
#s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) (/.f64 (neg.f64 x) (.f64 (.f64 eps eps) eps))) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64)))
#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 (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64)))
#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 (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (cos.f64 (-.f64 (neg.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 (fma.f64 (cos.f64 x) #s(literal 1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* 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))))
#s(approx (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal 1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (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 (+ (* (* (cos x) eps) 1/24) (* (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 (+ (* (* (cos x) eps) 1/24) (* (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 (+ (* (* (cos x) eps) 1/24) (* (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 (* (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal 1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* 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))))
#s(approx (- (* (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (neg.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/24 binary64) (cos.f64 x))) (.f64 (.f64 eps eps) eps))))
#s(approx (- (* (+ (* 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 eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal -1/6 binary64) #s(literal -1/24 binary64)) (.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64)) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) x (neg.f64 (/.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))) eps)) #s(literal 1/24 binary64)) (.f64 (*.f64 eps eps) eps))))
#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 (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (-.f64 (cos.f64 (-.f64 (neg.f64 eps) x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 (neg.f64 eps) x)))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))

eval74.0ms (0.8%)

Memory: -12.5MiB live, 88.9MiB allocated; 18ms collecting garbage
Compiler: Compiled 5 738 to 2 019 computations (64.8% saved)

prune58.0ms (0.6%)

Memory

53.6MiB live, 94.9MiB allocated; 20ms collecting garbage

Pruning

48 alts after pruning (40 fresh and 8 done)

	Pruned	Kept	Total
New	385	13	398
Fresh	7	27	34
Picked	2	3	5
Done	0	5	5
Total	394	48	442

Accuracy

100.0%

Counts

442 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.3%	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	54.0%	(-.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
	54.0%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
✓	54.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	52.7%	(-.f64 (cos.f64 (+.f64 x eps)) #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))))
	82.4%	(.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))))
	99.3%	#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 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))
	78.8%	#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (*.f64 (neg.f64 eps) (sin.f64 x)))
	12.8%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps)))
	12.1%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 (+.f64 x (PI.f64))) eps (.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) eps)))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (.f64 (fma.f64 eps (fma.f64 #s(approx (* (cos x) eps) eps) #s(literal 1/24 binary64) #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))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps)))
	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (.f64 (fma.f64 eps (fma.f64 #s(approx (* (cos x) eps) eps) #s(literal 1/24 binary64) #s(approx (* (sin x) 1/6) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps)))
✓	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps)))
	97.8%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (.f64 (.f64 #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))) eps) #s(literal -1/2 binary64)) eps)))
✓	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) eps)))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (neg.f64 #s(approx (sin x) x)) eps (.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) eps)))
	13.1%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (cos.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps)))
	97.2%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (neg (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)) eps (.f64 (.f64 #s(approx ( (cos x) eps) eps) #s(literal -1/2 binary64)) eps)))
	52.0%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	52.0%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
	98.8%	#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 (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))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 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))
✓	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	97.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #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))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #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))) eps) #s(literal -1/2 binary64)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) eps))
	98.2%	#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))) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
	97.9%	#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))
	98.2%	#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 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	97.8%	#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))
	98.2%	#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))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) #s(approx (sin x) (fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) eps))
✓	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) eps))
	47.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x))) x))) eps))
	53.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))))) eps))
	96.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x))) eps))
	96.7%	#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 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (.f64 #s(approx (+ (* (* eps eps) 1/24) -1/2) #s(literal -1/2 binary64)) eps))) eps))
	97.0%	#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)) (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))
	53.3%	#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 (+ (* (* eps eps) 1/6) -1) (.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))) eps))
	96.7%	#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 (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) eps (neg.f64 x)))) eps))
	52.3%	#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 (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (*.f64 eps eps) eps) #s(literal 1/24 binary64)))) eps))
	3.7%	#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 (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (neg.f64 eps) (.f64 eps eps)) (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64))))) eps))
✓	77.5%	#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 (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg.f64 x))) eps))
	96.9%	#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))
	96.7%	#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))
	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #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)))) eps))
	53.3%	#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))
	97.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (neg (sin x)) eps) (* (* (+ (* eps (+ (* (* (cos x) eps) 1/24) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 (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)))))

Compiler

Compiled 2 057 to 1 547 computations (24.8% saved)

regimes111.0ms (1.1%)

Memory

-27.8MiB live, 72.1MiB allocated; 42ms collecting garbage

Counts

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

Outputs

#s(approx (- (cos (+ x eps)) (cos 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)))

Calls

3 calls:

52.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
16.0ms	x
16.0ms	eps

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes87.0ms (0.9%)

Memory

2.1MiB live, 94.8MiB allocated; 10ms collecting garbage

Counts

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

Outputs

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

Calls

3 calls:

36.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
31.0ms	eps
16.0ms	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)

regimes64.0ms (0.7%)

Memory

-8.6MiB live, 92.1MiB allocated; 30ms collecting garbage

Counts

65 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

27.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
19.0ms	eps
15.0ms	x

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes47.0ms (0.5%)

Memory

1.9MiB live, 95.0MiB allocated; 7ms collecting garbage

Counts

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

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

Calls

3 calls:

17.0ms	eps
15.0ms	x
12.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.3%	1	`x`
99.3%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes45.0ms (0.5%)

Memory

27.1MiB live, 72.4MiB allocated; 3ms collecting garbage

Counts

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

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

Calls

3 calls:

17.0ms	x
14.0ms	eps
11.0ms	(-.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)

regimes76.0ms (0.8%)

Memory

-3.1MiB live, 50.0MiB allocated; 4ms collecting garbage

Counts

51 → 1

Calls

Call 1

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

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

Calls

3 calls:

53.0ms	eps
12.0ms	x
9.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes41.0ms (0.4%)

Memory

-24.4MiB live, 67.1MiB allocated; 6ms collecting garbage

Counts

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

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

Calls

3 calls:

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

regimes26.0ms (0.3%)

Memory

3.8MiB live, 47.8MiB 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 (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (*.f64 #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)) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 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)) #s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (*.f64 eps eps) eps) #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 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (neg.f64 #s(approx (sin x) x)) eps (.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) 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 (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))))) 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)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (.f64 #s(approx (+ (* (* eps eps) 1/24) -1/2) #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)) #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) eps) #s(literal -1/2 binary64)) #s(approx (sin x) (fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) eps))
#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 (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (+ (* (* eps eps) 1/6) -1) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (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)) #s(approx (sin x) (.f64 #s(approx (+ ( -1/6 (* x x)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x))) 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)) (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))) 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 (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (neg.f64 eps) (.f64 eps eps)) (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (neg (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)) eps (.f64 (.f64 #s(approx ( (cos x) eps) eps) #s(literal -1/2 binary64)) eps)))
#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 (.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 (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) #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)) #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)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 #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 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ x (/ (PI) 2)))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #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))) eps) #s(literal -1/2 binary64)) #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) eps) #s(literal -1/2 binary64)) (sin.f64 x)) 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:

11.0ms	x
8.0ms	eps
6.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
98.2%	1	`x`
98.2%	1	`eps`
98.2%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes26.0ms (0.3%)

Memory

-10.5MiB live, 44.7MiB allocated; 4ms collecting garbage

Counts

31 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

9.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
8.0ms	eps
8.0ms	x

Results

Accuracy	Segments	Branch
97.2%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.2%	1	`x`
97.2%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes17.0ms (0.2%)

Memory

37.2MiB live, 37.2MiB allocated; 0ms collecting garbage

Counts

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

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

Results

Accuracy	Segments	Branch
96.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.9%	1	`x`
96.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes16.0ms (0.2%)

Memory

-15.5MiB live, 31.4MiB allocated; 2ms 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 (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (*.f64 #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)) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 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)) #s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (*.f64 eps eps) eps) #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 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (neg.f64 #s(approx (sin x) x)) eps (.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) 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 (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64))))) 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)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (.f64 #s(approx (+ (* (* eps eps) 1/24) -1/2) #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)) #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) eps) #s(literal -1/2 binary64)) #s(approx (sin x) (fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) eps))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (neg.f64 #s(approx (sin x) x)) eps (.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) 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
96.9%	1	`x`
96.9%	1	`eps`
96.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes11.0ms (0.1%)

Memory

-24.2MiB live, 22.4MiB allocated; 3ms 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 (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (*.f64 #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)) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* eps (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6))) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 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)) #s(approx (+ (* (+ (* (* eps eps) 1/6) -1) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (*.f64 eps eps) eps) #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 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))

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:

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

Results

Accuracy	Segments	Branch
96.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.9%	1	`x`
96.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated; 0ms collecting garbage

Counts

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x))) 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
96.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.7%	1	`x`
96.7%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
77.5%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
77.5%	1	`x`
77.5%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0%)

Memory

-38.9MiB live, 8.6MiB allocated; 1ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
52.0%	1	`eps`
52.0%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
52.0%	1	`x`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations556.0ms (5.6%)

Memory

47.7MiB live, 401.3MiB allocated; 80ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 193 to 131 computations (32.1% saved)

preprocess156.0ms (1.6%)

Memory: 0.2MiB live, 187.5MiB allocated; 60ms collecting garbage
Compiler: Compiled 227 to 162 computations (28.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze38.0ms (0.4%)

sample7.0s (70.4%)

preprocess42.0ms (0.4%)

series5.0ms (0%)

rewrite216.0ms (2.2%)

eval11.0ms (0.1%)

prune9.0ms (0.1%)

series41.0ms (0.4%)

rewrite258.0ms (2.6%)

eval78.0ms (0.8%)

prune31.0ms (0.3%)

series34.0ms (0.3%)

rewrite254.0ms (2.6%)

eval140.0ms (1.4%)

prune80.0ms (0.8%)

series51.0ms (0.5%)

rewrite209.0ms (2.1%)

eval74.0ms (0.8%)

prune58.0ms (0.6%)

regimes111.0ms (1.1%)

regimes87.0ms (0.9%)

regimes64.0ms (0.7%)

regimes47.0ms (0.5%)

regimes45.0ms (0.5%)

regimes76.0ms (0.8%)

regimes41.0ms (0.4%)

regimes26.0ms (0.3%)

regimes26.0ms (0.3%)

regimes17.0ms (0.2%)

regimes16.0ms (0.2%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

derivations556.0ms (5.6%)

preprocess156.0ms (1.6%)

end0.0ms (0%)

Profiling