Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze66.0ms (0.7%)

Memory

2.7MiB live, 51.8MiB allocated; 36ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.7s (76.7%)

Memory

86.6MiB live, 6 353.4MiB allocated; 2.4s collecting garbage

Samples

2.8s	5 786×	2	valid
2.3s	25 890×	0	invalid
402.0ms	2 411×	1	valid
6.0ms	59×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.1s

ival-cos: 2.8s (67.9% of total)

adjust: 389.0ms (9.5% of total)

ival-fabs: 285.0ms (7% of total)

ival-add!: 179.0ms (4.4% of total)

ival-<: 143.0ms (3.5% of total)

ival-mult!: 127.0ms (3.1% of total)

ival-sub!: 112.0ms (2.7% of total)

ival-and: 62.0ms (1.5% of total)

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

Bogosity

preprocess44.0ms (0.5%)

Memory

5.9MiB live, 51.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	48
1	106	48
2	654	44
3	3748	44

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series11.0ms (0.1%)

Memory

-36.1MiB live, 10.0MiB allocated; 5ms collecting garbage

Counts

6 → 33

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 (+ 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) (* -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 (+ 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
5.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))

rewrite138.0ms (1.6%)

Memory

19.1MiB live, 157.4MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	529
0	150	513
1	880	510
0	8200	489

Stop Event

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

Counts

39 → 110

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

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

eval10.0ms (0.1%)

Memory: 20.2MiB live, 20.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 126 to 429 computations (61.9% saved)

prune11.0ms (0.1%)

Memory

-21.5MiB live, 25.7MiB allocated; 1ms collecting garbage

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	88	14	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	15	103

Accuracy

99.8%

Counts

103 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.5%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
▶	46.3%	(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	46.5%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
	46.5%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	46.3%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
▶	46.4%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓	46.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	44.3%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	44.4%	(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
	80.1%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
▶	44.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
	98.9%	#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))
▶	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
	74.5%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Compiler

Compiled 362 to 348 computations (3.9% saved)

series137.0ms (1.6%)

Memory

27.0MiB live, 136.1MiB allocated; 58ms collecting garbage

Counts

46 → 216

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2)))))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x)))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/48 (* (pow eps 2) x)) (* 1/6 eps))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* -1/48 (* eps (pow x 2))) (* 1/24 eps))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/576 (* eps (pow x 2))))))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* (pow x 2) (+ (* -1/17280 (* eps (pow x 2))) (* 1/576 eps))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (cos eps) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (+ (sin eps) (* -1 (cos (* 1/2 (PI)))))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (* -1/2 (cos eps)) (* -1/2 (sin (* 1/2 (PI)))))) (+ (sin eps) (* -1 (cos (* 1/2 (PI)))))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (sin eps)) (* 1/6 (cos (* 1/2 (PI))))))) (* -1/2 (cos eps))) (* -1/2 (sin (* 1/2 (PI)))))) (+ (sin eps) (* -1 (cos (* 1/2 (PI)))))))) (sin (* 1/2 (PI))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (* x (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (+ (* -1 x) (* 1/2 (PI)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 eps))) 1/2) (+ 1 (cos eps)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (- (+ (* 1/2 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (* x (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* 1/2 (/ 1 (+ 1 (cos eps)))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (- (+ (* 1/2 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (* x (- (+ (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* x (- (+ (* -1 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (/ 1 (+ 1 (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (/ (* (- (* -1/2 (cos eps)) 1/2) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* 1/2 (/ 1 (+ 1 (cos eps)))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (- (+ (* 1/2 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (* x (- (+ (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* x (- (+ (* -1 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (+ (* x (- (* 2/3 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (+ (* -1 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (/ 1 (+ 1 (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (/ (* (- (* -1/2 (cos eps)) 1/2) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (+ (* 1/6 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))) (/ (* (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))) (- (* -1/2 (cos eps)) 1/2)) (+ 1 (cos eps))))))) (/ 1 (+ 1 (cos eps))))) (+ (* -1 (/ (* (sin eps) (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (/ (* (- (* -1/2 (cos eps)) 1/2) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* 1/2 (/ 1 (+ 1 (cos eps)))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 eps))) 1/2)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ (* -1 (* x (sin (* 2 eps)))) (* 1/2 (cos (* 2 eps)))) 1/2)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* x (+ 1 (* -1 (cos (* 2 eps)))))))) 1/2)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* x (+ 1 (+ (* -1 (cos (* 2 eps))) (* 2/3 (* x (sin (* 2 eps)))))))))) 1/2)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 eps))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (+ 1/2 (+ (* -1 (* x (sin (* 2 eps)))) (* 1/2 (cos (* 2 eps)))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (+ 1/2 (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* -1 (* x (cos (* 2 eps))))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (+ 1/2 (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* x (+ (* -1 (cos (* 2 eps))) (* 2/3 (* x (sin (* 2 eps))))))))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (* 1/2 (cos (* 2 eps)))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* -1 (* x (sin (* 2 eps)))) (* 1/2 (cos (* 2 eps))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* -1 (* x (cos (* 2 eps)))))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* x (+ (* -1 (cos (* 2 eps))) (* 2/3 (* x (sin (* 2 eps)))))))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (cos (* 2 eps))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 eps)) (* -2 (* x (sin (* 2 eps)))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 eps)) (* x (- (* -2 (* x (cos (* 2 eps)))) (* 2 (sin (* 2 eps))))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 eps)) (* x (- (* x (+ (* -2 (cos (* 2 eps))) (* 4/3 (* x (sin (* 2 eps)))))) (* 2 (sin (* 2 eps))))))))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (* 2 eps)))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (+ (* 2 eps) (* 2 x))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (cos eps))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (+ (cos eps) (* -1 (* x (sin eps)))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (+ (cos eps) (* x (- (* x (- (* -1/2 (cos eps)) 1/2)) (sin eps)))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (+ (cos eps) (* x (- (* x (- (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))) 1/2)) (sin eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (* 1/24 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (cos (+ eps x)) (sin (- (* 1/2 (PI)) x)))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) x))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) 1))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (+ eps x))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 (+ eps x)))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (* 1/2 (cos (* 2 (+ eps x))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (cos (* 2 (+ eps x)))))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (* x (+ 2 (* 2 (/ eps x))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos x) (cos (+ eps x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (cos (- eps (* -1 x))) (sin (+ (* -1 x) (* 1/2 (PI)))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (sin (+ (* -1 x) (* 1/2 (PI))))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ (PI) x)))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 (- eps (* -1 x))))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (- eps (* -1 x)))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 (- eps (* -1 x))))) (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 (- eps (* -1 x))))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (* 1/2 (cos (* 2 (- eps (* -1 x)))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (cos (* 2 (- eps (* -1 x))))))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (* -1 (* x (- (* -2 (/ eps x)) 2)))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos x) (cos (- eps (* -1 x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 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 (* -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) (* -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)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (cos x) (sin (- (* 1/2 (PI)) x)))))
#s(approx (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (+ (cos x) (* -1 (* eps (sin x)))) (sin (- (* 1/2 (PI)) x)))))
#s(approx (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (sin (- (* 1/2 (PI)) x)))))
#s(approx (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (sin (- (* 1/2 (PI)) x)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (* -1/2 (/ (* eps (sin (* 2 x))) (cos x)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin (* 2 x)) (cos x))) (* eps (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin (* 2 x)) (cos x))) (* eps (- (+ (* -1/2 (/ (cos (* 2 x)) (cos x))) (* eps (- (* 1/3 (/ (sin (* 2 x)) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (cos x))) (* 1/8 (/ (sin (* 2 x)) (cos x))))))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin (* 2 x)) (cos x))) (* eps (- (+ (* -1/2 (/ (cos (* 2 x)) (cos x))) (* eps (- (+ (* 1/3 (/ (sin (* 2 x)) (cos x))) (* eps (- (* 1/6 (/ (cos (* 2 x)) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* 1/3 (/ (sin (* 2 x)) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (cos x))) (* 1/8 (/ (sin (* 2 x)) (cos x)))))) (cos x))) (+ (* -1/4 (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (* -1/24 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))) (+ (* -1/2 (/ (* (sin x) (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (cos x))) (* 1/8 (/ (sin (* 2 x)) (cos x))))))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* -1 (* eps (sin (* 2 x))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* eps (+ (* -1 (sin (* 2 x))) (* -1 (* eps (cos (* 2 x))))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* eps (+ (* -1 (sin (* 2 x))) (* eps (+ (* -1 (cos (* 2 x))) (* 2/3 (* eps (sin (* 2 x))))))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* eps (+ (* -1 (sin (* 2 x))) (* eps (+ (* -1 (cos (* 2 x))) (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x)))))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (+ 1/2 (+ (* -1 (* eps (sin (* 2 x)))) (* 1/2 (cos (* 2 x)))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (+ 1/2 (+ (* 1/2 (cos (* 2 x))) (* eps (+ (* -1 (sin (* 2 x))) (* -1 (* eps (cos (* 2 x))))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (+ 1/2 (+ (* 1/2 (cos (* 2 x))) (* eps (+ (* -1 (sin (* 2 x))) (* eps (+ (* -1 (cos (* 2 x))) (* 2/3 (* eps (sin (* 2 x))))))))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* -1 (* eps (sin (* 2 x)))) (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* 1/2 (cos (* 2 x))) (* eps (+ (* -1 (sin (* 2 x))) (* -1 (* eps (cos (* 2 x)))))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* 1/2 (cos (* 2 x))) (* eps (+ (* -1 (sin (* 2 x))) (* eps (+ (* -1 (cos (* 2 x))) (* 2/3 (* eps (sin (* 2 x)))))))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 x)) (* -2 (* eps (sin (* 2 x)))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 x)) (* eps (- (* -2 (* eps (cos (* 2 x)))) (* 2 (sin (* 2 x))))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 x)) (* eps (- (* eps (+ (* -2 (cos (* 2 x))) (* 4/3 (* eps (sin (* 2 x)))))) (* 2 (sin (* 2 x))))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (* 2 (cos x))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* -1 (* eps (sin x))) (* 2 (cos x)))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* 2 (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* 2 (cos x)) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (* eps (+ 2 (* 2 (/ x eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (cos (- x (* -1 eps))) (sin (- (* 1/2 (PI)) x)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 (- x (* -1 eps))))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (- x (* -1 eps)))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 (- x (* -1 eps))))) (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 (- x (* -1 eps))))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (* 1/2 (cos (* 2 (- x (* -1 eps)))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (cos (* 2 (- x (* -1 eps))))))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 2)))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos x) (cos (- x (* -1 eps))))))

Calls

6 calls:

Time	Variable		Point	Expression
69.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) (cos (+ x eps)) (+ x eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (neg x) (/ (PI) 2) (PI) 2 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) 1/2 (* 1/2 (cos (* 2 (+ eps x)))) (cos (* 2 (+ eps x))) (* 2 (+ eps x)) (+ eps x) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (+ (cos x) (cos (+ eps x))) (cos (+ eps x)))
10.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) (cos (+ x eps)) (+ x eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (neg x) (/ (PI) 2) (PI) 2 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) 1/2 (* 1/2 (cos (* 2 (+ eps x)))) (cos (* 2 (+ eps x))) (* 2 (+ eps x)) (+ eps x) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (+ (cos x) (cos (+ eps x))) (cos (+ eps x)))
8.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) (cos (+ x eps)) (+ x eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (neg x) (/ (PI) 2) (PI) 2 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) 1/2 (* 1/2 (cos (* 2 (+ eps x)))) (cos (* 2 (+ eps x))) (* 2 (+ eps x)) (+ eps x) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (+ (cos x) (cos (+ eps x))) (cos (+ eps x)))
6.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) (cos (+ x eps)) (+ x eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (neg x) (/ (PI) 2) (PI) 2 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) 1/2 (* 1/2 (cos (* 2 (+ eps x)))) (cos (* 2 (+ eps x))) (* 2 (+ eps x)) (+ eps x) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (+ (cos x) (cos (+ eps x))) (cos (+ eps x)))
5.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) (cos (+ x eps)) (+ x eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (neg x) (/ (PI) 2) (PI) 2 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) 1/2 (* 1/2 (cos (* 2 (+ eps x)))) (cos (* 2 (+ eps x))) (* 2 (+ eps x)) (+ eps x) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x) (+ (cos x) (cos (+ eps x))) (cos (+ eps x)))

rewrite249.0ms (2.8%)

Memory

20.4MiB live, 160.4MiB allocated; 92ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	967	7045
0	1033	6440
1	6130	6440
0	8006	6207

Stop Event

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

Counts

262 → 479

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x))
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(cos.f64 x)
x
#s(literal -1/2 binary64)
(.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(sin.f64 x)
#s(literal 1/6 binary64)
(.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))
(*.f64 (cos.f64 x) eps)
eps
#s(literal 1/24 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
#s(literal 1 binary64)
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
(cos.f64 #s(approx (+ x eps) eps))
#s(approx (+ x eps) eps)
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 x)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x)))))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))
(*.f64 #s(literal 2 binary64) (+.f64 eps x))
(+.f64 eps x)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))
(cos.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2)))))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x)))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/48 (* (pow eps 2) x)) (* 1/6 eps))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* -1/48 (* eps (pow x 2))) (* 1/24 eps))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/576 (* eps (pow x 2))))))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* (pow x 2) (+ (* -1/17280 (* eps (pow x 2))) (* 1/576 eps))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (cos eps) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (+ (sin eps) (* -1 (cos (* 1/2 (PI)))))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (* -1/2 (cos eps)) (* -1/2 (sin (* 1/2 (PI)))))) (+ (sin eps) (* -1 (cos (* 1/2 (PI)))))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (sin eps)) (* 1/6 (cos (* 1/2 (PI))))))) (* -1/2 (cos eps))) (* -1/2 (sin (* 1/2 (PI)))))) (+ (sin eps) (* -1 (cos (* 1/2 (PI)))))))) (sin (* 1/2 (PI))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (* x (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (+ (* -1 x) (* 1/2 (PI)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 eps))) 1/2) (+ 1 (cos eps)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (- (+ (* 1/2 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (* x (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* 1/2 (/ 1 (+ 1 (cos eps)))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (- (+ (* 1/2 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (* x (- (+ (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* x (- (+ (* -1 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (/ 1 (+ 1 (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (/ (* (- (* -1/2 (cos eps)) 1/2) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* 1/2 (/ 1 (+ 1 (cos eps)))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (- (+ (* 1/2 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (* x (- (+ (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* x (- (+ (* -1 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (+ (* x (- (* 2/3 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (+ (* -1 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (/ 1 (+ 1 (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (/ (* (- (* -1/2 (cos eps)) 1/2) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (+ (* 1/6 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))) (/ (* (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))) (- (* -1/2 (cos eps)) 1/2)) (+ 1 (cos eps))))))) (/ 1 (+ 1 (cos eps))))) (+ (* -1 (/ (* (sin eps) (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (/ (* (- (* -1/2 (cos eps)) 1/2) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* 1/2 (/ 1 (+ 1 (cos eps)))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 eps))) 1/2)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ (* -1 (* x (sin (* 2 eps)))) (* 1/2 (cos (* 2 eps)))) 1/2)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* x (+ 1 (* -1 (cos (* 2 eps)))))))) 1/2)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* x (+ 1 (+ (* -1 (cos (* 2 eps))) (* 2/3 (* x (sin (* 2 eps)))))))))) 1/2)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 eps))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (+ 1/2 (+ (* -1 (* x (sin (* 2 eps)))) (* 1/2 (cos (* 2 eps)))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (+ 1/2 (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* -1 (* x (cos (* 2 eps))))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (+ 1/2 (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* x (+ (* -1 (cos (* 2 eps))) (* 2/3 (* x (sin (* 2 eps))))))))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (* 1/2 (cos (* 2 eps)))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* -1 (* x (sin (* 2 eps)))) (* 1/2 (cos (* 2 eps))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* -1 (* x (cos (* 2 eps)))))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* x (+ (* -1 (cos (* 2 eps))) (* 2/3 (* x (sin (* 2 eps)))))))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (cos (* 2 eps))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 eps)) (* -2 (* x (sin (* 2 eps)))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 eps)) (* x (- (* -2 (* x (cos (* 2 eps)))) (* 2 (sin (* 2 eps))))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 eps)) (* x (- (* x (+ (* -2 (cos (* 2 eps))) (* 4/3 (* x (sin (* 2 eps)))))) (* 2 (sin (* 2 eps))))))))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (* 2 eps)))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (+ (* 2 eps) (* 2 x))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (cos eps))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (+ (cos eps) (* -1 (* x (sin eps)))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (+ (cos eps) (* x (- (* x (- (* -1/2 (cos eps)) 1/2)) (sin eps)))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (+ (cos eps) (* x (- (* x (- (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))) 1/2)) (sin eps)))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (* 1/24 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (cos (+ eps x)) (sin (- (* 1/2 (PI)) x)))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) x))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) 1))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (+ eps x))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 (+ eps x)))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (* 1/2 (cos (* 2 (+ eps x))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (cos (* 2 (+ eps x)))))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (* x (+ 2 (* 2 (/ eps x))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x)))))
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos x) (cos (+ eps x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (cos (- eps (* -1 x))) (sin (+ (* -1 x) (* 1/2 (PI)))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (sin (+ (* -1 x) (* 1/2 (PI))))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ (PI) x)))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 (- eps (* -1 x))))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (- eps (* -1 x)))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 (- eps (* -1 x))))) (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 (- eps (* -1 x))))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (* 1/2 (cos (* 2 (- eps (* -1 x)))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (cos (* 2 (- eps (* -1 x))))))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (* -1 (* x (- (* -2 (/ eps x)) 2)))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos x) (cos (- eps (* -1 x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 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 (* -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) (* -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)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (cos x) (sin (- (* 1/2 (PI)) x)))))
#s(approx (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (+ (cos x) (* -1 (* eps (sin x)))) (sin (- (* 1/2 (PI)) x)))))
#s(approx (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (sin (- (* 1/2 (PI)) x)))))
#s(approx (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (sin (- (* 1/2 (PI)) x)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (* -1/2 (/ (* eps (sin (* 2 x))) (cos x)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin (* 2 x)) (cos x))) (* eps (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin (* 2 x)) (cos x))) (* eps (- (+ (* -1/2 (/ (cos (* 2 x)) (cos x))) (* eps (- (* 1/3 (/ (sin (* 2 x)) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (cos x))) (* 1/8 (/ (sin (* 2 x)) (cos x))))))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin (* 2 x)) (cos x))) (* eps (- (+ (* -1/2 (/ (cos (* 2 x)) (cos x))) (* eps (- (+ (* 1/3 (/ (sin (* 2 x)) (cos x))) (* eps (- (* 1/6 (/ (cos (* 2 x)) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* 1/3 (/ (sin (* 2 x)) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (cos x))) (* 1/8 (/ (sin (* 2 x)) (cos x)))))) (cos x))) (+ (* -1/4 (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (* -1/24 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))) (+ (* -1/2 (/ (* (sin x) (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (cos x))) (* 1/8 (/ (sin (* 2 x)) (cos x))))))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* -1 (* eps (sin (* 2 x))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* eps (+ (* -1 (sin (* 2 x))) (* -1 (* eps (cos (* 2 x))))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* eps (+ (* -1 (sin (* 2 x))) (* eps (+ (* -1 (cos (* 2 x))) (* 2/3 (* eps (sin (* 2 x))))))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* eps (+ (* -1 (sin (* 2 x))) (* eps (+ (* -1 (cos (* 2 x))) (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x)))))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (+ 1/2 (+ (* -1 (* eps (sin (* 2 x)))) (* 1/2 (cos (* 2 x)))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (+ 1/2 (+ (* 1/2 (cos (* 2 x))) (* eps (+ (* -1 (sin (* 2 x))) (* -1 (* eps (cos (* 2 x))))))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (+ 1/2 (+ (* 1/2 (cos (* 2 x))) (* eps (+ (* -1 (sin (* 2 x))) (* eps (+ (* -1 (cos (* 2 x))) (* 2/3 (* eps (sin (* 2 x))))))))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* -1 (* eps (sin (* 2 x)))) (* 1/2 (cos (* 2 x))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* 1/2 (cos (* 2 x))) (* eps (+ (* -1 (sin (* 2 x))) (* -1 (* eps (cos (* 2 x)))))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (+ (* 1/2 (cos (* 2 x))) (* eps (+ (* -1 (sin (* 2 x))) (* eps (+ (* -1 (cos (* 2 x))) (* 2/3 (* eps (sin (* 2 x)))))))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 x)) (* -2 (* eps (sin (* 2 x)))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 x)) (* eps (- (* -2 (* eps (cos (* 2 x)))) (* 2 (sin (* 2 x))))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (+ (cos (* 2 x)) (* eps (- (* eps (+ (* -2 (cos (* 2 x))) (* 4/3 (* eps (sin (* 2 x)))))) (* 2 (sin (* 2 x))))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (* 2 (cos x))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* -1 (* eps (sin x))) (* 2 (cos x)))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* 2 (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* 2 (cos x)) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (* eps (+ 2 (* 2 (/ x eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (- (cos (+ x eps)) (sin (+ (neg x) (/ (PI) 2)))) #s(hole binary64 (- (cos (- x (* -1 eps))) (sin (- (* 1/2 (PI)) x)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 (- x (* -1 eps))))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (- x (* -1 eps)))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 (- x (* -1 eps))))) (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) #s(hole binary64 (+ 1/2 (* 1/2 (cos (* 2 (- x (* -1 eps))))))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) #s(hole binary64 (* 1/2 (cos (* 2 (- x (* -1 eps)))))))
#s(approx (cos (* 2 (+ eps x))) #s(hole binary64 (cos (* 2 (- x (* -1 eps))))))
#s(approx (* 2 (+ eps x)) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 2)))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos x) (cos (- x (* -1 eps))))))

Outputs
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)))))
(-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x))
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)
(.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) eps))
(fma.f64 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 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) eps))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (-.f64 (.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)))))
(fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(fma.f64 eps (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (neg.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))) eps))
(-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (neg.f64 eps) (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))))
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(+.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)))
(fma.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 x) (*.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (neg.f64 x))))
(fma.f64 (sin.f64 (neg.f64 x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.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)))))
(+.f64 (.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 x)) (.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (neg.f64 x))))
(+.f64 (.f64 (sin.f64 (neg.f64 x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
#s(literal -1/2 binary64)
(.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)
(.f64 eps (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))))
(fma.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) eps (.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps))
(fma.f64 eps (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (.f64 eps (.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(+.f64 (.f64 eps (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) eps) (.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))) (-.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (.f64 (sin.f64 x) #s(literal -1/6 binary64)) (.f64 (sin.f64 x) #s(literal -1/6 binary64)))) (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 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))))))
(/.f64 (+.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))) (fma.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (sin.f64 x) #s(literal 1/6 binary64))))))
(/.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))) (fma.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (fma.f64 (.f64 (sin.f64 x) #s(literal -1/6 binary64)) (.f64 (sin.f64 x) #s(literal -1/6 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))))))
(fma.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(fma.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(-.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (neg.f64 (*.f64 (cos.f64 x) eps)) #s(literal 1/24 binary64)))
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal -1/6 binary64)))
(+.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(sin.f64 x)
#s(literal 1/6 binary64)
(.f64 (.f64 #s(literal 1/24 binary64) eps) (cos.f64 x))
(.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps))
(.f64 (cos.f64 x) (.f64 #s(literal 1/24 binary64) eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
eps
#s(literal 1/24 binary64)
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal 1 binary64)))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(sin.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
(+.f64 (.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 #s(approx (+ x eps) eps)) (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 #s(approx (+ x eps) eps)) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 #s(approx (+ x eps) eps)) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 #s(approx (+ x eps) eps)) x) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 #s(approx (+ x eps) eps) (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 #s(approx (+ x eps) eps) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 #s(approx (+ x eps) eps) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 #s(approx (+ x eps) eps) x) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 #s(approx (+ x eps) eps) (/.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 #s(approx (+ x eps) eps) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 #s(approx (+ x eps) eps) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 #s(approx (+ x eps) eps) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) #s(approx (+ x eps) eps))))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 #s(approx (+ x eps) eps)) #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) #s(approx (+ x eps) eps))))) (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x)))))
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
(sin.f64 (+.f64 #s(approx (+ x eps) eps) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 #s(approx (+ x eps) eps)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 #s(approx (+ x eps) eps)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 #s(approx (+ x eps) eps)))
(cos.f64 #s(approx (+ x eps) eps))
(+.f64 (.f64 (sin.f64 #s(approx (+ x eps) eps)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 #s(approx (+ x eps) eps)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (+ x eps) eps)
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) x) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))))
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(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 (-.f64 x x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)))) (cos.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x))) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (neg.f64 x))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) x)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) x))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))))
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
(+.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64))))
(+.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))
(sin.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (+.f64 x x)))
(cos.f64 (+.f64 x x))
(+.f64 (.f64 (sin.f64 (+.f64 x x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (+.f64 x x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(+.f64 x x)
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #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 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 (+.f64 eps x))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 x) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 x) (+.f64 eps x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 x (neg.f64 (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 x (neg.f64 (+.f64 eps x))) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) x) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 x (+.f64 eps x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (*.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64))) (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(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)))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(cos.f64 (neg.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(+.f64 (.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps 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 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (fma.f64 x (-.f64 (.f64 (+.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps) (.f64 (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) eps) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/36 binary64) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (.f64 eps x) #s(literal -1/36 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(literal 1 binary64))
#s(approx (sin (+ (neg x) (/ (PI) 2))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (sin (+ (neg x) (/ (PI) 2))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sin (+ (neg x) (/ (PI) 2))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/48 binary64) (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal -1/36 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 (fma.f64 (.f64 eps x) #s(literal -1/48 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/24 binary64) eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) x (.f64 #s(literal -1/48 binary64) eps)) x #s(literal 1/6 binary64)) x (.f64 #s(literal 1/24 binary64) eps)))
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/48 binary64) (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/48 binary64) eps)) (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/17280 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/576 binary64) eps)) (.f64 #s(literal -1/48 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)))
#s(approx (cos (+ x eps)) (fma.f64 x (-.f64 (.f64 (.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (cos (+ x eps)) (fma.f64 x (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) x) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (cos.f64 eps) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (fma.f64 (neg.f64 x) (+.f64 (neg.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 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.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) (sin.f64 eps)) (neg.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) x (cos.f64 eps)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (fma.f64 (-.f64 (-.f64 (.f64 (fma.f64 (neg.f64 x) (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/6 binary64) (.f64 (sin.f64 eps) #s(literal -1/6 binary64))) (.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))) x) (sin.f64 eps)) (neg.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) x (cos.f64 eps)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) (fma.f64 (neg.f64 x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) (fma.f64 x (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) (fma.f64 (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))) (neg.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) x (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ (neg x) (/ (PI) 2)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (+ (neg x) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)))
#s(approx (neg x) (neg.f64 x))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 eps) #s(literal 1 binary64))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))))) x (*.f64 (/.f64 (cos.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) (fma.f64 (-.f64 (.f64 (cos.f64 eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (+.f64 (cos.f64 eps) #s(literal 1 binary64))))))) x (neg.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64))))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))))) x (.f64 (/.f64 (cos.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (/.f64 (sin.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) (fma.f64 (-.f64 (.f64 (cos.f64 eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (+.f64 (cos.f64 eps) #s(literal 1 binary64))))))) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))))) (fma.f64 (-.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (/.f64 (-.f64 (.f64 (cos.f64 eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 eps) #s(literal 1 binary64))) (.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) x (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) (neg.f64 (/.f64 (cos.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64))))) (fma.f64 (-.f64 (.f64 (cos.f64 eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (+.f64 (cos.f64 eps) #s(literal 1 binary64))))))) x (neg.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64))))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))))) x (*.f64 (/.f64 (cos.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (fma.f64 (neg.f64 x) (sin.f64 (+.f64 eps eps)) (-.f64 (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 (fma.f64 x (fma.f64 (+.f64 (neg.f64 (cos.f64 (+.f64 eps eps))) #s(literal 1 binary64)) x (neg.f64 (sin.f64 (+.f64 eps eps)))) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) (sin.f64 (+.f64 eps eps)) (neg.f64 (cos.f64 (+.f64 eps eps)))) #s(literal 1 binary64)) x (neg.f64 (sin.f64 (+.f64 eps eps)))) x (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (sin.f64 (+.f64 eps eps)))) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+.f64 (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 (+.f64 eps eps)) (neg.f64 (sin.f64 (+.f64 eps eps)))) x)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+.f64 (fma.f64 x (fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) (sin.f64 (+.f64 eps eps)) (neg.f64 (cos.f64 (+.f64 eps eps)))) x (neg.f64 (sin.f64 (+.f64 eps eps)))) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (fma.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (sin.f64 (+.f64 eps eps)))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (fma.f64 x (fma.f64 (neg.f64 x) (cos.f64 (+.f64 eps eps)) (neg.f64 (sin.f64 (+.f64 eps eps)))) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (fma.f64 x (fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) (sin.f64 (+.f64 eps eps)) (neg.f64 (cos.f64 (+.f64 eps eps)))) x (neg.f64 (sin.f64 (+.f64 eps eps)))) (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))))
#s(approx (cos (* 2 (+ eps x))) (cos.f64 (+.f64 eps eps)))
#s(approx (cos (* 2 (+ eps x))) (fma.f64 (*.f64 (sin.f64 (+.f64 eps eps)) x) #s(literal -2 binary64) (cos.f64 (+.f64 eps eps))))
#s(approx (cos (* 2 (+ eps x))) (fma.f64 (fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (+.f64 eps eps)) x) (.f64 #s(literal -2 binary64) (sin.f64 (+.f64 eps eps)))) x (cos.f64 (+.f64 eps eps))))
#s(approx (cos (* 2 (+ eps x))) (fma.f64 (fma.f64 x (fma.f64 (.f64 (sin.f64 (+.f64 eps eps)) x) #s(literal 4/3 binary64) (.f64 #s(literal -2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 eps eps)))) x (cos.f64 (+.f64 eps eps))))
#s(approx (* 2 (+ eps x)) (+.f64 eps eps))
#s(approx (* 2 (+ eps x)) (*.f64 (+.f64 eps x) #s(literal 2 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 x))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* 2 x) (+.f64 x x))
#s(approx (+ (cos x) (cos (+ eps x))) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (+ (cos x) (cos (+ eps x))) (+.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (+ (cos x) (cos (+ eps x))) (+.f64 (fma.f64 x (-.f64 (.f64 (-.f64 (.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) (cos (+ eps x))) (+.f64 (fma.f64 (-.f64 (.f64 (-.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)))
#s(approx (sin (+ (neg x) (/ (PI) 2))) (cos.f64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (* (cos x) eps) 1/24) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
#s(approx (+ (neg x) (/ (PI) 2)) (.f64 (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) (cos.f64 (+.f64 x x)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (fma.f64 (cos.f64 (*.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 (+ eps x))) (cos.f64 (*.f64 (+.f64 eps x) #s(literal 2 binary64))))
#s(approx (* 2 (+ eps x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 2 binary64) #s(literal 2 binary64)) x))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 x)) (cos.f64 (+.f64 x x)))
#s(approx (+ (cos x) (cos (+ eps x))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 eps (neg.f64 x))))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x))))
#s(approx (+ (neg x) (/ (PI) 2)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (-.f64 eps (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (-.f64 eps (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (+.f64 x x)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (fma.f64 (cos.f64 (*.f64 (-.f64 eps (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (.f64 (cos.f64 (.f64 (-.f64 eps (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 (+ eps x))) (cos.f64 (*.f64 (-.f64 eps (neg.f64 x)) #s(literal 2 binary64))))
#s(approx (* 2 (+ eps x)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 2 binary64))))
#s(approx (+ (cos x) (cos (+ eps x))) (+.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps 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 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
#s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos (+ x eps)) (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 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (cos.f64 x) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.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 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 (+.f64 x x)) eps)) (cos.f64 x)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (cos.f64 x)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) eps (.f64 (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) #s(literal -1/2 binary64))) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (fma.f64 (fma.f64 (/.f64 (cos.f64 (+.f64 x x)) (cos.f64 x)) #s(literal -1/2 binary64) (-.f64 (.f64 (-.f64 (.f64 (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) #s(literal 1/3 binary64)) (fma.f64 (.f64 (sin.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (cos.f64 x)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 x))) #s(literal -1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x))))) eps) (.f64 (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))) eps (.f64 (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) #s(literal -1/2 binary64))) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (+.f64 x x))) (cos.f64 x)) (fma.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) #s(literal 1/3 binary64)) (fma.f64 (.f64 (sin.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (cos.f64 x)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 x))) #s(literal -1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x))))) (cos.f64 x))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (cos.f64 x)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (.f64 #s(literal -1/24 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))) eps (.f64 (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) #s(literal 1/3 binary64))) (fma.f64 (.f64 (sin.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (cos.f64 x)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 x))) #s(literal -1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x))))) eps (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (cos.f64 x))) (.f64 (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) eps (*.f64 (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) #s(literal -1/2 binary64))) eps))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (neg.f64 eps) (sin.f64 (+.f64 x x))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (fma.f64 (neg.f64 eps) (cos.f64 (+.f64 x x)) (neg.f64 (sin.f64 (+.f64 x x)))) eps))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) eps) (sin.f64 (+.f64 x x)) (neg.f64 (cos.f64 (+.f64 x x)))) eps (neg.f64 (sin.f64 (+.f64 x x)))) eps))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) (neg.f64 (sin.f64 (+.f64 x x)))) eps))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+.f64 (fma.f64 (neg.f64 eps) (sin.f64 (+.f64 x x)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (neg.f64 eps) (cos.f64 (+.f64 x x)) (neg.f64 (sin.f64 (+.f64 x x)))) eps)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+.f64 (fma.f64 eps (fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) eps) (sin.f64 (+.f64 x x)) (neg.f64 (cos.f64 (+.f64 x x)))) eps (neg.f64 (sin.f64 (+.f64 x x)))) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (fma.f64 (neg.f64 eps) (sin.f64 (+.f64 x x)) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (fma.f64 eps (fma.f64 (neg.f64 eps) (cos.f64 (+.f64 x x)) (neg.f64 (sin.f64 (+.f64 x x)))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (fma.f64 eps (fma.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) eps) (sin.f64 (+.f64 x x)) (neg.f64 (cos.f64 (+.f64 x x)))) eps (neg.f64 (sin.f64 (+.f64 x x)))) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (cos (* 2 (+ eps x))) (fma.f64 (*.f64 (sin.f64 (+.f64 x x)) eps) #s(literal -2 binary64) (cos.f64 (+.f64 x x))))
#s(approx (cos (* 2 (+ eps x))) (fma.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (sin.f64 (+.f64 x x)))) eps (cos.f64 (+.f64 x x))))
#s(approx (cos (* 2 (+ eps x))) (fma.f64 (fma.f64 eps (fma.f64 (.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 4/3 binary64) (.f64 #s(literal -2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 #s(literal -2 binary64) (sin.f64 (+.f64 x x)))) eps (cos.f64 (+.f64 x x))))
#s(approx (+ (cos x) (cos (+ eps x))) (*.f64 #s(literal 2 binary64) (cos.f64 x)))
#s(approx (+ (cos x) (cos (+ eps x))) (fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 #s(literal 2 binary64) (cos.f64 x))))
#s(approx (+ (cos x) (cos (+ eps x))) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (cos.f64 x))))
#s(approx (+ (cos x) (cos (+ eps x))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps (.f64 #s(literal 2 binary64) (cos.f64 x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 eps eps) eps)) (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps)) #s(literal 1/24 binary64)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 eps eps) eps)) (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))))) (.f64 (*.f64 eps eps) eps)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal 1/24 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 eps eps)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (.f64 eps eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) eps))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (* 2 (+ eps x)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 2 binary64)) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal 1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/24 binary64) (cos.f64 x))) (.f64 (.f64 eps eps) eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (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 (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (fma.f64 (cos.f64 x) #s(literal 1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps))) (*.f64 eps eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/24 binary64) (cos.f64 x)))))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (-.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (-.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (cos.f64 (+.f64 x x)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (fma.f64 (cos.f64 (*.f64 (-.f64 x (neg.f64 eps)) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (+ eps x)))) (.f64 (cos.f64 (.f64 (-.f64 x (neg.f64 eps)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 (+ eps x))) (cos.f64 (*.f64 (-.f64 x (neg.f64 eps)) #s(literal 2 binary64))))
#s(approx (* 2 (+ eps x)) (.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 2 binary64))))
#s(approx (+ (cos x) (cos (+ eps x))) (+.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))

eval54.0ms (0.6%)

Memory: 19.6MiB live, 67.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 7 556 to 2 644 computations (65% saved)

prune28.0ms (0.3%)

Memory

-12.1MiB live, 33.8MiB allocated; 5ms collecting garbage

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	422	21	443
Fresh	4	5	9
Picked	4	1	5
Done	0	1	1
Total	430	28	458

Accuracy

99.9%

Counts

458 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.5%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	46.3%	(/.f64 (-.f64 (fma.f64 (cos.f64 (*.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	2.4%	(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	46.5%	(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 eps eps)) (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (sin.f64 (+.f64 eps eps)) (sin.f64 (.f64 #s(literal -2 binary64) x)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
▶	46.3%	(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 (+.f64 eps x) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	46.3%	(/.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) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
▶	98.9%	(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) (neg.f64 (sin.f64 (+.f64 x x)))) eps)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	46.3%	(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	46.5%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
	46.5%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	46.3%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
✓	46.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	46.4%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (sin (+ (neg x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
	80.1%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	98.9%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
▶	98.6%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
▶	74.5%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (*.f64 (neg.f64 eps) (sin.f64 x)))
	44.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(approx (* (cos x) eps) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
	98.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	96.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
	46.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
	46.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps))))
▶	46.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
	96.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))

Compiler

Compiled 1 290 to 1 178 computations (8.7% saved)

series56.0ms (0.6%)

Memory

15.1MiB live, 60.7MiB allocated; 4ms collecting garbage

Counts

49 → 256

Calls

Call 1

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

Outputs
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 eps))) 1/2) (+ 1 (cos eps)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (- (+ (* 1/2 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (* x (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* 1/2 (/ 1 (+ 1 (cos eps)))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (- (+ (* 1/2 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (* x (- (+ (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* x (- (+ (* -1 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (/ 1 (+ 1 (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (/ (* (- (* -1/2 (cos eps)) 1/2) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* 1/2 (/ 1 (+ 1 (cos eps)))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (- (+ (* 1/2 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (* x (- (+ (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* x (- (+ (* -1 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (+ (* x (- (* 2/3 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (+ (* -1 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (/ 1 (+ 1 (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (/ (* (- (* -1/2 (cos eps)) 1/2) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (+ (* 1/6 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))) (/ (* (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))) (- (* -1/2 (cos eps)) 1/2)) (+ 1 (cos eps))))))) (/ 1 (+ 1 (cos eps))))) (+ (* -1 (/ (* (sin eps) (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (/ (* (- (* -1/2 (cos eps)) 1/2) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* 1/2 (/ 1 (+ 1 (cos eps)))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 eps))) 1/2)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ (* -1 (* x (sin (* 2 eps)))) (* 1/2 (cos (* 2 eps)))) 1/2)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* x (+ 1 (* -1 (cos (* 2 eps)))))))) 1/2)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* x (+ 1 (+ (* -1 (cos (* 2 eps))) (* 2/3 (* x (sin (* 2 eps)))))))))) 1/2)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (+ (* eps (* x (- (* 4/3 (pow eps 2)) 2))) (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 4/3 (pow eps 2)) 2)) (* (pow eps 2) (* x (+ 2 (* -2/3 (pow eps 2))))))) (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 4/3 (pow eps 2)) 2)) (* x (+ (* eps (* x (+ 4/3 (* -8/9 (pow eps 2))))) (* (pow eps 2) (+ 2 (* -2/3 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* eps (- (* 1/3 (pow eps 2)) 1))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (+ (* eps (- (* 1/3 (pow eps 2)) 1)) (* x (- (* 4/3 (pow eps 2)) 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (+ (* eps (- (* 1/3 (pow eps 2)) 1)) (* x (- (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 2 (* -2/3 (pow eps 2)))))) 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (+ (* eps (- (* 1/3 (pow eps 2)) 1)) (* x (- (+ (* 4/3 (pow eps 2)) (* x (+ (* eps (+ 2 (* -2/3 (pow eps 2)))) (* x (+ 4/3 (* -8/9 (pow eps 2))))))) 2)))))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) #s(hole binary64 (- (* 1/3 (pow eps 2)) 1)))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) #s(hole binary64 (- (+ (* 1/3 (pow eps 2)) (* 4/3 (* eps x))) 1)))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) #s(hole binary64 (- (+ (* 1/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 2 (* -2/3 (pow eps 2))))))) 1)))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) #s(hole binary64 (- (+ (* 1/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 2 (+ (* -8/9 (* eps x)) (* -2/3 (pow eps 2)))))))) 1)))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (* 1/3 eps)))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (+ (* 1/3 eps) (* 4/3 x))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 4/3 (* -2/3 (* eps x)))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 4/3 (* x (+ (* -8/9 x) (* -2/3 eps))))))))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 eps))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 (+ eps (* -2 (* eps (pow x 2))))))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -2 eps) (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -2 eps) (* (pow x 2) (+ (* -4/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* 4/3 x)))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* x (+ 4/3 (* -8/9 (pow x 2))))))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 8/45 (pow x 2)) 8/9))))))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 8/45 (* -16/945 (pow x 2)))) 8/9))))))
#s(approx (sin (+ x x)) #s(hole binary64 (* x (+ 2 (* -4/3 (pow x 2))))))
#s(approx (sin (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 4/15 (pow x 2)) 4/3))))))
#s(approx (sin (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/15 (* -8/315 (pow x 2)))) 4/3))))))
#s(approx (neg (cos (+ x x))) #s(hole binary64 -1))
#s(approx (neg (cos (+ x x))) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#s(approx (neg (cos (+ x x))) #s(hole binary64 (- (* (pow x 2) (+ 2 (* -2/3 (pow x 2)))) 1)))
#s(approx (neg (cos (+ x x))) #s(hole binary64 (- (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3)))) 1)))
#s(approx (neg (sin (+ x x))) #s(hole binary64 (* -2 x)))
#s(approx (neg (sin (+ x x))) #s(hole binary64 (* x (- (* 4/3 (pow x 2)) 2))))
#s(approx (neg (sin (+ x x))) #s(hole binary64 (* x (- (* (pow x 2) (+ 4/3 (* -4/15 (pow x 2)))) 2))))
#s(approx (neg (sin (+ x x))) #s(hole binary64 (* x (- (* (pow x 2) (+ 4/3 (* (pow x 2) (- (* 8/315 (pow x 2)) 4/15)))) 2))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (cos eps))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (+ (cos eps) (* -1 (* x (sin eps)))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (+ (cos eps) (* x (- (* x (- (* -1/2 (cos eps)) 1/2)) (sin eps)))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (+ (cos eps) (* x (- (* x (- (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))) 1/2)) (sin eps)))))))
#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 (+ eps x)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* (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 (* -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 (/ (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) 1/2) (+ 1 (cos eps)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (- (+ (* 1/2 (/ (sin (+ (* 1/2 (PI)) (* 2 eps))) (+ 1 (cos eps)))) (* x (- (/ (cos (+ (* 1/2 (PI)) (* 2 eps))) (+ 1 (cos eps))) (* -1 (/ (* (sin eps) (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* 1/2 (/ 1 (+ 1 (cos eps)))))))
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#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
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#s(approx (- (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 (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (/ (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (* 1/2 (/ (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* 1/2 (cos (* 2 x)))) (cos x)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (* 1/2 (/ (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* 1/2 (cos (* 2 x)))) (cos x))) (* eps (- (* 1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 x))) (cos x))) (* -1/4 (/ (* (sin x) (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* 1/2 (cos (* 2 x))))) (pow (cos x) 2))))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (* 1/2 (/ (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* 1/2 (cos (* 2 x)))) (cos x))) (* eps (- (+ (* 1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 x))) (cos x))) (* eps (- (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 2 x))) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* 1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 x))) (cos x))) (* -1/4 (/ (* (sin x) (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* 1/2 (cos (* 2 x))))) (pow (cos x) 2))))) (cos x))) (* -1/8 (/ (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* 1/2 (cos (* 2 x)))) (cos x))))))) (* -1/4 (/ (* (sin x) (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* 1/2 (cos (* 2 x))))) (pow (cos x) 2))))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (+ (* 1/2 (/ (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* 1/2 (cos (* 2 x)))) (cos x))) (* eps (- (+ (* 1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 x))) (cos x))) (* eps (- (+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 2 x))) (cos x))) (* eps (- (* -1/3 (/ (cos (+ (* 1/2 (PI)) (* 2 x))) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 2 x))) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* 1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 x))) (cos x))) (* -1/4 (/ (* (sin x) (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* 1/2 (cos (* 2 x))))) (pow (cos x) 2))))) (cos x))) (* -1/8 (/ (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* 1/2 (cos (* 2 x)))) (cos x)))))) (cos x))) (+ (* -1/4 (- (* 1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 x))) (cos x))) (* -1/4 (/ (* (sin x) (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* 1/2 (cos (* 2 x))))) (pow (cos x) 2))))) (* 1/24 (/ (* (sin x) (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* 1/2 (cos (* 2 x))))) (pow (cos x) 2)))))))) (+ (* -1/2 (/ (* (sin x) (- (* 1/2 (/ (cos (+ (* 1/2 (PI)) (* 2 x))) (cos x))) (* -1/4 (/ (* (sin x) (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* 1/2 (cos (* 2 x))))) (pow (cos x) 2))))) (cos x))) (* -1/8 (/ (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* 1/2 (cos (* 2 x)))) (cos x))))))) (* -1/4 (/ (* (sin x) (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* 1/2 (cos (* 2 x))))) (pow (cos x) 2))))))))
#s(approx (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* 1/2 (cos (* 2 x))))))
#s(approx (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* eps (cos (+ (* 1/2 (PI)) (* 2 x))))) (* 1/2 (cos (* 2 x))))))
#s(approx (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* eps (+ (cos (+ (* 1/2 (PI)) (* 2 x))) (* -1 (* eps (sin (+ (* 1/2 (PI)) (* 2 x)))))))) (* 1/2 (cos (* 2 x))))))
#s(approx (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* eps (+ (cos (+ (* 1/2 (PI)) (* 2 x))) (* eps (+ (* -1 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* -2/3 (* eps (cos (+ (* 1/2 (PI)) (* 2 x)))))))))) (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) #s(hole binary64 (+ 1/2 (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))))))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) #s(hole binary64 (+ 1/2 (+ (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* eps (cos (+ (* 1/2 (PI)) (* 2 x))))))))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) #s(hole binary64 (+ 1/2 (+ (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* eps (+ (cos (+ (* 1/2 (PI)) (* 2 x))) (* -1 (* eps (sin (+ (* 1/2 (PI)) (* 2 x)))))))))))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) #s(hole binary64 (+ 1/2 (+ (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* eps (+ (cos (+ (* 1/2 (PI)) (* 2 x))) (* eps (+ (* -1 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* -2/3 (* eps (cos (+ (* 1/2 (PI)) (* 2 x)))))))))))))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) #s(hole binary64 (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x))))))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* eps (cos (+ (* 1/2 (PI)) (* 2 x)))))))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* eps (+ (cos (+ (* 1/2 (PI)) (* 2 x))) (* -1 (* eps (sin (+ (* 1/2 (PI)) (* 2 x))))))))))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* eps (+ (cos (+ (* 1/2 (PI)) (* 2 x))) (* eps (+ (* -1 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* -2/3 (* eps (cos (+ (* 1/2 (PI)) (* 2 x))))))))))))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 2 x)))))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 (PI)) (* 2 x))) (* 2 (* eps (cos (+ (* 1/2 (PI)) (* 2 x))))))))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 (PI)) (* 2 x))) (* eps (+ (* -2 (* eps (sin (+ (* 1/2 (PI)) (* 2 x))))) (* 2 (cos (+ (* 1/2 (PI)) (* 2 x)))))))))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 (PI)) (* 2 x))) (* eps (+ (* 2 (cos (+ (* 1/2 (PI)) (* 2 x)))) (* eps (+ (* -2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* -4/3 (* eps (cos (+ (* 1/2 (PI)) (* 2 x))))))))))))
#s(approx (+ (* (+ eps x) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* 1/3 (* (pow eps 4) (cos (* 2 x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (cos (* 2 x)) (pow eps 2))) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (cos (* 2 x)) (pow eps 2))) (+ (* -1 (/ (sin (* 2 x)) (pow eps 3))) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* 1/3 (* (pow eps 3) (cos (* 2 x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* (pow eps 3) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (cos (* 2 x)) (pow eps 2))) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (/ (sin (* 2 x)) (pow eps 3))) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps)))) (/ (cos (* 2 x)) (pow eps 2))))))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) #s(hole binary64 (* 1/3 (* (pow eps 2) (cos (* 2 x))))))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) #s(hole binary64 (* (pow eps 2) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps))))))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (cos (* 2 x)) (pow eps 2))) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps)))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (* 1/3 (* eps (cos (* 2 x))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (* eps (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps))))))
#s(approx (+ eps x) #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 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* (+ eps x) 2) (/ (PI) 2)) #s(hole binary64 (* 2 eps)))
#s(approx (+ (* (+ eps x) 2) (/ (PI) 2)) #s(hole binary64 (* eps (+ 2 (+ (* 1/2 (/ (PI) eps)) (* 2 (/ x eps)))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 (- x (* -1 eps))))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (- x (* -1 eps)))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 (- x (* -1 eps))))) (* 1/2 (cos (* 2 x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -2/3 (sin (* 2 x))) (/ (cos (* 2 x)) eps)) eps)) (* 1/3 (cos (* 2 x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos (* 2 x))) (* -1 (/ (sin (* 2 x)) eps))) eps)) (* -2/3 (sin (* 2 x)))) eps)) (* 1/3 (cos (* 2 x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -2/3 (/ (sin (* 2 x)) eps)) (* -1/3 (cos (* 2 x))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (cos (* 2 x)) eps)) (* 2/3 (sin (* 2 x)))) eps)) (* -1/3 (cos (* 2 x))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (cos (* 2 x)) (/ (sin (* 2 x)) eps)) eps)) (* 2/3 (sin (* 2 x)))) eps)) (* -1/3 (cos (* 2 x))))))))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -2/3 (sin (* 2 x))) (/ (cos (* 2 x)) eps)) eps)) (* 1/3 (cos (* 2 x)))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (* -1 (* eps (+ (* -2/3 (/ (sin (* 2 x)) eps)) (* -1/3 (cos (* 2 x))))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos x) (cos (- x (* -1 eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 (- x (* -1 eps)))))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (- x (* -1 eps)))))))
#s(approx (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 (- x (* -1 eps)))))) (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) #s(hole binary64 (+ 1/2 (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 (- x (* -1 eps)))))))))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) #s(hole binary64 (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 (- x (* -1 eps))))))))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 2 (- x (* -1 eps)))))))
#s(approx (+ (* (+ eps x) 2) (/ (PI) 2)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (* 1/2 (PI)) (* 2 x)) eps)) 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	((/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (* (cos (+ x x)) eps) (cos (+ x x)) (+ x x) x 1/3 (* (sin (+ x x)) 2/3) (sin (+ x x)) 2/3 (neg (cos (+ x x))) (neg (sin (+ x x))) (+ (cos x) (cos (+ eps x))) (cos x) (cos (+ eps x)) (+ eps x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (* (* eps eps) -1/2) (* eps eps) -1/2 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (* (neg eps) (sin x)) (neg eps) (sin x) (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (/ (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) (sin (+ (* (+ eps x) 2) (/ (PI) 2))) (+ (* (+ eps x) 2) (/ (PI) 2)) 2 (/ (PI) 2) (PI) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x))
9.0ms	x	@	-inf	((/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (* (cos (+ x x)) eps) (cos (+ x x)) (+ x x) x 1/3 (* (sin (+ x x)) 2/3) (sin (+ x x)) 2/3 (neg (cos (+ x x))) (neg (sin (+ x x))) (+ (cos x) (cos (+ eps x))) (cos x) (cos (+ eps x)) (+ eps x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (* (* eps eps) -1/2) (* eps eps) -1/2 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (* (neg eps) (sin x)) (neg eps) (sin x) (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (/ (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) (sin (+ (* (+ eps x) 2) (/ (PI) 2))) (+ (* (+ eps x) 2) (/ (PI) 2)) 2 (/ (PI) 2) (PI) (+ 1/2 (* 1/2 (cos (* 2 x)))) (* 1/2 (cos (* 2 x))) (cos (* 2 x)) (* 2 x))
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rewrite204.0ms (2.3%)

Memory

5.7MiB live, 142.3MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1251	10309
0	1327	9221
0	8067	8806

Stop Event

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

Counts

305 → 450

Calls

Call 1

Inputs
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#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 4/3 (pow eps 2)) 2)) (* x (+ (* eps (* x (+ 4/3 (* -8/9 (pow eps 2))))) (* (pow eps 2) (+ 2 (* -2/3 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* eps (- (* 1/3 (pow eps 2)) 1))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (+ (* eps (- (* 1/3 (pow eps 2)) 1)) (* x (- (* 4/3 (pow eps 2)) 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (+ (* eps (- (* 1/3 (pow eps 2)) 1)) (* x (- (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 2 (* -2/3 (pow eps 2)))))) 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (+ (* eps (- (* 1/3 (pow eps 2)) 1)) (* x (- (+ (* 4/3 (pow eps 2)) (* x (+ (* eps (+ 2 (* -2/3 (pow eps 2)))) (* x (+ 4/3 (* -8/9 (pow eps 2))))))) 2)))))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) #s(hole binary64 (- (* 1/3 (pow eps 2)) 1)))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) #s(hole binary64 (- (+ (* 1/3 (pow eps 2)) (* 4/3 (* eps x))) 1)))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) #s(hole binary64 (- (+ (* 1/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 2 (* -2/3 (pow eps 2))))))) 1)))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) #s(hole binary64 (- (+ (* 1/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 2 (+ (* -8/9 (* eps x)) (* -2/3 (pow eps 2)))))))) 1)))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (* 1/3 eps)))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (+ (* 1/3 eps) (* 4/3 x))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 4/3 (* -2/3 (* eps x)))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 4/3 (* x (+ (* -8/9 x) (* -2/3 eps))))))))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 eps))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 (+ eps (* -2 (* eps (pow x 2))))))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -2 eps) (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -2 eps) (* (pow x 2) (+ (* -4/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* 4/3 x)))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* x (+ 4/3 (* -8/9 (pow x 2))))))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 8/45 (pow x 2)) 8/9))))))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 8/45 (* -16/945 (pow x 2)))) 8/9))))))
#s(approx (sin (+ x x)) #s(hole binary64 (* x (+ 2 (* -4/3 (pow x 2))))))
#s(approx (sin (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 4/15 (pow x 2)) 4/3))))))
#s(approx (sin (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/15 (* -8/315 (pow x 2)))) 4/3))))))
#s(approx (neg (cos (+ x x))) #s(hole binary64 -1))
#s(approx (neg (cos (+ x x))) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#s(approx (neg (cos (+ x x))) #s(hole binary64 (- (* (pow x 2) (+ 2 (* -2/3 (pow x 2)))) 1)))
#s(approx (neg (cos (+ x x))) #s(hole binary64 (- (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3)))) 1)))
#s(approx (neg (sin (+ x x))) #s(hole binary64 (* -2 x)))
#s(approx (neg (sin (+ x x))) #s(hole binary64 (* x (- (* 4/3 (pow x 2)) 2))))
#s(approx (neg (sin (+ x x))) #s(hole binary64 (* x (- (* (pow x 2) (+ 4/3 (* -4/15 (pow x 2)))) 2))))
#s(approx (neg (sin (+ x x))) #s(hole binary64 (* x (- (* (pow x 2) (+ 4/3 (* (pow x 2) (- (* 8/315 (pow x 2)) 4/15)))) 2))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (cos eps))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (+ (cos eps) (* -1 (* x (sin eps)))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (+ (cos eps) (* x (- (* x (- (* -1/2 (cos eps)) 1/2)) (sin eps)))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (+ (cos eps) (* x (- (* x (- (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))) 1/2)) (sin eps)))))))
#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 (+ eps x)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* (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 (* -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 (/ (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) 1/2) (+ 1 (cos eps)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (- (+ (* 1/2 (/ (sin (+ (* 1/2 (PI)) (* 2 eps))) (+ 1 (cos eps)))) (* x (- (/ (cos (+ (* 1/2 (PI)) (* 2 eps))) (+ 1 (cos eps))) (* -1 (/ (* (sin eps) (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* 1/2 (/ 1 (+ 1 (cos eps)))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (- (+ (* 1/2 (/ (sin (+ (* 1/2 (PI)) (* 2 eps))) (+ 1 (cos eps)))) (* x (- (+ (* x (- (+ (* -1 (/ (sin (+ (* 1/2 (PI)) (* 2 eps))) (+ 1 (cos eps)))) (/ 1 (+ 1 (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (/ (cos (+ (* 1/2 (PI)) (* 2 eps))) (+ 1 (cos eps))) (* -1 (/ (* (sin eps) (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (/ (* (- (* -1/2 (cos eps)) 1/2) (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (/ (cos (+ (* 1/2 (PI)) (* 2 eps))) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* 1/2 (/ 1 (+ 1 (cos eps)))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (- (+ (* 1/2 (/ (sin (+ (* 1/2 (PI)) (* 2 eps))) (+ 1 (cos eps)))) (* x (- (+ (* x (- (+ (* -1 (/ (sin (+ (* 1/2 (PI)) (* 2 eps))) (+ 1 (cos eps)))) (+ (* x (- (* -2/3 (/ (cos (+ (* 1/2 (PI)) (* 2 eps))) (+ 1 (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (+ (* -1 (/ (sin (+ (* 1/2 (PI)) (* 2 eps))) (+ 1 (cos eps)))) (/ 1 (+ 1 (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (/ (cos (+ (* 1/2 (PI)) (* 2 eps))) (+ 1 (cos eps))) (* -1 (/ (* (sin eps) (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (/ (* (- (* -1/2 (cos eps)) 1/2) (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (+ (* 1/6 (/ (* (sin eps) (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) 1/2)) (pow (+ 1 (cos eps)) 2))) (/ (* (- (* -1/2 (cos eps)) 1/2) (- (/ (cos (+ (* 1/2 (PI)) (* 2 eps))) (+ 1 (cos eps))) (* -1 (/ (* (sin eps) (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps))))))) (/ 1 (+ 1 (cos eps))))) (+ (* -1 (/ (* (sin eps) (- (/ (cos (+ (* 1/2 (PI)) (* 2 eps))) (+ 1 (cos eps))) (* -1 (/ (* (sin eps) (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (/ (* (- (* -1/2 (cos eps)) 1/2) (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (/ (cos (+ (* 1/2 (PI)) (* 2 eps))) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* 1/2 (/ 1 (+ 1 (cos eps)))))))
#s(approx (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) 1/2)))
#s(approx (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) (* x (cos (+ (* 1/2 (PI)) (* 2 eps))))) 1/2)))
#s(approx (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) (* x (+ (cos (+ (* 1/2 (PI)) (* 2 eps))) (* x (+ 1 (* -1 (sin (+ (* 1/2 (PI)) (* 2 eps))))))))) 1/2)))
#s(approx (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) (* x (+ (cos (+ (* 1/2 (PI)) (* 2 eps))) (* x (+ 1 (+ (* -1 (sin (+ (* 1/2 (PI)) (* 2 eps)))) (* -2/3 (* x (cos (+ (* 1/2 (PI)) (* 2 eps))))))))))) 1/2)))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) #s(hole binary64 (+ 1/2 (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))))))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) #s(hole binary64 (+ 1/2 (+ (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) (* x (cos (+ (* 1/2 (PI)) (* 2 eps))))))))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) #s(hole binary64 (+ 1/2 (+ (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) (* x (+ (cos (+ (* 1/2 (PI)) (* 2 eps))) (* -1 (* x (sin (+ (* 1/2 (PI)) (* 2 eps)))))))))))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) #s(hole binary64 (+ 1/2 (+ (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) (* x (+ (cos (+ (* 1/2 (PI)) (* 2 eps))) (* x (+ (* -1 (sin (+ (* 1/2 (PI)) (* 2 eps)))) (* -2/3 (* x (cos (+ (* 1/2 (PI)) (* 2 eps)))))))))))))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) #s(hole binary64 (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps))))))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) (* x (cos (+ (* 1/2 (PI)) (* 2 eps)))))))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) (* x (+ (cos (+ (* 1/2 (PI)) (* 2 eps))) (* -1 (* x (sin (+ (* 1/2 (PI)) (* 2 eps))))))))))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) #s(hole binary64 (+ (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) (* x (+ (cos (+ (* 1/2 (PI)) (* 2 eps))) (* x (+ (* -1 (sin (+ (* 1/2 (PI)) (* 2 eps)))) (* -2/3 (* x (cos (+ (* 1/2 (PI)) (* 2 eps))))))))))))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 2 eps)))))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 (PI)) (* 2 eps))) (* 2 (* x (cos (+ (* 1/2 (PI)) (* 2 eps))))))))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 (PI)) (* 2 eps))) (* x (+ (* -2 (* x (sin (+ (* 1/2 (PI)) (* 2 eps))))) (* 2 (cos (+ (* 1/2 (PI)) (* 2 eps)))))))))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 (PI)) (* 2 eps))) (* x (+ (* 2 (cos (+ (* 1/2 (PI)) (* 2 eps)))) (* x (+ (* -2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) (* -4/3 (* x (cos (+ (* 1/2 (PI)) (* 2 eps))))))))))))
#s(approx (+ (* (+ eps x) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 eps))))
#s(approx (+ (* (+ eps x) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (+ (* 2 eps) (* 2 x)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (+ eps x))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* eps (- (* eps (- (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x))))) (cos (* 2 x)))) (sin (* 2 x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (- (* eps (- (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x))))) (cos (* 2 x)))) (sin (* 2 x)))))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) #s(hole binary64 (- (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x))))) (cos (* 2 x)))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x))))))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 (* eps (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* 2/3 (sin (* 2 x)))))
#s(approx (sin (+ x x)) #s(hole binary64 (sin (* 2 x))))
#s(approx (neg (cos (+ x x))) #s(hole binary64 (* -1 (cos (* 2 x)))))
#s(approx (neg (sin (+ x x))) #s(hole binary64 (* -1 (sin (* 2 x)))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos x) (cos (+ eps x)))))
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#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
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#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* (pow eps 3) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (cos (* 2 x)) (pow eps 2))) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (/ (sin (* 2 x)) (pow eps 3))) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps)))) (/ (cos (* 2 x)) (pow eps 2))))))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) #s(hole binary64 (* 1/3 (* (pow eps 2) (cos (* 2 x))))))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) #s(hole binary64 (* (pow eps 2) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps))))))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (cos (* 2 x)) (pow eps 2))) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps)))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (* 1/3 (* eps (cos (* 2 x))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (* eps (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps))))))
#s(approx (+ eps x) #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 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* (+ eps x) 2) (/ (PI) 2)) #s(hole binary64 (* 2 eps)))
#s(approx (+ (* (+ eps x) 2) (/ (PI) 2)) #s(hole binary64 (* eps (+ 2 (+ (* 1/2 (/ (PI) eps)) (* 2 (/ x eps)))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 (- x (* -1 eps))))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (- x (* -1 eps)))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 (- x (* -1 eps))))) (* 1/2 (cos (* 2 x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -2/3 (sin (* 2 x))) (/ (cos (* 2 x)) eps)) eps)) (* 1/3 (cos (* 2 x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos (* 2 x))) (* -1 (/ (sin (* 2 x)) eps))) eps)) (* -2/3 (sin (* 2 x)))) eps)) (* 1/3 (cos (* 2 x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -2/3 (/ (sin (* 2 x)) eps)) (* -1/3 (cos (* 2 x))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (cos (* 2 x)) eps)) (* 2/3 (sin (* 2 x)))) eps)) (* -1/3 (cos (* 2 x))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (cos (* 2 x)) (/ (sin (* 2 x)) eps)) eps)) (* 2/3 (sin (* 2 x)))) eps)) (* -1/3 (cos (* 2 x))))))))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -2/3 (sin (* 2 x))) (/ (cos (* 2 x)) eps)) eps)) (* 1/3 (cos (* 2 x)))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (* -1 (* eps (+ (* -2/3 (/ (sin (* 2 x)) eps)) (* -1/3 (cos (* 2 x))))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos x) (cos (- x (* -1 eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 (- x (* -1 eps)))))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (- x (* -1 eps)))))))
#s(approx (- (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 (- x (* -1 eps)))))) (* 1/2 (cos (* 2 x))))))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) #s(hole binary64 (+ 1/2 (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 (- x (* -1 eps)))))))))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) #s(hole binary64 (* 1/2 (sin (+ (* 1/2 (PI)) (* 2 (- x (* -1 eps))))))))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 2 (- x (* -1 eps)))))))
#s(approx (+ (* (+ eps x) 2) (/ (PI) 2)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (* 1/2 (PI)) (* 2 x)) eps)) 2)))))

Outputs
(/.f64 (neg.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (fma.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps (sin.f64 (neg.f64 (+.f64 x x)))) eps))) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (fma.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps (sin.f64 (neg.f64 (+.f64 x x)))) eps)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (fma.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps (sin.f64 (neg.f64 (+.f64 x x)))) eps))
(.f64 (fma.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps (sin.f64 (neg.f64 (+.f64 x x)))) eps)
(.f64 eps (fma.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps (sin.f64 (neg.f64 (+.f64 x x)))))
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(fma.f64 eps (sin.f64 (neg.f64 (+.f64 x x))) (.f64 eps (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps)))
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(/.f64 (-.f64 (.f64 (sin.f64 (neg.f64 (+.f64 x x))) (sin.f64 (neg.f64 (+.f64 x x)))) (.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps))) (-.f64 (sin.f64 (neg.f64 (+.f64 x x))) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 (neg.f64 (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps) (-.f64 (.f64 (sin.f64 (neg.f64 (+.f64 x x))) (sin.f64 (neg.f64 (+.f64 x x)))) (.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps) (sin.f64 (neg.f64 (+.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (neg.f64 (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps) #s(literal 3 binary64))) (fma.f64 (sin.f64 (neg.f64 (+.f64 x x))) (sin.f64 (neg.f64 (+.f64 x x))) (-.f64 (.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps)) (.f64 (sin.f64 (neg.f64 (+.f64 x x))) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps)))))
(fma.f64 (sin.f64 (+.f64 x x)) #s(literal -1 binary64) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps))
(fma.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps (sin.f64 (neg.f64 (+.f64 x x))))
(fma.f64 #s(literal -1 binary64) (sin.f64 (+.f64 x x)) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps))
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eps
(/.f64 (-.f64 (.f64 (neg.f64 (cos.f64 (+.f64 x x))) (neg.f64 (cos.f64 (+.f64 x x)))) (.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps))) (-.f64 (neg.f64 (cos.f64 (+.f64 x x))) (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps)) (.f64 (neg.f64 (cos.f64 (+.f64 x x))) (neg.f64 (cos.f64 (+.f64 x x))))) (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (neg.f64 (cos.f64 (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) #s(literal 3 binary64))) (fma.f64 (neg.f64 (cos.f64 (+.f64 x x))) (neg.f64 (cos.f64 (+.f64 x x))) (-.f64 (.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps)) (.f64 (neg.f64 (cos.f64 (+.f64 x x))) (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps)))))
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(fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x))))
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(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))
(+.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))
(sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) (sin.f64 x)))
(cos.f64 (neg.f64 (+.f64 x x)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (+.f64 x x))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 x x)
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#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 eps eps)) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))) (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (cos.f64 eps))))))) x (neg.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (+.f64 #s(literal 1 binary64) (cos.f64 eps))))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64)))))) x (.f64 (/.f64 (cos.f64 (+.f64 eps eps)) (+.f64 #s(literal 1 binary64) (cos.f64 eps))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))))
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#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (fma.f64 (neg.f64 x) (sin.f64 (+.f64 eps eps)) (-.f64 (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 (fma.f64 x (fma.f64 (+.f64 (neg.f64 (cos.f64 (+.f64 eps eps))) #s(literal 1 binary64)) x (neg.f64 (sin.f64 (+.f64 eps eps)))) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) (sin.f64 (+.f64 eps eps)) (neg.f64 (cos.f64 (+.f64 eps eps)))) #s(literal 1 binary64)) x (neg.f64 (sin.f64 (+.f64 eps eps)))) x (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
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#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (fma.f64 (.f64 x eps) (-.f64 (.f64 #s(literal 4/3 binary64) (.f64 eps eps)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 eps eps))))
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#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 eps eps) (.f64 (fma.f64 (fma.f64 (.f64 x eps) (fma.f64 #s(literal -8/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64)) (.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)) (.f64 eps eps))) x (.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (.f64 eps eps)) #s(literal 2 binary64)) eps)) x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) eps))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (fma.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (.f64 eps eps)) #s(literal 2 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) eps)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)) x) eps) #s(literal 2 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) eps)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64)) x (.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)) eps)) x (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) #s(literal 2 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) eps)))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) (-.f64 (fma.f64 (.f64 x eps) #s(literal 4/3 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)) x (.f64 #s(literal 4/3 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) (-.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (.f64 x eps) #s(literal -8/9 binary64) (.f64 #s(literal -2/3 binary64) (.f64 eps eps))) #s(literal 2 binary64)) x (.f64 #s(literal 4/3 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (*.f64 #s(literal 1/3 binary64) eps))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (fma.f64 #s(literal 4/3 binary64) x (*.f64 #s(literal 1/3 binary64) eps)))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (fma.f64 (fma.f64 (.f64 x eps) #s(literal -2/3 binary64) #s(literal 4/3 binary64)) x (.f64 #s(literal 1/3 binary64) eps)))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (fma.f64 (fma.f64 (fma.f64 #s(literal -8/9 binary64) x (.f64 #s(literal -2/3 binary64) eps)) x #s(literal 4/3 binary64)) x (.f64 #s(literal 1/3 binary64) eps)))
#s(approx (* (cos (+ x x)) eps) eps)
#s(approx (* (cos (+ x x)) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -2 binary64) eps))
#s(approx (* (cos (+ x x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) (.f64 #s(literal -2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (cos (+ x x)) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -4/45 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 2/3 binary64) eps)) (.f64 #s(literal -2 binary64) eps)) (.f64 x x) eps))
#s(approx (cos (+ x x)) #s(literal 1 binary64))
#s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx x x)
#s(approx (* (sin (+ x x)) 2/3) (*.f64 #s(literal 4/3 binary64) x))
#s(approx (* (sin (+ x x)) 2/3) (.f64 (fma.f64 (.f64 x x) #s(literal -8/9 binary64) #s(literal 4/3 binary64)) x))
#s(approx (* (sin (+ x x)) 2/3) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 8/45 binary64) (.f64 x x)) #s(literal 8/9 binary64)) (.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (* (sin (+ x x)) 2/3) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -16/945 binary64) (.f64 x x) #s(literal 8/45 binary64)) (.f64 x x)) #s(literal 8/9 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (sin (+ x x)) (.f64 (fma.f64 #s(literal -4/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (sin (+ x x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 4/15 binary64) (.f64 x x)) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (sin (+ x x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -8/315 binary64) (.f64 x x) #s(literal 4/15 binary64)) (.f64 x x)) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (neg (cos (+ x x))) #s(literal -1 binary64))
#s(approx (neg (cos (+ x x))) (-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (neg (cos (+ x x))) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -2/3 binary64) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (neg (cos (+ x x))) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 4/45 binary64) (.f64 x x)) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (neg (sin (+ x x))) (*.f64 #s(literal -2 binary64) x))
#s(approx (neg (sin (+ x x))) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 4/3 binary64)) #s(literal 2 binary64)) x))
#s(approx (neg (sin (+ x x))) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/15 binary64) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) x))
#s(approx (neg (sin (+ x x))) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 8/315 binary64) (.f64 x x)) #s(literal 4/15 binary64)) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) x))
#s(approx (+ (cos x) (cos (+ eps x))) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))
#s(approx (+ (cos x) (cos (+ eps x))) (+.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (+ (cos x) (cos (+ eps x))) (+.f64 (fma.f64 x (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (+ (cos x) (cos (+ eps x))) (+.f64 (fma.f64 (-.f64 (.f64 (-.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ eps x)) (cos.f64 eps))
#s(approx (cos (+ eps x)) (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)))
#s(approx (cos (+ eps x)) (fma.f64 x (-.f64 (.f64 (.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (cos (+ eps x)) (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 (+ eps x) (+.f64 x eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps 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 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (fma.f64 x (-.f64 (.f64 (+.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (*.f64 #s(literal 1/6 binary64) eps)) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x))
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/6 binary64) eps) x)) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x eps)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) eps) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) eps) (.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 (* (cos x) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.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 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (/.f64 (-.f64 (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 eps))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (cos.f64 eps))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64)))))) x (/.f64 (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))) (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (cos.f64 eps))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (cos.f64 eps))))))) x (-.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (cos.f64 eps))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64))))))) x (/.f64 (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (-.f64 (.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (cos.f64 eps))) #s(literal -2/3 binary64)) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))) (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (cos.f64 eps))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (cos.f64 eps))))))) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))))) (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (cos.f64 eps))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (cos.f64 eps))) (.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))) (neg.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (cos.f64 eps))))) (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (cos.f64 eps))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (cos.f64 eps))))))) x (-.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) (+.f64 #s(literal 1 binary64) (cos.f64 eps))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64))))))) x (/.f64 (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 eps)))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) x (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 (fma.f64 (fma.f64 (+.f64 (neg.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)))) #s(literal 1 binary64)) x (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)))) x (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) x) #s(literal -2/3 binary64) (neg.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))))) #s(literal 1 binary64)) x (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)))) x (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+.f64 (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) x)))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+.f64 (fma.f64 x (fma.f64 (neg.f64 x) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+.f64 (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (fma.f64 (.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) x) #s(literal -2/3 binary64) (neg.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)))) x)))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) x (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) (fma.f64 x (fma.f64 (neg.f64 x) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) (fma.f64 (fma.f64 x (fma.f64 (.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) x) #s(literal -2/3 binary64) (neg.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)))) x (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1/2 binary64))))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) (fma.f64 (+.f64 x x) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)))))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) (fma.f64 (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 2 binary64) (.f64 (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) x) #s(literal -2 binary64))) x (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)))))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4/3 binary64) x) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal -2 binary64))) x (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 2 binary64))) x (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)))))
#s(approx (+ (* (+ eps x) 2) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)))
#s(approx (+ (* (+ eps x) 2) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 2 binary64))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 x))) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) (cos.f64 (+.f64 x x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (sin.f64 (+.f64 x x))) eps))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (sin.f64 (+.f64 x x))))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))))
#s(approx (* (cos (+ x x)) eps) (*.f64 (cos.f64 (+.f64 x x)) eps))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (* (sin (+ x x)) 2/3) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64)))
#s(approx (sin (+ x x)) (sin.f64 (+.f64 x x)))
#s(approx (neg (cos (+ x x))) (neg.f64 (cos.f64 (+.f64 x x))))
#s(approx (neg (sin (+ x x))) (sin.f64 (neg.f64 (+.f64 x x))))
#s(approx (+ (cos x) (cos (+ eps x))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (cos (+ eps x)) (cos.f64 (+.f64 x eps)))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
#s(approx (* (neg eps) (sin x)) (*.f64 (sin.f64 x) (neg.f64 eps)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (* (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 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (+.f64 x eps) #s(literal 2 binary64)))) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (+.f64 x eps) #s(literal 2 binary64)))) (cos.f64 (+.f64 x x)))))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (+.f64 x eps) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 2 binary64)))))
#s(approx (+ (* (+ eps x) 2) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)) x) #s(literal 2 binary64)) x))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 x))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (-.f64 eps (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (-.f64 eps (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (+.f64 x x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (sin.f64 (+.f64 x x))) eps))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (sin.f64 (+.f64 x x))))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))))
#s(approx (* (cos (+ x x)) eps) (*.f64 (cos.f64 (+.f64 x x)) eps))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (* (sin (+ x x)) 2/3) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64)))
#s(approx (sin (+ x x)) (sin.f64 (+.f64 x x)))
#s(approx (neg (cos (+ x x))) (neg.f64 (cos.f64 (+.f64 x x))))
#s(approx (neg (sin (+ x x))) (sin.f64 (neg.f64 (+.f64 x x))))
#s(approx (+ (cos x) (cos (+ eps x))) (+.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (cos (+ eps x)) (cos.f64 (-.f64 eps (neg.f64 x))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (-.f64 eps (neg.f64 x)) #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (-.f64 eps (neg.f64 x)) #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x x)))))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (fma.f64 (sin.f64 (fma.f64 (-.f64 eps (neg.f64 x)) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) (.f64 (sin.f64 (fma.f64 (-.f64 eps (neg.f64 x)) #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) (sin.f64 (fma.f64 (-.f64 eps (neg.f64 x)) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ eps x) 2) (/ (PI) 2)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)) x)) #s(literal 2 binary64))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 (+.f64 x x)) eps)) (cos.f64 x)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (cos.f64 x)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) eps (.f64 (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) #s(literal -1/2 binary64))) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (fma.f64 (fma.f64 (/.f64 (cos.f64 (+.f64 x x)) (cos.f64 x)) #s(literal -1/2 binary64) (-.f64 (.f64 (-.f64 (.f64 (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) #s(literal 1/3 binary64)) (fma.f64 (.f64 (sin.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (cos.f64 x)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 x))) #s(literal -1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x))))) eps) (.f64 (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))) eps (.f64 (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) #s(literal -1/2 binary64))) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (+.f64 x x))) (cos.f64 x)) (fma.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) #s(literal 1/3 binary64)) (fma.f64 (.f64 (sin.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (cos.f64 x)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 x))) #s(literal -1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x))))) (cos.f64 x))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (cos.f64 x)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (.f64 #s(literal -1/24 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))) eps (.f64 (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) #s(literal 1/3 binary64))) (fma.f64 (.f64 (sin.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (cos.f64 x)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 x))) #s(literal -1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x))))) eps (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (cos.f64 x))) (.f64 (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) eps (*.f64 (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) #s(literal -1/2 binary64))) eps))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (neg.f64 eps) (sin.f64 (+.f64 x x))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (fma.f64 (neg.f64 eps) (cos.f64 (+.f64 x x)) (sin.f64 (neg.f64 (+.f64 x x)))) eps))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (fma.f64 eps (fma.f64 (.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (neg.f64 (cos.f64 (+.f64 x x)))) (sin.f64 (neg.f64 (+.f64 x x)))) eps))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (fma.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps (sin.f64 (neg.f64 (+.f64 x x)))) eps))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (-.f64 (*.f64 (neg.f64 eps) (cos.f64 (+.f64 x x))) (sin.f64 (+.f64 x x))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (neg.f64 (cos.f64 (+.f64 x x)))) eps) (sin.f64 (+.f64 x x))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (-.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps) (sin.f64 (+.f64 x x))))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) (-.f64 (.f64 (.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64)) (cos.f64 (+.f64 x x))))
#s(approx (+ (cos x) (cos (+ eps x))) (*.f64 (cos.f64 x) #s(literal 2 binary64)))
#s(approx (+ (cos x) (cos (+ eps x))) (fma.f64 (sin.f64 x) (neg.f64 eps) (*.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (+ (cos x) (cos (+ eps x))) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (+ (cos x) (cos (+ eps x))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps (.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (cos (+ eps x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (cos.f64 x)))
#s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))
#s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) (cos.f64 x)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps 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 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (neg eps) (neg.f64 eps))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x)))) (cos.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (fma.f64 (fma.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (sin.f64 x) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) eps (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x)))) (cos.f64 x)) #s(literal 1/2 binary64))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 x)) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (sin.f64 x) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x)))) (cos.f64 x))))) eps (.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 x)) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x)))) (sin.f64 x))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) eps (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x)))) (cos.f64 x)) #s(literal 1/2 binary64))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 x)) #s(literal -1/2 binary64) (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 x))) (fma.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 x)) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (sin.f64 x) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x)))) (cos.f64 x))))) (cos.f64 x))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (sin.f64 x) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x)))) (sin.f64 x))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) eps) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (sin.f64 x) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x)))) (cos.f64 x)))))) eps (.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 x)) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x)))) (sin.f64 x))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) eps (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x)))) (cos.f64 x)) #s(literal 1/2 binary64))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x)))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) eps (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 (fma.f64 eps (fma.f64 (neg.f64 eps) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)))) (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) #s(literal 1/2 binary64))) (.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 (fma.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) eps) #s(literal -2/3 binary64) (neg.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)))) eps (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+.f64 (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) eps)))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+.f64 (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (neg.f64 eps) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)))) eps)))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (+.f64 (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) eps) #s(literal -2/3 binary64) (neg.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)))) eps)))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) eps (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) (fma.f64 eps (fma.f64 (neg.f64 eps) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) (fma.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) eps) #s(literal -2/3 binary64) (neg.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)))) eps (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) (fma.f64 (+.f64 eps eps) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)))))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) (fma.f64 (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) #s(literal 2 binary64) (.f64 (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) eps) #s(literal -2 binary64))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)))))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4/3 binary64) eps) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) #s(literal -2 binary64))) eps (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) #s(literal 2 binary64))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)))))
#s(approx (+ (* (+ eps x) 2) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))) (cos.f64 (+.f64 x x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (.f64 (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (.f64 eps eps)) (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x))))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (.f64 (+.f64 (+.f64 (/.f64 (sin.f64 (neg.f64 (+.f64 x x))) (.f64 (.f64 eps eps) eps)) (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (.f64 (.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 eps eps) eps)) #s(literal 1/3 binary64)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (.f64 (.f64 (.f64 eps eps) eps) (+.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (.f64 eps eps)) (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (.f64 (-.f64 (+.f64 (/.f64 (sin.f64 (neg.f64 (+.f64 x x))) (.f64 (.f64 eps eps) eps)) (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 eps eps))) (.f64 (*.f64 eps eps) eps)))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) (.f64 (.f64 (*.f64 eps eps) (cos.f64 (+.f64 x x))) #s(literal 1/3 binary64)))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) (.f64 (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x)))) (*.f64 eps eps)))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) (.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (.f64 eps eps)) (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x))))) (.f64 eps eps)))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64)))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (.f64 (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x)))) eps))
#s(approx (+ eps x) (*.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 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))
#s(approx (+ (* (+ eps x) 2) (/ (PI) 2)) (+.f64 eps eps))
#s(approx (+ (* (+ eps x) 2) (/ (PI) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)) eps) #s(literal 2 binary64)) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (-.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (-.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (cos.f64 (+.f64 x x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (.f64 (fma.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x)) (neg.f64 (/.f64 (fma.f64 (sin.f64 (+.f64 x x)) #s(literal -2/3 binary64) (/.f64 (cos.f64 (+.f64 x x)) eps)) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (sin.f64 (+.f64 x x)) #s(literal -2/3 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) (cos.f64 (+.f64 x x))) eps)))) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (neg.f64 (.f64 (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal -2/3 binary64) (.f64 #s(literal -1/3 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (neg.f64 (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) eps)) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (neg.f64 (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) (cos.f64 (+.f64 x x))) eps))) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x)))) (.f64 (fma.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x)) (neg.f64 (/.f64 (fma.f64 (sin.f64 (+.f64 x x)) #s(literal -2/3 binary64) (/.f64 (cos.f64 (+.f64 x x)) eps)) eps))) (.f64 eps eps)))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal -2/3 binary64) (.f64 #s(literal -1/3 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (+ (cos x) (cos (+ eps x))) (+.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (cos (+ eps x)) (cos.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#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 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (-.f64 x (neg.f64 eps)) #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (-.f64 x (neg.f64 eps)) #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x x)))))
#s(approx (+ 1/2 (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2))))) (fma.f64 (sin.f64 (fma.f64 (-.f64 x (neg.f64 eps)) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (sin (+ (* (+ eps x) 2) (/ (PI) 2)))) (.f64 (sin.f64 (fma.f64 (-.f64 x (neg.f64 eps)) #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
#s(approx (sin (+ (* (+ eps x) 2) (/ (PI) 2))) (sin.f64 (fma.f64 (-.f64 x (neg.f64 eps)) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ eps x) 2) (/ (PI) 2)) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)) eps)) #s(literal 2 binary64))))

eval72.0ms (0.8%)

Memory: -40.9MiB live, 62.3MiB allocated; 16ms collecting garbage
Compiler: Compiled 8 909 to 2 653 computations (70.2% saved)

prune30.0ms (0.3%)

Memory

37.6MiB live, 37.6MiB allocated; 0ms collecting garbage

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	437	16	453
Fresh	5	16	21
Picked	2	3	5
Done	0	2	2
Total	444	37	481

Accuracy

99.9%

Counts

481 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.5%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	2.4%	(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	46.5%	(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 eps eps)) (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (sin.f64 (+.f64 eps eps)) (sin.f64 (.f64 #s(literal -2 binary64) x)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	46.3%	(/.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) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
▶	98.9%	(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (sin.f64 (+.f64 x x)))) eps)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
▶	46.3%	(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (+.f64 x eps) #s(literal 2 binary64)))) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	46.3%	(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	46.5%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
	46.5%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	46.3%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
✓	46.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	46.4%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (sin (+ (neg x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
	80.1%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	98.9%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
✓	98.6%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	97.7%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
▶	97.7%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	97.8%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps 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)) (sin.f64 x)) eps))
✓	74.5%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (*.f64 (neg.f64 eps) (sin.f64 x)))
	73.5%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
▶	73.4%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
	73.5%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
	97.1%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	96.8%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
	96.9%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	96.8%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x))))
▶	73.3%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x)))
	44.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(approx (* (cos x) eps) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
	98.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	96.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
	46.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
	46.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps))))
✓	46.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
	46.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))))

Compiler

Compiled 1 856 to 1 718 computations (7.4% saved)

series42.0ms (0.5%)

Memory

1.7MiB live, 48.7MiB allocated; 2ms collecting garbage

Counts

60 → 244

Calls

Call 1

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

Outputs
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 eps))) 1/2) (+ 1 (cos eps)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (- (+ (* 1/2 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (* x (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* 1/2 (/ 1 (+ 1 (cos eps)))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (- (+ (* 1/2 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (* x (- (+ (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* x (- (+ (* -1 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (/ 1 (+ 1 (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (/ (* (- (* -1/2 (cos eps)) 1/2) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* 1/2 (/ 1 (+ 1 (cos eps)))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (- (+ (* 1/2 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (* x (- (+ (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* x (- (+ (* -1 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (+ (* x (- (* 2/3 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (+ (* -1 (/ (cos (* 2 eps)) (+ 1 (cos eps)))) (/ 1 (+ 1 (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (/ (* (- (* -1/2 (cos eps)) 1/2) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (+ (* 1/6 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))) (/ (* (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))) (- (* -1/2 (cos eps)) 1/2)) (+ 1 (cos eps))))))) (/ 1 (+ 1 (cos eps))))) (+ (* -1 (/ (* (sin eps) (- (* -1 (/ (sin (* 2 eps)) (+ 1 (cos eps)))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2))))) (+ 1 (cos eps)))) (/ (* (- (* -1/2 (cos eps)) 1/2) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* -1 (/ (* (sin eps) (- (* 1/2 (cos (* 2 eps))) 1/2)) (pow (+ 1 (cos eps)) 2)))))) (* 1/2 (/ 1 (+ 1 (cos eps)))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 eps))) 1/2)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ (* -1 (* x (sin (* 2 eps)))) (* 1/2 (cos (* 2 eps)))) 1/2)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* x (+ 1 (* -1 (cos (* 2 eps)))))))) 1/2)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (+ (* 1/2 (cos (* 2 eps))) (* x (+ (* -1 (sin (* 2 eps))) (* x (+ 1 (+ (* -1 (cos (* 2 eps))) (* 2/3 (* x (sin (* 2 eps)))))))))) 1/2)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (+ (* eps (* x (- (* 4/3 (pow eps 2)) 2))) (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 4/3 (pow eps 2)) 2)) (* (pow eps 2) (* x (+ 2 (* -2/3 (pow eps 2))))))) (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 4/3 (pow eps 2)) 2)) (* x (+ (* eps (* x (+ 4/3 (* -8/9 (pow eps 2))))) (* (pow eps 2) (+ 2 (* -2/3 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* eps (- (* 1/3 (pow eps 2)) 1))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (+ (* eps (- (* 1/3 (pow eps 2)) 1)) (* x (- (* 4/3 (pow eps 2)) 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (+ (* eps (- (* 1/3 (pow eps 2)) 1)) (* x (- (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 2 (* -2/3 (pow eps 2)))))) 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (+ (* eps (- (* 1/3 (pow eps 2)) 1)) (* x (- (+ (* 4/3 (pow eps 2)) (* x (+ (* eps (+ 2 (* -2/3 (pow eps 2)))) (* x (+ 4/3 (* -8/9 (pow eps 2))))))) 2)))))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) #s(hole binary64 (+ (* 4/3 (* (pow eps 2) x)) (* eps (- (* 1/3 (pow eps 2)) 1)))))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) #s(hole binary64 (+ (* eps (- (* 1/3 (pow eps 2)) 1)) (* x (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 2 (* -2/3 (pow eps 2))))))))))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) #s(hole binary64 (+ (* eps (- (* 1/3 (pow eps 2)) 1)) (* x (+ (* 4/3 (pow eps 2)) (* x (+ (* -8/9 (* (pow eps 2) x)) (* eps (+ 2 (* -2/3 (pow eps 2)))))))))))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (- (* 1/3 (pow eps 2)) 1)))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (- (+ (* 1/3 (pow eps 2)) (* 4/3 (* eps x))) 1)))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (- (+ (* 1/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 2 (* -2/3 (pow eps 2))))))) 1)))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (- (+ (* 1/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 2 (+ (* -8/9 (* eps x)) (* -2/3 (pow eps 2)))))))) 1)))
#s(approx (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* 4/3 (* eps x)))))
#s(approx (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ (* -2/3 (* (pow eps 2) x)) (* 4/3 eps))))))
#s(approx (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ (* -8/9 (* eps x)) (* -2/3 (pow eps 2)))))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (* 1/3 eps)))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (+ (* 1/3 eps) (* 4/3 x))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 4/3 (* -2/3 (* eps x)))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 4/3 (* x (+ (* -8/9 x) (* -2/3 eps))))))))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 eps))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 (+ eps (* -2 (* eps (pow x 2))))))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -2 eps) (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -2 eps) (* (pow x 2) (+ (* -4/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* 4/3 x)))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* x (+ 4/3 (* -8/9 (pow x 2))))))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 8/45 (pow x 2)) 8/9))))))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 8/45 (* -16/945 (pow x 2)))) 8/9))))))
#s(approx (sin (+ x x)) #s(hole binary64 (* x (+ 2 (* -4/3 (pow x 2))))))
#s(approx (sin (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 4/15 (pow x 2)) 4/3))))))
#s(approx (sin (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/15 (* -8/315 (pow x 2)))) 4/3))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (cos eps))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (+ (cos eps) (* -1 (* x (sin eps)))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (+ (cos eps) (* x (- (* x (- (* -1/2 (cos eps)) 1/2)) (sin eps)))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (+ (cos eps) (* x (- (* x (- (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))) 1/2)) (sin eps)))))))
#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 (+ eps x)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (sin 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 (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* 1/120 (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- (* (* (cos x) eps) -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) (* 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 (* -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 (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 eps))) 1))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (+ (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 eps))) 1)) (* x (cos (+ (* 1/2 (PI)) (* 2 eps)))))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (+ (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 eps))) 1)) (* x (+ (cos (+ (* 1/2 (PI)) (* 2 eps))) (* 1/2 (* x (+ 2 (* -2 (sin (+ (* 1/2 (PI)) (* 2 eps))))))))))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (+ (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 eps))) 1)) (* x (+ (cos (+ (* 1/2 (PI)) (* 2 eps))) (* x (+ (* -2/3 (* x (cos (+ (* 1/2 (PI)) (* 2 eps))))) (* 1/2 (+ 2 (* -2 (sin (+ (* 1/2 (PI)) (* 2 eps)))))))))))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (sin (+ (* 1/2 (PI)) (* 2 eps))) 1)))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (+ (sin (+ (* 1/2 (PI)) (* 2 eps))) (* 2 (* x (cos (+ (* 1/2 (PI)) (* 2 eps)))))) 1)))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (+ (sin (+ (* 1/2 (PI)) (* 2 eps))) (* x (+ (* 2 (cos (+ (* 1/2 (PI)) (* 2 eps)))) (* x (+ 2 (* -2 (sin (+ (* 1/2 (PI)) (* 2 eps))))))))) 1)))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (+ (sin (+ (* 1/2 (PI)) (* 2 eps))) (* x (+ (* 2 (cos (+ (* 1/2 (PI)) (* 2 eps)))) (* x (+ 2 (+ (* -2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) (* -4/3 (* x (cos (+ (* 1/2 (PI)) (* 2 eps))))))))))) 1)))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 2 eps)))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 (PI)) (* 2 eps))) (* 2 (* x (cos (+ (* 1/2 (PI)) (* 2 eps))))))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 (PI)) (* 2 eps))) (* x (+ (* -2 (* x (sin (+ (* 1/2 (PI)) (* 2 eps))))) (* 2 (cos (+ (* 1/2 (PI)) (* 2 eps)))))))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 (PI)) (* 2 eps))) (* x (+ (* 2 (cos (+ (* 1/2 (PI)) (* 2 eps)))) (* x (+ (* -2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) (* -4/3 (* x (cos (+ (* 1/2 (PI)) (* 2 eps))))))))))))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 eps))))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (+ (* 2 eps) (* 2 x)))))
#s(approx (* (+ x eps) 2) #s(hole binary64 (* 2 eps)))
#s(approx (* (+ x eps) 2) #s(hole binary64 (+ (* 2 eps) (* 2 x))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (+ eps x))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* eps (- (* eps (- (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x))))) (cos (* 2 x)))) (sin (* 2 x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (- (* eps (- (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x))))) (cos (* 2 x)))) (sin (* 2 x)))))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) #s(hole binary64 (* eps (- (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x))))) (cos (* 2 x))))))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (- (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x))))) (cos (* 2 x)))))
#s(approx (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) #s(hole binary64 (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x)))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x))))))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 (* eps (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* 2/3 (sin (* 2 x)))))
#s(approx (sin (+ x x)) #s(hole binary64 (sin (* 2 x))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos x) (cos (+ eps x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 (+ eps x)))) (cos (* 2 x))))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (sin (+ (* 1/2 (PI)) (* 2 (+ eps x)))) (cos (* 2 x)))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 2 (+ eps x))))))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) #s(hole binary64 (* x (+ 2 (+ (* 1/2 (/ (PI) x)) (* 2 (/ eps x)))))))
#s(approx (* (+ x eps) 2) #s(hole binary64 (* x (+ 2 (* 2 (/ eps x))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 (- eps (* -1 x))))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (- eps (* -1 x)))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 (- eps (* -1 x))))) (* 1/2 (cos (* 2 x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* eps (- (* eps (- (* eps (+ (* 1/3 (* eps (cos (neg (* -2 x))))) (* 2/3 (sin (neg (* -2 x)))))) (cos (neg (* -2 x))))) (sin (neg (* -2 x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (- (* eps (- (* eps (+ (* 1/3 (* eps (cos (neg (* -2 x))))) (* 2/3 (sin (neg (* -2 x)))))) (cos (neg (* -2 x))))) (sin (neg (* -2 x))))))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) #s(hole binary64 (* eps (- (* eps (+ (* 1/3 (* eps (cos (neg (* -2 x))))) (* 2/3 (sin (neg (* -2 x)))))) (cos (neg (* -2 x)))))))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (- (* eps (+ (* 1/3 (* eps (cos (neg (* -2 x))))) (* 2/3 (sin (neg (* -2 x)))))) (cos (neg (* -2 x))))))
#s(approx (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) #s(hole binary64 (* eps (+ (* 1/3 (* eps (cos (neg (* -2 x))))) (* 2/3 (sin (neg (* -2 x))))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (+ (* 1/3 (* eps (cos (neg (* -2 x))))) (* 2/3 (sin (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 (* eps (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* 2/3 (sin (neg (* -2 x))))))
#s(approx (sin (+ x x)) #s(hole binary64 (sin (neg (* -2 x)))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos x) (cos (- eps (* -1 x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 (- eps (* -1 x))))) (cos (neg (* -2 x)))))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (sin (+ (* 1/2 (PI)) (* 2 (- eps (* -1 x))))) (cos (neg (* -2 x))))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 2 (- eps (* -1 x)))))))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* 1/2 (PI)) (* 2 eps)) x)) 2)))))
#s(approx (* (+ x eps) 2) #s(hole binary64 (* -1 (* x (- (* -2 (/ eps x)) 2)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (* -1/2 (/ (* eps (sin (* 2 x))) (cos x)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin (* 2 x)) (cos x))) (* eps (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin (* 2 x)) (cos x))) (* eps (- (+ (* -1/2 (/ (cos (* 2 x)) (cos x))) (* eps (- (* 1/3 (/ (sin (* 2 x)) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (cos x))) (* 1/8 (/ (sin (* 2 x)) (cos x))))))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin (* 2 x)) (cos x))) (* eps (- (+ (* -1/2 (/ (cos (* 2 x)) (cos x))) (* eps (- (+ (* 1/3 (/ (sin (* 2 x)) (cos x))) (* eps (- (* 1/6 (/ (cos (* 2 x)) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* 1/3 (/ (sin (* 2 x)) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (cos x))) (* 1/8 (/ (sin (* 2 x)) (cos x)))))) (cos x))) (+ (* -1/4 (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (* -1/24 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))) (+ (* -1/2 (/ (* (sin x) (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (cos x))) (* 1/8 (/ (sin (* 2 x)) (cos x))))))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* -1 (* eps (sin (* 2 x))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* eps (+ (* -1 (sin (* 2 x))) (* -1 (* eps (cos (* 2 x))))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* eps (+ (* -1 (sin (* 2 x))) (* eps (+ (* -1 (cos (* 2 x))) (* 2/3 (* eps (sin (* 2 x))))))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* eps (+ (* -1 (sin (* 2 x))) (* eps (+ (* -1 (cos (* 2 x))) (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* -1 (sin (* 2 x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (- (* -1 (* eps (cos (* 2 x)))) (sin (* 2 x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (- (* eps (+ (* -1 (cos (* 2 x))) (* 2/3 (* eps (sin (* 2 x)))))) (sin (* 2 x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (- (* eps (+ (* -1 (cos (* 2 x))) (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x))))))) (sin (* 2 x)))))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) #s(hole binary64 (* -1 (* eps (cos (* 2 x))))))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) #s(hole binary64 (* eps (+ (* -1 (cos (* 2 x))) (* 2/3 (* eps (sin (* 2 x))))))))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) #s(hole binary64 (* eps (+ (* -1 (cos (* 2 x))) (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x)))))))))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (* -1 (cos (* 2 x)))))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (- (* 2/3 (* eps (sin (* 2 x)))) (cos (* 2 x)))))
#s(approx (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) #s(hole binary64 (* 2/3 (* eps (sin (* 2 x))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (* 2 (cos x))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* -1 (* eps (sin x))) (* 2 (cos x)))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* 2 (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* 2 (cos x)) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 x))) (cos (* 2 x))))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (+ (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 x))) (cos (* 2 x)))) (* eps (cos (+ (* 1/2 (PI)) (* 2 x)))))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (+ (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 x))) (cos (* 2 x)))) (* eps (+ (cos (+ (* 1/2 (PI)) (* 2 x))) (* -1 (* eps (sin (+ (* 1/2 (PI)) (* 2 x))))))))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (+ (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 x))) (cos (* 2 x)))) (* eps (+ (cos (+ (* 1/2 (PI)) (* 2 x))) (* eps (+ (* -1 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* -2/3 (* eps (cos (+ (* 1/2 (PI)) (* 2 x))))))))))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (sin (+ (* 1/2 (PI)) (* 2 x))) (cos (* 2 x)))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (+ (sin (+ (* 1/2 (PI)) (* 2 x))) (* 2 (* eps (cos (+ (* 1/2 (PI)) (* 2 x)))))) (cos (* 2 x)))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (+ (sin (+ (* 1/2 (PI)) (* 2 x))) (* eps (+ (* -2 (* eps (sin (+ (* 1/2 (PI)) (* 2 x))))) (* 2 (cos (+ (* 1/2 (PI)) (* 2 x))))))) (cos (* 2 x)))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (+ (sin (+ (* 1/2 (PI)) (* 2 x))) (* eps (+ (* 2 (cos (+ (* 1/2 (PI)) (* 2 x)))) (* eps (+ (* -2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* -4/3 (* eps (cos (+ (* 1/2 (PI)) (* 2 x)))))))))) (cos (* 2 x)))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 2 x)))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 (PI)) (* 2 x))) (* 2 (* eps (cos (+ (* 1/2 (PI)) (* 2 x))))))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 (PI)) (* 2 x))) (* eps (+ (* -2 (* eps (sin (+ (* 1/2 (PI)) (* 2 x))))) (* 2 (cos (+ (* 1/2 (PI)) (* 2 x)))))))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 (PI)) (* 2 x))) (* eps (+ (* 2 (cos (+ (* 1/2 (PI)) (* 2 x)))) (* eps (+ (* -2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* -4/3 (* eps (cos (+ (* 1/2 (PI)) (* 2 x))))))))))))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* 1/3 (* (pow eps 4) (cos (* 2 x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (cos (* 2 x)) (pow eps 2))) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (cos (* 2 x)) (pow eps 2))) (+ (* -1 (/ (sin (* 2 x)) (pow eps 3))) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* 1/3 (* (pow eps 3) (cos (* 2 x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* (pow eps 3) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (cos (* 2 x)) (pow eps 2))) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (/ (sin (* 2 x)) (pow eps 3))) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps)))) (/ (cos (* 2 x)) (pow eps 2))))))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (* 1/3 (* (pow eps 2) (cos (* 2 x))))))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (* (pow eps 2) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps))))))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (cos (* 2 x)) (pow eps 2))) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps)))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (* 1/3 (* eps (cos (* 2 x))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (* eps (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps))))))
#s(approx (+ eps x) #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 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) #s(hole binary64 (* eps (+ 2 (+ (* 1/2 (/ (PI) eps)) (* 2 (/ x eps)))))))
#s(approx (* (+ x eps) 2) #s(hole binary64 (* eps (+ 2 (* 2 (/ x eps))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 (- x (* -1 eps))))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (- x (* -1 eps)))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 (- x (* -1 eps))))) (* 1/2 (cos (* 2 x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -2/3 (sin (* 2 x))) (/ (cos (* 2 x)) eps)) eps)) (* 1/3 (cos (* 2 x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos (* 2 x))) (* -1 (/ (sin (* 2 x)) eps))) eps)) (* -2/3 (sin (* 2 x)))) eps)) (* 1/3 (cos (* 2 x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -2/3 (/ (sin (* 2 x)) eps)) (* -1/3 (cos (* 2 x))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (cos (* 2 x)) eps)) (* 2/3 (sin (* 2 x)))) eps)) (* -1/3 (cos (* 2 x))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (cos (* 2 x)) (/ (sin (* 2 x)) eps)) eps)) (* 2/3 (sin (* 2 x)))) eps)) (* -1/3 (cos (* 2 x))))))))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -2/3 (sin (* 2 x))) (/ (cos (* 2 x)) eps)) eps)) (* 1/3 (cos (* 2 x)))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (* -1 (* eps (+ (* -2/3 (/ (sin (* 2 x)) eps)) (* -1/3 (cos (* 2 x))))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos x) (cos (- x (* -1 eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 (- x (* -1 eps))))) (cos (* 2 x))))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (sin (+ (* 1/2 (PI)) (* 2 (- x (* -1 eps))))) (cos (* 2 x)))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 2 (- x (* -1 eps)))))))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (* 1/2 (PI)) (* 2 x)) eps)) 2)))))
#s(approx (* (+ x eps) 2) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (- (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) (sin (+ x x))) (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (* (cos (+ x x)) eps) (cos (+ x x)) (+ x x) x eps 1/3 (* (sin (+ x x)) 2/3) (sin (+ x x)) 2/3 (+ (cos x) (cos (+ eps x))) (cos x) (cos (+ eps x)) (+ eps x) (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (* (neg eps) (sin x)) (* (neg eps) x) (neg eps) (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x) 1/6 1 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 1/2 -1/2 (sin x) (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (+ (* (PI) 1/2) (* (+ x eps) 2)) (PI) (* (+ x eps) 2) (+ x eps) 2)
6.0ms	x	@	inf	((/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (- (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) (sin (+ x x))) (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (* (cos (+ x x)) eps) (cos (+ x x)) (+ x x) x eps 1/3 (* (sin (+ x x)) 2/3) (sin (+ x x)) 2/3 (+ (cos x) (cos (+ eps x))) (cos x) (cos (+ eps x)) (+ eps x) (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (* (neg eps) (sin x)) (* (neg eps) x) (neg eps) (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x) 1/6 1 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 1/2 -1/2 (sin x) (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (+ (* (PI) 1/2) (* (+ x eps) 2)) (PI) (* (+ x eps) 2) (+ x eps) 2)
6.0ms	x	@	-inf	((/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (- (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) (sin (+ x x))) (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (* (cos (+ x x)) eps) (cos (+ x x)) (+ x x) x eps 1/3 (* (sin (+ x x)) 2/3) (sin (+ x x)) 2/3 (+ (cos x) (cos (+ eps x))) (cos x) (cos (+ eps x)) (+ eps x) (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (* (neg eps) (sin x)) (* (neg eps) x) (neg eps) (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x) 1/6 1 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 1/2 -1/2 (sin x) (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (+ (* (PI) 1/2) (* (+ x eps) 2)) (PI) (* (+ x eps) 2) (+ x eps) 2)
5.0ms	eps	@	-inf	((/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (- (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) (sin (+ x x))) (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (* (cos (+ x x)) eps) (cos (+ x x)) (+ x x) x eps 1/3 (* (sin (+ x x)) 2/3) (sin (+ x x)) 2/3 (+ (cos x) (cos (+ eps x))) (cos x) (cos (+ eps x)) (+ eps x) (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (* (neg eps) (sin x)) (* (neg eps) x) (neg eps) (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (* (neg eps) (sin x)) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x) 1/6 1 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 1/2 -1/2 (sin x) (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (+ (* (PI) 1/2) (* (+ x eps) 2)) (PI) (* (+ x eps) 2) (+ x eps) 2)
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rewrite234.0ms (2.7%)

Memory

1.1MiB live, 224.9MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1123	9287
0	1199	8931
1	7023	8931
0	8163	8572

Stop Event

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

Counts

304 → 448

Calls

Call 1

Inputs
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#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (+ (* eps (* x (- (* 4/3 (pow eps 2)) 2))) (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 4/3 (pow eps 2)) 2)) (* (pow eps 2) (* x (+ 2 (* -2/3 (pow eps 2))))))) (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 4/3 (pow eps 2)) 2)) (* x (+ (* eps (* x (+ 4/3 (* -8/9 (pow eps 2))))) (* (pow eps 2) (+ 2 (* -2/3 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/3 (pow eps 2)) 1)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* eps (- (* 1/3 (pow eps 2)) 1))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (+ (* eps (- (* 1/3 (pow eps 2)) 1)) (* x (- (* 4/3 (pow eps 2)) 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (+ (* eps (- (* 1/3 (pow eps 2)) 1)) (* x (- (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 2 (* -2/3 (pow eps 2)))))) 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (+ (* eps (- (* 1/3 (pow eps 2)) 1)) (* x (- (+ (* 4/3 (pow eps 2)) (* x (+ (* eps (+ 2 (* -2/3 (pow eps 2)))) (* x (+ 4/3 (* -8/9 (pow eps 2))))))) 2)))))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) #s(hole binary64 (+ (* 4/3 (* (pow eps 2) x)) (* eps (- (* 1/3 (pow eps 2)) 1)))))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) #s(hole binary64 (+ (* eps (- (* 1/3 (pow eps 2)) 1)) (* x (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 2 (* -2/3 (pow eps 2))))))))))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) #s(hole binary64 (+ (* eps (- (* 1/3 (pow eps 2)) 1)) (* x (+ (* 4/3 (pow eps 2)) (* x (+ (* -8/9 (* (pow eps 2) x)) (* eps (+ 2 (* -2/3 (pow eps 2)))))))))))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (- (* 1/3 (pow eps 2)) 1)))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (- (+ (* 1/3 (pow eps 2)) (* 4/3 (* eps x))) 1)))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (- (+ (* 1/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 2 (* -2/3 (pow eps 2))))))) 1)))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (- (+ (* 1/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 2 (+ (* -8/9 (* eps x)) (* -2/3 (pow eps 2)))))))) 1)))
#s(approx (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) #s(hole binary64 (* 1/3 (pow eps 2))))
#s(approx (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* 4/3 (* eps x)))))
#s(approx (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ (* -2/3 (* (pow eps 2) x)) (* 4/3 eps))))))
#s(approx (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) #s(hole binary64 (+ (* 1/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ (* -8/9 (* eps x)) (* -2/3 (pow eps 2)))))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (* 1/3 eps)))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (+ (* 1/3 eps) (* 4/3 x))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 4/3 (* -2/3 (* eps x)))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (+ (* 1/3 eps) (* x (+ 4/3 (* x (+ (* -8/9 x) (* -2/3 eps))))))))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 eps))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 (+ eps (* -2 (* eps (pow x 2))))))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -2 eps) (* 2/3 (* eps (pow x 2))))))))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -2 eps) (* (pow x 2) (+ (* -4/45 (* eps (pow x 2))) (* 2/3 eps))))))))
#s(approx (cos (+ x x)) #s(hole binary64 1))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* -2 (pow x 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))))
#s(approx (cos (+ x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* 4/3 x)))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* x (+ 4/3 (* -8/9 (pow x 2))))))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 8/45 (pow x 2)) 8/9))))))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 8/45 (* -16/945 (pow x 2)))) 8/9))))))
#s(approx (sin (+ x x)) #s(hole binary64 (* x (+ 2 (* -4/3 (pow x 2))))))
#s(approx (sin (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 4/15 (pow x 2)) 4/3))))))
#s(approx (sin (+ x x)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/15 (* -8/315 (pow x 2)))) 4/3))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (cos eps))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (+ (cos eps) (* -1 (* x (sin eps)))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (+ (cos eps) (* x (- (* x (- (* -1/2 (cos eps)) 1/2)) (sin eps)))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ 1 (+ (cos eps) (* x (- (* x (- (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))) 1/2)) (sin eps)))))))
#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 (+ eps x)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (sin 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 (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* 1/120 (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- (* (* (cos x) eps) -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) (* 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 (* -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 (- (* 1/24 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 eps))) 1))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (+ (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 eps))) 1)) (* x (cos (+ (* 1/2 (PI)) (* 2 eps)))))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (+ (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 eps))) 1)) (* x (+ (cos (+ (* 1/2 (PI)) (* 2 eps))) (* 1/2 (* x (+ 2 (* -2 (sin (+ (* 1/2 (PI)) (* 2 eps))))))))))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (+ (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 eps))) 1)) (* x (+ (cos (+ (* 1/2 (PI)) (* 2 eps))) (* x (+ (* -2/3 (* x (cos (+ (* 1/2 (PI)) (* 2 eps))))) (* 1/2 (+ 2 (* -2 (sin (+ (* 1/2 (PI)) (* 2 eps)))))))))))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (sin (+ (* 1/2 (PI)) (* 2 eps))) 1)))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (+ (sin (+ (* 1/2 (PI)) (* 2 eps))) (* 2 (* x (cos (+ (* 1/2 (PI)) (* 2 eps)))))) 1)))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (+ (sin (+ (* 1/2 (PI)) (* 2 eps))) (* x (+ (* 2 (cos (+ (* 1/2 (PI)) (* 2 eps)))) (* x (+ 2 (* -2 (sin (+ (* 1/2 (PI)) (* 2 eps))))))))) 1)))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (+ (sin (+ (* 1/2 (PI)) (* 2 eps))) (* x (+ (* 2 (cos (+ (* 1/2 (PI)) (* 2 eps)))) (* x (+ 2 (+ (* -2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) (* -4/3 (* x (cos (+ (* 1/2 (PI)) (* 2 eps))))))))))) 1)))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 2 eps)))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 (PI)) (* 2 eps))) (* 2 (* x (cos (+ (* 1/2 (PI)) (* 2 eps))))))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 (PI)) (* 2 eps))) (* x (+ (* -2 (* x (sin (+ (* 1/2 (PI)) (* 2 eps))))) (* 2 (cos (+ (* 1/2 (PI)) (* 2 eps)))))))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 (PI)) (* 2 eps))) (* x (+ (* 2 (cos (+ (* 1/2 (PI)) (* 2 eps)))) (* x (+ (* -2 (sin (+ (* 1/2 (PI)) (* 2 eps)))) (* -4/3 (* x (cos (+ (* 1/2 (PI)) (* 2 eps))))))))))))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 eps))))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (+ (* 2 eps) (* 2 x)))))
#s(approx (* (+ x eps) 2) #s(hole binary64 (* 2 eps)))
#s(approx (* (+ x eps) 2) #s(hole binary64 (+ (* 2 eps) (* 2 x))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (+ eps x))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 (+ eps x)))) (* 1/2 (cos (* 2 x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* eps (- (* eps (- (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x))))) (cos (* 2 x)))) (sin (* 2 x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (- (* eps (- (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x))))) (cos (* 2 x)))) (sin (* 2 x)))))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) #s(hole binary64 (* eps (- (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x))))) (cos (* 2 x))))))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (- (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x))))) (cos (* 2 x)))))
#s(approx (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) #s(hole binary64 (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x)))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x))))))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 (* eps (cos (* 2 x)))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (* 2 x))))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* 2/3 (sin (* 2 x)))))
#s(approx (sin (+ x x)) #s(hole binary64 (sin (* 2 x))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos x) (cos (+ eps x)))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 (+ eps x)))) (cos (* 2 x))))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (sin (+ (* 1/2 (PI)) (* 2 (+ eps x)))) (cos (* 2 x)))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 2 (+ eps x))))))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) #s(hole binary64 (* x (+ 2 (+ (* 1/2 (/ (PI) x)) (* 2 (/ eps x)))))))
#s(approx (* (+ x eps) 2) #s(hole binary64 (* x (+ 2 (* 2 (/ eps x))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 (- eps (* -1 x))))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (- eps (* -1 x)))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 (- eps (* -1 x))))) (* 1/2 (cos (* 2 x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* eps (- (* eps (- (* eps (+ (* 1/3 (* eps (cos (neg (* -2 x))))) (* 2/3 (sin (neg (* -2 x)))))) (cos (neg (* -2 x))))) (sin (neg (* -2 x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (- (* eps (- (* eps (+ (* 1/3 (* eps (cos (neg (* -2 x))))) (* 2/3 (sin (neg (* -2 x)))))) (cos (neg (* -2 x))))) (sin (neg (* -2 x))))))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) #s(hole binary64 (* eps (- (* eps (+ (* 1/3 (* eps (cos (neg (* -2 x))))) (* 2/3 (sin (neg (* -2 x)))))) (cos (neg (* -2 x)))))))
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#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (+ (* 1/3 (* eps (cos (neg (* -2 x))))) (* 2/3 (sin (neg (* -2 x)))))))
#s(approx (* (cos (+ x x)) eps) #s(hole binary64 (* eps (cos (neg (* -2 x))))))
#s(approx (cos (+ x x)) #s(hole binary64 (cos (neg (* -2 x)))))
#s(approx (* (sin (+ x x)) 2/3) #s(hole binary64 (* 2/3 (sin (neg (* -2 x))))))
#s(approx (sin (+ x x)) #s(hole binary64 (sin (neg (* -2 x)))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos x) (cos (- eps (* -1 x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 (- eps (* -1 x))))) (cos (neg (* -2 x)))))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (sin (+ (* 1/2 (PI)) (* 2 (- eps (* -1 x))))) (cos (neg (* -2 x))))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 2 (- eps (* -1 x)))))))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (* 1/2 (PI)) (* 2 eps)) x)) 2)))))
#s(approx (* (+ x eps) 2) #s(hole binary64 (* -1 (* x (- (* -2 (/ eps x)) 2)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (* -1/2 (/ (* eps (sin (* 2 x))) (cos x)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin (* 2 x)) (cos x))) (* eps (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin (* 2 x)) (cos x))) (* eps (- (+ (* -1/2 (/ (cos (* 2 x)) (cos x))) (* eps (- (* 1/3 (/ (sin (* 2 x)) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (cos x))) (* 1/8 (/ (sin (* 2 x)) (cos x))))))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin (* 2 x)) (cos x))) (* eps (- (+ (* -1/2 (/ (cos (* 2 x)) (cos x))) (* eps (- (+ (* 1/3 (/ (sin (* 2 x)) (cos x))) (* eps (- (* 1/6 (/ (cos (* 2 x)) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* 1/3 (/ (sin (* 2 x)) (cos x))) (+ (* -1/2 (/ (* (sin x) (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (cos x))) (* 1/8 (/ (sin (* 2 x)) (cos x)))))) (cos x))) (+ (* -1/4 (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (* -1/24 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))) (+ (* -1/2 (/ (* (sin x) (- (* -1/2 (/ (cos (* 2 x)) (cos x))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2))))) (cos x))) (* 1/8 (/ (sin (* 2 x)) (cos x))))))) (* 1/4 (/ (* (sin x) (sin (* 2 x))) (pow (cos x) 2)))))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* -1 (* eps (sin (* 2 x))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* eps (+ (* -1 (sin (* 2 x))) (* -1 (* eps (cos (* 2 x))))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* eps (+ (* -1 (sin (* 2 x))) (* eps (+ (* -1 (cos (* 2 x))) (* 2/3 (* eps (sin (* 2 x))))))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* eps (+ (* -1 (sin (* 2 x))) (* eps (+ (* -1 (cos (* 2 x))) (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* -1 (sin (* 2 x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (- (* -1 (* eps (cos (* 2 x)))) (sin (* 2 x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (- (* eps (+ (* -1 (cos (* 2 x))) (* 2/3 (* eps (sin (* 2 x)))))) (sin (* 2 x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (- (* eps (+ (* -1 (cos (* 2 x))) (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x))))))) (sin (* 2 x)))))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) #s(hole binary64 (* -1 (* eps (cos (* 2 x))))))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) #s(hole binary64 (* eps (+ (* -1 (cos (* 2 x))) (* 2/3 (* eps (sin (* 2 x))))))))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) #s(hole binary64 (* eps (+ (* -1 (cos (* 2 x))) (* eps (+ (* 1/3 (* eps (cos (* 2 x)))) (* 2/3 (sin (* 2 x)))))))))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (* -1 (cos (* 2 x)))))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (- (* 2/3 (* eps (sin (* 2 x)))) (cos (* 2 x)))))
#s(approx (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) #s(hole binary64 (* 2/3 (* eps (sin (* 2 x))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (* 2 (cos x))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* -1 (* eps (sin x))) (* 2 (cos x)))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* 2 (cos x)) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (* 2 (cos x)) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 x))) (cos (* 2 x))))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (+ (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 x))) (cos (* 2 x)))) (* eps (cos (+ (* 1/2 (PI)) (* 2 x)))))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (+ (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 x))) (cos (* 2 x)))) (* eps (+ (cos (+ (* 1/2 (PI)) (* 2 x))) (* -1 (* eps (sin (+ (* 1/2 (PI)) (* 2 x))))))))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (+ (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 x))) (cos (* 2 x)))) (* eps (+ (cos (+ (* 1/2 (PI)) (* 2 x))) (* eps (+ (* -1 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* -2/3 (* eps (cos (+ (* 1/2 (PI)) (* 2 x))))))))))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (sin (+ (* 1/2 (PI)) (* 2 x))) (cos (* 2 x)))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (+ (sin (+ (* 1/2 (PI)) (* 2 x))) (* 2 (* eps (cos (+ (* 1/2 (PI)) (* 2 x)))))) (cos (* 2 x)))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (+ (sin (+ (* 1/2 (PI)) (* 2 x))) (* eps (+ (* -2 (* eps (sin (+ (* 1/2 (PI)) (* 2 x))))) (* 2 (cos (+ (* 1/2 (PI)) (* 2 x))))))) (cos (* 2 x)))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (+ (sin (+ (* 1/2 (PI)) (* 2 x))) (* eps (+ (* 2 (cos (+ (* 1/2 (PI)) (* 2 x)))) (* eps (+ (* -2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* -4/3 (* eps (cos (+ (* 1/2 (PI)) (* 2 x)))))))))) (cos (* 2 x)))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 2 x)))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 (PI)) (* 2 x))) (* 2 (* eps (cos (+ (* 1/2 (PI)) (* 2 x))))))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 (PI)) (* 2 x))) (* eps (+ (* -2 (* eps (sin (+ (* 1/2 (PI)) (* 2 x))))) (* 2 (cos (+ (* 1/2 (PI)) (* 2 x)))))))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (+ (sin (+ (* 1/2 (PI)) (* 2 x))) (* eps (+ (* 2 (cos (+ (* 1/2 (PI)) (* 2 x)))) (* eps (+ (* -2 (sin (+ (* 1/2 (PI)) (* 2 x)))) (* -4/3 (* eps (cos (+ (* 1/2 (PI)) (* 2 x))))))))))))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 2 x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* 1/3 (* (pow eps 4) (cos (* 2 x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (cos (* 2 x)) (pow eps 2))) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (cos (* 2 x)) (pow eps 2))) (+ (* -1 (/ (sin (* 2 x)) (pow eps 3))) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* 1/3 (* (pow eps 3) (cos (* 2 x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* (pow eps 3) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (cos (* 2 x)) (pow eps 2))) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (/ (sin (* 2 x)) (pow eps 3))) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps)))) (/ (cos (* 2 x)) (pow eps 2))))))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (* 1/3 (* (pow eps 2) (cos (* 2 x))))))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (* (pow eps 2) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps))))))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (cos (* 2 x)) (pow eps 2))) (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps)))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (* 1/3 (* eps (cos (* 2 x))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (* eps (+ (* 1/3 (cos (* 2 x))) (* 2/3 (/ (sin (* 2 x)) eps))))))
#s(approx (+ eps x) #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 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) #s(hole binary64 (* eps (+ 2 (+ (* 1/2 (/ (PI) eps)) (* 2 (/ x eps)))))))
#s(approx (* (+ x eps) 2) #s(hole binary64 (* eps (+ 2 (* 2 (/ x eps))))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(hole binary64 (/ (- (* 1/2 (cos (* 2 (- x (* -1 eps))))) (* 1/2 (cos (* 2 x)))) (+ (cos x) (cos (- x (* -1 eps)))))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (- (* 1/2 (cos (* 2 (- x (* -1 eps))))) (* 1/2 (cos (* 2 x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -2/3 (sin (* 2 x))) (/ (cos (* 2 x)) eps)) eps)) (* 1/3 (cos (* 2 x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (cos (* 2 x))) (* -1 (/ (sin (* 2 x)) eps))) eps)) (* -2/3 (sin (* 2 x)))) eps)) (* 1/3 (cos (* 2 x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -2/3 (/ (sin (* 2 x)) eps)) (* -1/3 (cos (* 2 x))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (cos (* 2 x)) eps)) (* 2/3 (sin (* 2 x)))) eps)) (* -1/3 (cos (* 2 x))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (cos (* 2 x)) (/ (sin (* 2 x)) eps)) eps)) (* 2/3 (sin (* 2 x)))) eps)) (* -1/3 (cos (* 2 x))))))))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -2/3 (sin (* 2 x))) (/ (cos (* 2 x)) eps)) eps)) (* 1/3 (cos (* 2 x)))))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) #s(hole binary64 (* -1 (* eps (+ (* -2/3 (/ (sin (* 2 x)) eps)) (* -1/3 (cos (* 2 x))))))))
#s(approx (+ (cos x) (cos (+ eps x))) #s(hole binary64 (+ (cos x) (cos (- x (* -1 eps))))))
#s(approx (cos (+ eps x)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) #s(hole binary64 (* 1/2 (- (sin (+ (* 1/2 (PI)) (* 2 (- x (* -1 eps))))) (cos (* 2 x))))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) #s(hole binary64 (- (sin (+ (* 1/2 (PI)) (* 2 (- x (* -1 eps))))) (cos (* 2 x)))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 2 (- x (* -1 eps)))))))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (* 1/2 (PI)) (* 2 x)) eps)) 2)))))
#s(approx (* (+ x eps) 2) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 2)))))

Outputs
(/.f64 (neg.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (sin.f64 (+.f64 x x)))) eps))) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (sin.f64 (+.f64 x x)))) eps)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (sin.f64 (+.f64 x x)))) eps))
(.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (sin.f64 (+.f64 x x)))) eps)
(.f64 eps #s(approx (+ ( eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (sin.f64 (+.f64 x x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (sin.f64 (+.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps)) (.f64 (sin.f64 (+.f64 x x)) (sin.f64 (+.f64 x x)))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps (sin.f64 (+.f64 x x))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 (+.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (fma.f64 (sin.f64 (+.f64 x x)) (sin.f64 (+.f64 x x)) (.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (sin.f64 (+.f64 x x))))))
(-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (sin.f64 (+.f64 x x)))
(.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps)
(.f64 eps (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps)) (.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)))) (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (cos.f64 (+.f64 x x))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (fma.f64 (cos.f64 (+.f64 x x)) (cos.f64 (+.f64 x x)) (.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))))))
(-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x)))
(.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps)
(.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))))
(fma.f64 (.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64)) eps (.f64 (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64)) eps))
(fma.f64 eps (.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64)) (.f64 eps (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))))
(+.f64 (.f64 eps (.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64))) (.f64 eps (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64)) eps) (.f64 (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64)) eps))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64)) (.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64))) (.f64 (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64)) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64)))) (-.f64 (.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64)) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64)) (.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64)) (-.f64 (.f64 (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64)) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (.f64 (.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64)) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))))))
(fma.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64) (.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64)))
(fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64)))
(fma.f64 (.f64 #s(literal 1/3 binary64) eps) (cos.f64 (+.f64 x x)) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64)))
(fma.f64 #s(literal 2/3 binary64) (sin.f64 (+.f64 x x)) (.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (.f64 (cos.f64 (+.f64 x x)) eps) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64)))
(fma.f64 (cos.f64 (+.f64 x x)) (.f64 #s(literal 1/3 binary64) eps) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64)))
(-.f64 (.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64)) (*.f64 (sin.f64 (neg.f64 (+.f64 x x))) #s(literal 2/3 binary64)))
(-.f64 (.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64)) (*.f64 (sin.f64 (+.f64 x x)) #s(literal -2/3 binary64)))
(+.f64 (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64)) (.f64 (*.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64)) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64)))
(*.f64 (cos.f64 (+.f64 x x)) eps)
(*.f64 eps (cos.f64 (+.f64 x x)))
(sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (+.f64 x x)))
(cos.f64 (*.f64 #s(literal -2 binary64) x))
(cos.f64 (+.f64 x x))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 x x)
x
eps
#s(literal 1/3 binary64)
(*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) (sin.f64 (+.f64 x x)))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 x) (cos.f64 x)))
(neg.f64 (sin.f64 (*.f64 #s(literal -2 binary64) x)))
(sin.f64 (+.f64 x x))
(fma.f64 (sin.f64 x) (cos.f64 x) (*.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) (cos.f64 x)) (.f64 (cos.f64 x) (sin.f64 x)))
#s(literal 2/3 binary64)
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (+.f64 x eps)) (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (+.f64 x eps)) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (+.f64 x eps)) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (+.f64 x eps)) x) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x eps) (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x eps) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 (+.f64 x eps))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 (+.f64 x eps))) #s(literal 2 binary64)))))
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#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x)))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x))
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#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) (fma.f64 (-.f64 (.f64 (cos.f64 eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (+.f64 (cos.f64 eps) #s(literal 1 binary64))))))) x (neg.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64))))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))))) x (.f64 (/.f64 (cos.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (-.f64 (.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64))) #s(literal 2/3 binary64)) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) (fma.f64 (-.f64 (.f64 (cos.f64 eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (+.f64 (cos.f64 eps) #s(literal 1 binary64))))))) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))))) (fma.f64 (-.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (/.f64 (-.f64 (.f64 (cos.f64 eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 eps) #s(literal 1 binary64))) (.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)))) x (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) (neg.f64 (/.f64 (cos.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64))))) (fma.f64 (-.f64 (.f64 (cos.f64 eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (+.f64 (cos.f64 eps) #s(literal 1 binary64))))))) x (neg.f64 (/.f64 (sin.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64))))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)))))) x (*.f64 (/.f64 (cos.f64 (+.f64 eps eps)) (+.f64 (cos.f64 eps) #s(literal 1 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (fma.f64 (neg.f64 x) (sin.f64 (+.f64 eps eps)) (-.f64 (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 (fma.f64 x (fma.f64 (+.f64 (neg.f64 (cos.f64 (+.f64 eps eps))) #s(literal 1 binary64)) x (neg.f64 (sin.f64 (+.f64 eps eps)))) (*.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (-.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) x) (sin.f64 (+.f64 eps eps)) (neg.f64 (cos.f64 (+.f64 eps eps)))) #s(literal 1 binary64)) x (neg.f64 (sin.f64 (+.f64 eps eps)))) x (.f64 (cos.f64 (+.f64 eps eps)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 eps eps)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (fma.f64 (.f64 x eps) (-.f64 (.f64 #s(literal 4/3 binary64) (.f64 eps eps)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (.f64 eps eps)) #s(literal 2 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 eps eps) (.f64 (fma.f64 (fma.f64 (.f64 x eps) (fma.f64 #s(literal -8/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64)) (.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)) (.f64 eps eps))) x (.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (.f64 eps eps)) #s(literal 2 binary64)) eps)) x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) eps))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (fma.f64 (-.f64 (.f64 #s(literal 4/3 binary64) (.f64 eps eps)) #s(literal 2 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) eps)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 eps eps) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)) x) eps) #s(literal 2 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) eps)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64)) x (.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)) eps)) x (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) #s(literal 2 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) eps)))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 4/3 binary64) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) eps)))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)) x) eps (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) eps)))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -8/9 binary64) (.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)) eps)) x (.f64 #s(literal 4/3 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)) eps)))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) (-.f64 (fma.f64 (.f64 x eps) #s(literal 4/3 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 eps eps) #s(literal 2 binary64)) x (.f64 #s(literal 4/3 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) (-.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (.f64 x eps) #s(literal -8/9 binary64) (.f64 #s(literal -2/3 binary64) (.f64 eps eps))) #s(literal 2 binary64)) x (.f64 #s(literal 4/3 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (.f64 (.f64 eps eps) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (fma.f64 (.f64 x eps) #s(literal 4/3 binary64) (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))
#s(approx (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -2/3 binary64) (.f64 #s(literal 4/3 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal 1/3 binary64))))
#s(approx (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 x eps) #s(literal -8/9 binary64) (.f64 #s(literal -2/3 binary64) (.f64 eps eps))) x (.f64 #s(literal 4/3 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/3 binary64))))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (*.f64 #s(literal 1/3 binary64) eps))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (fma.f64 #s(literal 4/3 binary64) x (*.f64 #s(literal 1/3 binary64) eps)))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (fma.f64 (fma.f64 (.f64 x eps) #s(literal -2/3 binary64) #s(literal 4/3 binary64)) x (.f64 #s(literal 1/3 binary64) eps)))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (fma.f64 (fma.f64 (fma.f64 #s(literal -8/9 binary64) x (.f64 #s(literal -2/3 binary64) eps)) x #s(literal 4/3 binary64)) x (.f64 #s(literal 1/3 binary64) eps)))
#s(approx (* (cos (+ x x)) eps) eps)
#s(approx (* (cos (+ x x)) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -2 binary64) eps))
#s(approx (* (cos (+ x x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 2/3 binary64) (.f64 #s(literal -2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (cos (+ x x)) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -4/45 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 2/3 binary64) eps)) (.f64 #s(literal -2 binary64) eps)) (.f64 x x) eps))
#s(approx (cos (+ x x)) #s(literal 1 binary64))
#s(approx (cos (+ x x)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ x x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x)) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx x x)
#s(approx (* (sin (+ x x)) 2/3) (*.f64 #s(literal 4/3 binary64) x))
#s(approx (* (sin (+ x x)) 2/3) (.f64 (fma.f64 (.f64 x x) #s(literal -8/9 binary64) #s(literal 4/3 binary64)) x))
#s(approx (* (sin (+ x x)) 2/3) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 8/45 binary64) (.f64 x x)) #s(literal 8/9 binary64)) (.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (* (sin (+ x x)) 2/3) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -16/945 binary64) (.f64 x x) #s(literal 8/45 binary64)) (.f64 x x)) #s(literal 8/9 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (sin (+ x x)) (.f64 (fma.f64 #s(literal -4/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (sin (+ x x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 4/15 binary64) (.f64 x x)) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (sin (+ x x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -8/315 binary64) (.f64 x x) #s(literal 4/15 binary64)) (.f64 x x)) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (+ (cos x) (cos (+ eps x))) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (+ (cos x) (cos (+ eps x))) (+.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (+ (cos x) (cos (+ eps x))) (+.f64 (fma.f64 x (-.f64 (.f64 (-.f64 (.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) (cos (+ eps x))) (+.f64 (fma.f64 (-.f64 (.f64 (-.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (+ eps x)) (cos.f64 eps))
#s(approx (cos (+ eps x)) (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)))
#s(approx (cos (+ eps x)) (fma.f64 x (-.f64 (.f64 (.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (cos (+ eps x)) (fma.f64 x (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) x) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (+ eps x) (+.f64 x eps))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (*.f64 #s(literal 1/6 binary64) eps)) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x))
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* 1/120 (* x x)) 1/6) (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (* 1/120 (* x x)) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (- (* (* (cos 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 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.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 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 1/6 binary64) eps) x)) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x eps)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) eps) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) eps) (.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 (* (cos x) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x x) 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 (- (* 1/24 (* x x)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/24 (* x x)) 1/2) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (* 1/24 (* x x)) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) (*.f64 (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) (fma.f64 (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) x)))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal -2 binary64) #s(literal 2 binary64)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)))) x (.f64 (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) (fma.f64 (fma.f64 x (fma.f64 (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) x) #s(literal -2/3 binary64))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)))) x (*.f64 (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) (-.f64 (fma.f64 (+.f64 x x) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) (-.f64 (fma.f64 x (fma.f64 (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal -2 binary64) #s(literal 2 binary64)) x (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 2 binary64))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)))) #s(literal 1 binary64)))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) (-.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal -2 binary64) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) x) #s(literal -4/3 binary64))) x (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 2 binary64))) x (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)))) #s(literal 1 binary64)))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (fma.f64 (+.f64 x x) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) (.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 2 binary64))) x (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4/3 binary64) x) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal -2 binary64))) x (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps))) #s(literal 2 binary64))) x (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)))))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 2 binary64))))
#s(approx (* (+ x eps) 2) (+.f64 eps eps))
#s(approx (* (+ x eps) 2) (*.f64 (+.f64 x eps) #s(literal 2 binary64)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) (cos.f64 (+.f64 x x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (sin.f64 (+.f64 x x))) eps))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (sin.f64 (+.f64 x x))))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))))
#s(approx (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))))
#s(approx (* (cos (+ x x)) eps) (*.f64 (cos.f64 (+.f64 x x)) eps))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (* (sin (+ x x)) 2/3) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64)))
#s(approx (sin (+ x x)) (sin.f64 (+.f64 x x)))
#s(approx (+ (cos x) (cos (+ eps x))) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (cos (+ eps x)) (cos.f64 (+.f64 x eps)))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/120 binary64)))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (* 1/120 (* x x)) 1/6) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.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 (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (* 1/24 (* x x)) 1/2) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) (.f64 (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (+.f64 x eps) #s(literal 2 binary64)))) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 2 binary64)))) (cos.f64 (+.f64 x x))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 2 binary64)))))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)) x) #s(literal 2 binary64)) x))
#s(approx (* (+ x eps) 2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 2 binary64) #s(literal 2 binary64)) x))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (-.f64 eps (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (-.f64 eps (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (+.f64 x x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (.f64 (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (sin.f64 (+.f64 x x))) eps))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (sin.f64 (+.f64 x x))))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))))
#s(approx (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))))
#s(approx (* (cos (+ x x)) eps) (*.f64 (cos.f64 (+.f64 x x)) eps))
#s(approx (cos (+ x x)) (cos.f64 (+.f64 x x)))
#s(approx (* (sin (+ x x)) 2/3) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64)))
#s(approx (sin (+ x x)) (sin.f64 (+.f64 x x)))
#s(approx (+ (cos x) (cos (+ eps x))) (+.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (cos (+ eps x)) (cos.f64 (-.f64 eps (neg.f64 x))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) (.f64 (-.f64 (sin.f64 (fma.f64 (-.f64 eps (neg.f64 x)) #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) (-.f64 (sin.f64 (fma.f64 (-.f64 eps (neg.f64 x)) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x x))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (sin.f64 (fma.f64 (-.f64 eps (neg.f64 x)) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps eps)) x)) #s(literal 2 binary64))))
#s(approx (* (+ x eps) 2) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 2 binary64))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sin.f64 (+.f64 x x)) eps)) (cos.f64 x)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (cos.f64 x)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) eps (.f64 (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) #s(literal -1/2 binary64))) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (fma.f64 (fma.f64 (/.f64 (cos.f64 (+.f64 x x)) (cos.f64 x)) #s(literal -1/2 binary64) (-.f64 (.f64 (-.f64 (.f64 (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) #s(literal 1/3 binary64)) (fma.f64 (.f64 (sin.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (cos.f64 x)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 x))) #s(literal -1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x))))) eps) (.f64 (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))) eps (.f64 (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) #s(literal -1/2 binary64))) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (+.f64 x x))) (cos.f64 x)) (fma.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) #s(literal 1/3 binary64)) (fma.f64 (.f64 (sin.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (cos.f64 x)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 x))) #s(literal -1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x))))) (cos.f64 x))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (cos.f64 x)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (.f64 #s(literal -1/24 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))) eps (.f64 (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) #s(literal 1/3 binary64))) (fma.f64 (.f64 (sin.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (+.f64 x x)) (cos.f64 x)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 x))) #s(literal -1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x))))) eps (/.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))) (cos.f64 x))) (.f64 (/.f64 (.f64 (sin.f64 (+.f64 x x)) (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) eps (*.f64 (/.f64 (sin.f64 (+.f64 x x)) (cos.f64 x)) #s(literal -1/2 binary64))) eps))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (neg.f64 eps) (sin.f64 (+.f64 x x))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (fma.f64 (neg.f64 eps) (cos.f64 (+.f64 x x)) (sin.f64 (neg.f64 (+.f64 x x)))) eps))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (fma.f64 eps (fma.f64 (.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (neg.f64 (cos.f64 (+.f64 x x)))) (sin.f64 (neg.f64 (+.f64 x x)))) eps))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) (sin.f64 (neg.f64 (+.f64 x x)))) eps))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (sin.f64 (neg.f64 (+.f64 x x))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (-.f64 (*.f64 (neg.f64 eps) (cos.f64 (+.f64 x x))) (sin.f64 (+.f64 x x))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (neg.f64 (cos.f64 (+.f64 x x)))) eps) (sin.f64 (+.f64 x x))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (-.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps) (sin.f64 (+.f64 x x))))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) (*.f64 (neg.f64 eps) (cos.f64 (+.f64 x x))))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) (.f64 (fma.f64 (.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (neg.f64 (cos.f64 (+.f64 x x)))) eps))
#s(approx (* (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) eps) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) eps))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) (neg.f64 (cos.f64 (+.f64 x x))))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) (-.f64 (.f64 (.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64)) (cos.f64 (+.f64 x x))))
#s(approx (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (.f64 (.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64)))
#s(approx (+ (cos x) (cos (+ eps x))) (*.f64 (cos.f64 x) #s(literal 2 binary64)))
#s(approx (+ (cos x) (cos (+ eps x))) (fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (+ (cos x) (cos (+ eps x))) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (+ (cos x) (cos (+ eps x))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps (.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (cos (+ eps x)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x)))
#s(approx (cos (+ eps x)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))
#s(approx (cos (+ eps x)) (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 (neg eps) (neg.f64 eps))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) (*.f64 (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) (fma.f64 (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) eps)))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) (fma.f64 (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (neg.f64 eps) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)))) eps)))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) (fma.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) eps) #s(literal -2/3 binary64) (neg.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)))) eps (.f64 (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (cos.f64 (+.f64 x x))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) (-.f64 (fma.f64 (+.f64 eps eps) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)))) (cos.f64 (+.f64 x x))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) (-.f64 (fma.f64 (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) #s(literal 2 binary64) (.f64 (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) eps) #s(literal -2 binary64))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)))) (cos.f64 (+.f64 x x))))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) (-.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4/3 binary64) eps) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) #s(literal -2 binary64))) eps (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) #s(literal 2 binary64))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)))) (cos.f64 (+.f64 x x))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (fma.f64 (+.f64 eps eps) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (fma.f64 (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) #s(literal 2 binary64) (.f64 (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) eps) #s(literal -2 binary64))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4/3 binary64) eps) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) #s(literal -2 binary64))) eps (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x))) #s(literal 2 binary64))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)))))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))) (cos.f64 (+.f64 x x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (.f64 (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (.f64 eps eps)) (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x))))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (.f64 (+.f64 (+.f64 (/.f64 (sin.f64 (neg.f64 (+.f64 x x))) (.f64 (.f64 eps eps) eps)) (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (.f64 eps eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (.f64 (.f64 (cos.f64 (+.f64 x x)) (.f64 (.f64 eps eps) eps)) #s(literal 1/3 binary64)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (.f64 (.f64 (.f64 eps eps) eps) (+.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (.f64 eps eps)) (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (*.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (.f64 (-.f64 (+.f64 (/.f64 (sin.f64 (neg.f64 (+.f64 x x))) (.f64 (.f64 eps eps) eps)) (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (cos.f64 (+.f64 x x)) (.f64 eps eps))) (.f64 (*.f64 eps eps) eps)))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) (.f64 (.f64 (*.f64 eps eps) (cos.f64 (+.f64 x x))) #s(literal 1/3 binary64)))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) (.f64 (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x)))) (*.f64 eps eps)))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) (.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) (.f64 eps eps)) (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x))))) (.f64 eps eps)))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64)))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (.f64 (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal 2/3 binary64) (.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x)))) eps))
#s(approx (+ eps x) (*.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 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)) eps) #s(literal 2 binary64)) eps))
#s(approx (* (+ x eps) 2) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 2 binary64)) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (-.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x))))
#s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (-.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (cos.f64 (+.f64 x x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (.f64 (fma.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x)) (neg.f64 (/.f64 (fma.f64 (sin.f64 (+.f64 x x)) #s(literal -2/3 binary64) (/.f64 (cos.f64 (+.f64 x x)) eps)) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) eps) (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (sin.f64 (+.f64 x x)) #s(literal -2/3 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) (cos.f64 (+.f64 x x))) eps)))) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (neg.f64 (.f64 (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal -2/3 binary64) (.f64 #s(literal -1/3 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (neg.f64 (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 x x))) eps)) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (neg.f64 (.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) (cos.f64 (+.f64 x x))) eps))) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (- (* (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) eps) (cos (+ x x))) (.f64 (fma.f64 #s(literal 1/3 binary64) (cos.f64 (+.f64 x x)) (neg.f64 (/.f64 (fma.f64 (sin.f64 (+.f64 x x)) #s(literal -2/3 binary64) (/.f64 (cos.f64 (+.f64 x x)) eps)) eps))) (.f64 eps eps)))
#s(approx (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3)) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (sin.f64 (+.f64 x x)) eps) #s(literal -2/3 binary64) (.f64 #s(literal -1/3 binary64) (cos.f64 (+.f64 x x))))))
#s(approx (+ (cos x) (cos (+ eps x))) (+.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (cos (+ eps x)) (cos.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))
#s(approx (* 1/2 (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x)))) (.f64 (-.f64 (sin.f64 (fma.f64 (-.f64 x (neg.f64 eps)) #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (- (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (cos (+ x x))) (-.f64 (sin.f64 (fma.f64 (-.f64 x (neg.f64 eps)) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x x))))
#s(approx (sin (+ (* (PI) 1/2) (* (+ x eps) 2))) (sin.f64 (fma.f64 (-.f64 x (neg.f64 eps)) #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ (* (PI) 1/2) (* (+ x eps) 2)) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x x)) eps)) #s(literal 2 binary64))))
#s(approx (* (+ x eps) 2) (.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 2 binary64))))

eval171.0ms (1.9%)

Memory: -56.2MiB live, 74.6MiB allocated; 185ms collecting garbage
Compiler: Compiled 8 698 to 3 098 computations (64.4% saved)

prune36.0ms (0.4%)

Memory

40.7MiB live, 40.7MiB allocated; 0ms collecting garbage

Pruning

39 alts after pruning (29 fresh and 10 done)

	Pruned	Kept	Total
New	461	3	464
Fresh	1	26	27
Picked	0	5	5
Done	0	5	5
Total	462	39	501

Accuracy

99.9%

Counts

501 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.5%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	2.4%	(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	46.5%	(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 eps eps)) (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (sin.f64 (+.f64 eps eps)) (sin.f64 (.f64 #s(literal -2 binary64) x)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	46.3%	(/.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) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
✓	98.9%	(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (sin.f64 (+.f64 x x)))) eps)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	46.3%	(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (+.f64 x eps) #s(literal 2 binary64)))) (sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	46.3%	(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (+.f64 x eps) #s(literal 2 binary64)))) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) (sin.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓	46.3%	(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (+.f64 x eps) #s(literal 2 binary64)))) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	46.3%	(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	46.5%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
	46.5%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	46.3%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
✓	46.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	46.4%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (sin (+ (neg x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
	80.1%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	98.9%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
✓	98.6%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	97.7%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
✓	97.7%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	97.8%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps 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)) (sin.f64 x)) eps))
✓	74.5%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (*.f64 (neg.f64 eps) (sin.f64 x)))
	73.5%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
✓	73.4%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
	73.5%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
	97.1%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	96.8%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
	96.9%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	96.8%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x))))
✓	73.3%	#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x)))
	44.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(approx (* (cos x) eps) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
	98.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	96.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
	46.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
	46.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps))))
✓	46.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
	46.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))))

Compiler

Compiled 1 819 to 1 379 computations (24.2% saved)

regimes43.0ms (0.5%)

Memory

-15.5MiB live, 38.9MiB allocated; 9ms collecting garbage

Counts

55 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps 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)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (sin (+ (neg x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.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 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(approx (* (cos x) eps) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (+.f64 x eps) #s(literal 2 binary64)))) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (-.f64 (fma.f64 (cos.f64 (*.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.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 x) (cos.f64 (+.f64 eps x))))
(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (+.f64 x eps) #s(literal 2 binary64)))) (sin.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 (+.f64 x eps) #s(literal 2 binary64)))) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) (sin.f64 (+.f64 (+.f64 x eps) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 (+.f64 eps x) #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (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) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (cos (+ x x)) eps) 1/3) (* (sin (+ x x)) 2/3))) (neg (cos (+ x x))))) (neg (sin (+ x x)))) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) eps) (cos.f64 (+.f64 x x))) eps) (sin.f64 (+.f64 x x)))) eps)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (cos.f64 (+.f64 x x)) eps) #s(literal 1/3 binary64) (*.f64 (sin.f64 (+.f64 x x)) #s(literal 2/3 binary64))) (neg.f64 (cos.f64 (+.f64 x x)))) (neg.f64 (sin.f64 (+.f64 x x)))) eps)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 eps eps)) (cos.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (sin.f64 (+.f64 eps eps)) (sin.f64 (.f64 #s(literal -2 binary64) x)))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))

Outputs

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

Calls

3 calls:

13.0ms	eps
13.0ms	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)

regimes30.0ms (0.3%)

Memory

-17.8MiB live, 28.5MiB allocated; 3ms collecting garbage

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps 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)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (sin (+ (neg x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.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 (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(approx (* (cos x) eps) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (+.f64 eps x) #s(literal 2 binary64))) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (.f64 (+.f64 x eps) #s(literal 2 binary64))) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))

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:

12.0ms	eps
10.0ms	x
7.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes24.0ms (0.3%)

Memory

24.8MiB live, 24.8MiB allocated; 0ms collecting garbage

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps 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)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (sin (+ (neg x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes29.0ms (0.3%)

Memory

-22.8MiB live, 23.4MiB allocated; 2ms collecting garbage

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps 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)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (sin (+ (neg x) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))

Outputs

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

Calls

3 calls:

13.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
7.0ms	x
7.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes15.0ms (0.2%)

Memory

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

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 #s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (exp.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 (.f64 eps x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps))))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (/ (- (+ 1/2 (* 1/2 (cos (* 2 (+ eps x))))) (+ 1/2 (* 1/2 (cos (* 2 x))))) (+ (cos x) (cos (+ eps x)))) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.1%	1	`eps`
97.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.1%	1	`x`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes12.0ms (0.1%)

Memory

-38.0MiB live, 11.7MiB allocated; 5ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

3.0ms	eps
3.0ms	x
2.0ms	(-.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)

regimes8.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.8%	1	`x`
96.8%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.8%	1	`x`
96.8%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes3.0ms (0%)

Memory

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

Accuracy

Total -17.5b remaining (-102.5%)

Threshold costs -17.5b (-102.5%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
73.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
73.3%	1	`x`
73.3%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations216.0ms (2.5%)

Memory

-11.0MiB live, 123.6MiB allocated; 12ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 162 to 100 computations (38.3% saved)

preprocess70.0ms (0.8%)

Memory: 19.6MiB live, 112.3MiB allocated; 20ms collecting garbage
Compiler: Compiled 196 to 131 computations (33.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze66.0ms (0.7%)

sample6.7s (76.7%)

preprocess44.0ms (0.5%)

series11.0ms (0.1%)

rewrite138.0ms (1.6%)

eval10.0ms (0.1%)

prune11.0ms (0.1%)

series137.0ms (1.6%)

rewrite249.0ms (2.8%)

eval54.0ms (0.6%)

prune28.0ms (0.3%)

series56.0ms (0.6%)

rewrite204.0ms (2.3%)

eval72.0ms (0.8%)

prune30.0ms (0.3%)

series42.0ms (0.5%)

rewrite234.0ms (2.7%)

eval171.0ms (1.9%)

prune36.0ms (0.4%)

regimes43.0ms (0.5%)

regimes30.0ms (0.3%)

regimes24.0ms (0.3%)

regimes29.0ms (0.3%)

regimes15.0ms (0.2%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

derivations216.0ms (2.5%)

preprocess70.0ms (0.8%)

end0.0ms (0%)

Profiling