Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

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

analyze33.0ms (0.4%)

Memory

5.4MiB live, 47.6MiB allocated; 7ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample7.5s (79.9%)

Memory

162.6MiB live, 6 977.9MiB allocated; 2.9s collecting garbage

Samples

3.1s	5 781×	2	valid
2.3s	25 900×	0	invalid
581.0ms	2 425×	1	valid
5.0ms	50×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.7s

ival-cos: 3.1s (66.1% of total)

adjust: 437.0ms (9.3% of total)

ival-<: 284.0ms (6% of total)

ival-fabs: 251.0ms (5.3% of total)

ival-mult!: 243.0ms (5.2% of total)

ival-add!: 185.0ms (3.9% of total)

ival-sub!: 119.0ms (2.5% of total)

ival-and: 63.0ms (1.3% of total)

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

Bogosity

preprocess51.0ms (0.5%)

Memory

-22.8MiB live, 33.1MiB allocated; 20ms 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
▶	54.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0%)

Memory

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

Counts

6 → 36

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite161.0ms (1.7%)

Memory

30.5MiB live, 160.8MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	544
0	153	528
1	883	525
0	8228	504

Stop Event

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

Counts

42 → 113

Calls

Call 1

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

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

eval10.0ms (0.1%)

Memory: 15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 139 to 438 computations (61.5% saved)

prune22.0ms (0.2%)

Memory

-47.3MiB live, 15.3MiB allocated; 11ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	95	10	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	11	106

Accuracy

99.8%

Counts

106 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.2%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	54.2%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
✓	54.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	53.3%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
▶	53.4%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
▶	53.3%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	80.7%	(.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))))
▶	54.9%	(.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)))))
▶	53.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
▶	99.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	81.3%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Compiler

Compiled 282 to 258 computations (8.5% saved)

series39.0ms (0.4%)

Memory

9.0MiB live, 52.0MiB allocated; 7ms collecting garbage

Counts

45 → 199

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps)
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x))
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
x
eps
#s(literal -1/2 binary64)
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
#s(literal 1 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (.f64 (-.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) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x)
(-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64))
(.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(.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)))))
#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))))
(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)))
(/.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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(+.f64 eps x)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(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 (+.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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (cos x) #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) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 -1/2))
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#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* 1/24 x)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow x 2)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* -2 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/3 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* -1 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1/2 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1/2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/6 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 eps))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ eps (* 1/2 (PI)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ eps (+ x (* 1/2 (PI))))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (PI))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* -1 (* x (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* -1/2 (* x (cos (* 1/2 (+ eps (PI)))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* x (+ (* -1/2 (cos (* 1/2 (+ eps (PI))))) (* 1/6 (* x (sin (* 1/2 (+ eps (PI)))))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 (+ eps (PI)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (+ x (* 1/2 (+ eps (PI))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (+ eps (+ (PI) (* 2 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* -1/720 (pow x 6))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1/720 (pow x 5))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 x))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 x))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (+ (PI) (* 2 x)))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ eps (PI)) x))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* x (+ 2 (+ (/ eps x) (/ (PI) x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (- (+ eps (PI)) (* -2 x))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos x)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* 2 (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* 1/24 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 2 (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* 1/2 (* eps (cos (* 1/2 (+ (PI) (* 2 x))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (+ (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* -1/8 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* eps (+ (* -1/8 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 (+ (PI) (* 2 x)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (+ (* 1/2 eps) (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (+ (PI) (* 2 x))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (cos eps) 1) #s(hole binary64 (- (cos eps) 1)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 eps))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* eps (+ 1/2 (* 1/2 (/ (+ (PI) (* 2 x)) eps))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 eps))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* eps (+ 1 (+ (* 2 (/ x eps)) (/ (PI) eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* -1 (* eps (- (* -1/2 (/ (+ (PI) (* 2 x)) eps)) 1/2)))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (PI) (* 2 x)) eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (cos x) x eps -1/2 (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) (- (cos (+ x eps)) (cos x)) (cos x) (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 1/2 (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (PI) (+ eps x) (+ (/ (PI) 2) x) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)))
6.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (cos x) x eps -1/2 (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) (- (cos (+ x eps)) (cos x)) (cos x) (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 1/2 (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (PI) (+ eps x) (+ (/ (PI) 2) x) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)))
6.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (cos x) x eps -1/2 (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) (- (cos (+ x eps)) (cos x)) (cos x) (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 1/2 (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (PI) (+ eps x) (+ (/ (PI) 2) x) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)))
5.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (cos x) x eps -1/2 (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) (- (cos (+ x eps)) (cos x)) (cos x) (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 1/2 (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (PI) (+ eps x) (+ (/ (PI) 2) x) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)))
5.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (cos x) x eps -1/2 (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) (- (cos (+ x eps)) (cos x)) (cos x) (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/24 1/2 (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (PI) (+ eps x) (+ (/ (PI) 2) x) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)))

rewrite234.0ms (2.5%)

Memory

16.3MiB live, 248.1MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	740	5351
0	801	4870
1	4032	4870
0	9122	4718

Stop Event

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

Counts

244 → 445

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps)
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x))
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
x
eps
#s(literal -1/2 binary64)
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
#s(literal 1 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (.f64 (-.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) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x)
(-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64))
(.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(.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)))))
#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))))
(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)))
(/.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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(+.f64 eps x)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(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 (+.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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (cos x) #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) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* 1/24 x)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow x 2)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* -2 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/3 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* -1 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1/2 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1/2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/6 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 eps))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ eps (* 1/2 (PI)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ eps (+ x (* 1/2 (PI))))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (PI))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* -1 (* x (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* -1/2 (* x (cos (* 1/2 (+ eps (PI)))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* x (+ (* -1/2 (cos (* 1/2 (+ eps (PI))))) (* 1/6 (* x (sin (* 1/2 (+ eps (PI)))))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 (+ eps (PI)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (+ x (* 1/2 (+ eps (PI))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (+ eps (+ (PI) (* 2 x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* -1/720 (pow x 6))))
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#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1/720 (pow x 5))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 x))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 x))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (+ (PI) (* 2 x)))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ eps (PI)) x))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* x (+ 2 (+ (/ eps x) (/ (PI) x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (- (+ eps (PI)) (* -2 x))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos x)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* 2 (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* 1/24 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 2 (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* 1/2 (* eps (cos (* 1/2 (+ (PI) (* 2 x))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (+ (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* -1/8 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* eps (+ (* -1/8 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 (+ (PI) (* 2 x)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (+ (* 1/2 eps) (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (+ (PI) (* 2 x))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (cos eps) 1) #s(hole binary64 (- (cos eps) 1)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 eps))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* eps (+ 1/2 (* 1/2 (/ (+ (PI) (* 2 x)) eps))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 eps))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* eps (+ 1 (+ (* 2 (/ x eps)) (/ (PI) eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* -1 (* eps (- (* -1/2 (/ (+ (PI) (* 2 x)) eps)) 1/2)))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (PI) (* 2 x)) eps)) 1)))))

Outputs
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.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 eps (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (neg.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))))
(-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x))
(.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 x) eps))
(.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(fma.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 x) (*.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 x)) (.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
eps
#s(literal -1/2 binary64)
(sin.f64 x)
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))))) (neg.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 eps) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 eps)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 eps) #s(literal 1 binary64)))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(sin.f64 (+.f64 (neg.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 eps)))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
(+.f64 (.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(/.f64 (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(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (fma.f64 #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 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (.f64 #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 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (+.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (fma.f64 #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 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
(-.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x))
(fma.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps)) (cos.f64 x) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps)) (sin.f64 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 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 (+.f64 eps x)) (*.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (+.f64 eps x))))
(-.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 (neg.f64 (+.f64 eps x))))
(cos.f64 (neg.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(+.f64 (.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps)) (cos.f64 x)) (.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps)) (sin.f64 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 (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (sin.f64 (+.f64 eps x))))
(/.f64 (neg.f64 (-.f64 (.f64 eps eps) (.f64 x x))) (neg.f64 (-.f64 eps x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 eps eps))) (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 (.f64 x x) (*.f64 eps x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps))) (neg.f64 (fma.f64 x x (-.f64 (.f64 eps eps) (*.f64 eps x)))))
(/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
(/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps)) (fma.f64 x x (-.f64 (.f64 eps eps) (*.f64 eps x))))
(+.f64 eps x)
(+.f64 x eps)
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
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(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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#s(literal 2 binary64)
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(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)
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(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(/.f64 (neg.f64 (-.f64 (.f64 eps eps) (.f64 x x))) (neg.f64 (-.f64 eps x)))
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(/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x))
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(+.f64 eps x)
(+.f64 x eps)
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(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
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(+.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x))) #s(literal -2 binary64))
(/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) #s(literal 2 binary64))
(+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))) (neg.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (-.f64 (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))))
(/.f64 (-.f64 (.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (-.f64 (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x)
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x))
(+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (+.f64 eps x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (fma.f64 x (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (fma.f64 x (-.f64 (.f64 (+.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #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) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (.f64 x x) (fma.f64 #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) 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) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (sin x) 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)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)))
#s(approx (cos (+ x eps)) (fma.f64 x (-.f64 (.f64 (.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (cos (+ x eps)) (fma.f64 x (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) x) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (+ (* (* x x) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/2) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) x))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* x x)) 1/24) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (neg.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))) x (.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))) x (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (fma.f64 (neg.f64 x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (neg.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) eps)
#s(approx (+ (/ (PI) 2) (+ eps x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))
#s(approx (+ (/ (PI) 2) (+ eps x)) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (+ (/ (PI) 2) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 (neg.f64 x) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 x (-.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64)) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 (-.f64 (.f64 (fma.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))) x) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) x (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+.f64 (PI.f64) eps))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
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#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (* (cos x) eps) -1/2) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (cos x) (cos.f64 x))
#s(approx (sin x) (sin.f64 x))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))
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#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))))
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#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))))))
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#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/720 binary64)))
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#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/720 binary64)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) (.f64 (.f64 (.f64 x x) x) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64))))
#s(approx (+ (* -1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* x x)) 1/24) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (*.f64 x x)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (/ (PI) 2) (+ eps x)) x)
#s(approx (+ (/ (PI) 2) (+ eps x)) (*.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) x) #s(literal 1 binary64)) x))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (+ (/ (PI) 2) x) x)
#s(approx (+ (/ (PI) 2) x) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) x)
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 (PI.f64) eps) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+.f64 x x))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (*.f64 (+.f64 (/.f64 (+.f64 (PI.f64) eps) x) #s(literal 2 binary64)) x))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.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 (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (neg.f64 (.f64 (+.f64 #s(literal 1/720 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (/ (PI) 2) (+ eps x)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) x)) #s(literal 1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (+ (/ (PI) 2) x) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (+.f64 (PI.f64) eps) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (+.f64 (PI.f64) eps) x)) #s(literal 2 binary64))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.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 x) eps) -1/2) (sin x)) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (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 eps eps)
#s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (cos eps) #s(literal 1 binary64))
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos (+ x eps)) (cos.f64 x))
#s(approx (cos (+ x eps)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x)))
#s(approx (cos (+ x eps)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))
#s(approx (cos (+ x eps)) (fma.f64 eps (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) (cos.f64 x)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (fma.f64 (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps) #s(literal -1/2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))) eps))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) eps) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64)) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) eps (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))) eps))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (fma.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64)) #s(literal 2 binary64) (.f64 (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) eps (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))) eps))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps) #s(literal 1/2 binary64)))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) eps) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) eps))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64)) eps (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) eps (.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) eps))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (fma.f64 (fma.f64 eps (fma.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) eps (.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) eps))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (+ (/ (PI) 2) (+ eps x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps) #s(literal -1/2 binary64) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 eps (fma.f64 (.f64 #s(literal -1/8 binary64) eps) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 (fma.f64 eps (fma.f64 (.f64 #s(literal 1/48 binary64) eps) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64))) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) eps (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64)))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (fma.f64 #s(literal 2 binary64) x (PI.f64)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (.f64 eps eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))
#s(approx (- (cos eps) 1) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (+ (/ (PI) 2) (+ eps x)) eps)
#s(approx (+ (/ (PI) 2) (+ eps x)) (*.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps) #s(literal 1 binary64)) eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) eps)
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1 binary64)) eps))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.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 (cos (+ x eps)) (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 (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (.f64 (cos.f64 (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (cos.f64 (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (/ (PI) 2) (+ eps x)) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) #s(literal 1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps)) #s(literal 1 binary64))))

eval104.0ms (1.1%)

Memory: -8.8MiB live, 132.5MiB allocated; 59ms collecting garbage
Compiler: Compiled 7 636 to 2 495 computations (67.3% saved)

prune18.0ms (0.2%)

Memory

34.9MiB live, 34.9MiB allocated; 0ms collecting garbage

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	445	14	459
Fresh	1	4	5
Picked	3	2	5
Done	0	1	1
Total	449	21	470

Accuracy

100.0%

Counts

470 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.2%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	54.2%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
✓	54.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	53.4%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (.f64 (-.f64 (.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))))
	80.7%	(.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))))
	12.9%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
▶	12.8%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (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)))))
	12.5%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (*.f64 #s(literal 1/2 binary64) eps)) (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)))))
▶	53.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	99.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
▶	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	81.3%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
▶	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
	54.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
▶	11.9%	#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))

Compiler

Compiled 776 to 708 computations (8.8% saved)

series40.0ms (0.4%)

Memory

-29.5MiB live, 61.4MiB allocated; 12ms collecting garbage

Counts

44 → 189

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* 1/4 (* eps x)) 1) #s(hole binary64 -1))
#s(approx (- (* 1/4 (* eps x)) 1) #s(hole binary64 (- (* 1/4 (* eps x)) 1)))
#s(approx (* 1/4 (* eps x)) #s(hole binary64 (* 1/4 (* eps x))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* -2 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/3 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))))))
#s(approx (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) #s(hole binary64 (* eps (cos (* 1/2 (PI))))))
#s(approx (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) #s(hole binary64 (+ (* -1 (* eps (* x (sin (* 1/2 (PI)))))) (* eps (cos (* 1/2 (PI)))))))
#s(approx (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) #s(hole binary64 (+ (* eps (cos (* 1/2 (PI)))) (* x (+ (* -1 (* eps (sin (* 1/2 (PI))))) (* -1/2 (* eps (* x (cos (* 1/2 (PI)))))))))))
#s(approx (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) #s(hole binary64 (+ (* eps (cos (* 1/2 (PI)))) (* x (+ (* -1 (* eps (sin (* 1/2 (PI))))) (* x (+ (* -1/2 (* eps (cos (* 1/2 (PI))))) (* 1/6 (* eps (* x (sin (* 1/2 (PI)))))))))))))
#s(approx (cos (* (+ (* 2 x) (PI)) 1/2)) #s(hole binary64 (cos (* 1/2 (PI)))))
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#s(approx (cos (* (+ (* 2 x) (PI)) 1/2)) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* x (- (* -1/2 (* x (cos (* 1/2 (PI))))) (sin (* 1/2 (PI))))))))
#s(approx (cos (* (+ (* 2 x) (PI)) 1/2)) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* x (- (* x (+ (* -1/2 (cos (* 1/2 (PI)))) (* 1/6 (* x (sin (* 1/2 (PI))))))) (sin (* 1/2 (PI))))))))
#s(approx (* (+ (* 2 x) (PI)) 1/2) #s(hole binary64 (* 1/2 (PI))))
#s(approx (* (+ (* 2 x) (PI)) 1/2) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (+ (* 2 x) (PI)) #s(hole binary64 (PI)))
#s(approx (+ (* 2 x) (PI)) #s(hole binary64 (+ (PI) (* 2 x))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* -1 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1/2 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1/2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/6 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (PI))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* -1 (* x (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* -1/2 (* x (cos (* 1/2 (+ eps (PI)))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* x (+ (* -1/2 (cos (* 1/2 (+ eps (PI))))) (* 1/6 (* x (sin (* 1/2 (+ eps (PI)))))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 (+ eps (PI)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (+ x (* 1/2 (+ eps (PI))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (+ eps (+ (PI) (* 2 x)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ eps (* 1/2 (PI)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ eps (+ x (* 1/2 (PI))))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (* (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 (sin x) #s(hole binary64 (sin x)))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* 1/4 (* eps (pow x 2)))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (* 1/4 eps) (/ 1 x)))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ 1 x)))))
#s(approx (- (* 1/4 (* eps x)) 1) #s(hole binary64 (* 1/4 (* eps x))))
#s(approx (- (* 1/4 (* eps x)) 1) #s(hole binary64 (* x (- (* 1/4 eps) (/ 1 x)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) #s(hole binary64 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))))
#s(approx (cos (* (+ (* 2 x) (PI)) 1/2)) #s(hole binary64 (cos (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (* (+ (* 2 x) (PI)) 1/2) #s(hole binary64 x))
#s(approx (* (+ (* 2 x) (PI)) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (+ (* 2 x) (PI)) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) (PI)) #s(hole binary64 (* x (+ 2 (/ (PI) x)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (+ (PI) (* 2 x)))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ eps (PI)) x))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* x (+ 2 (+ (/ eps x) (/ (PI) x))))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 x))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 x))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ eps x))) x)) (* 1/4 eps)))))
#s(approx (- (* 1/4 (* eps x)) 1) #s(hole binary64 (* -1 (* x (+ (* -1/4 eps) (/ 1 x))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) #s(hole binary64 (* eps (cos (* 1/2 (- (PI) (* -2 x)))))))
#s(approx (cos (* (+ (* 2 x) (PI)) 1/2)) #s(hole binary64 (cos (* 1/2 (- (PI) (* -2 x))))))
#s(approx (* (+ (* 2 x) (PI)) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (+ (* 2 x) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 2)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (- (+ eps (PI)) (* -2 x))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 2)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2)))))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* 2 (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* 1/24 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 2 (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* 1/2 (* eps (cos (* 1/2 (+ (PI) (* 2 x))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (+ (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* -1/8 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* eps (+ (* -1/8 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 (+ (PI) (* 2 x)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (+ (* 1/2 eps) (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (+ (PI) (* 2 x))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (cos eps) 1) #s(hole binary64 (- (cos eps) 1)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2))))
#s(approx (- (* 1/4 (* eps x)) 1) #s(hole binary64 (* eps (- (* 1/4 x) (/ 1 eps)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1/48 (pow eps 3))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* -1/48 (pow eps 2))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* eps (+ 1/2 (* 1/2 (/ (+ (PI) (* 2 x)) eps))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 eps))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* eps (+ 1 (+ (* 2 (/ x eps)) (/ (PI) eps))))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 eps))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* -1/4 (pow x 2)))))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (+ (* -1/4 (pow x 2)) (/ x eps)))))))
#s(approx (- (* 1/4 (* eps x)) 1) #s(hole binary64 (* -1 (* eps (+ (* -1/4 x) (/ 1 eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* -1 (* eps (- (* -1/2 (/ (+ (PI) (* 2 x)) eps)) 1/2)))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (PI) (* 2 x)) eps)) 1)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) eps -1/2 (sin x) x (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (- (* 1/4 (* eps x)) 1) (* 1/4 (* eps x)) 1/4 (* eps x) (* -1/2 eps) (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) (cos (* (+ (* 2 x) (PI)) 1/2)) (* (+ (* 2 x) (PI)) 1/2) (+ (* 2 x) (PI)) 2 (PI) 1/2 (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* eps eps) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (+ eps x) (+ (/ (PI) 2) x))
7.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) eps -1/2 (sin x) x (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (- (* 1/4 (* eps x)) 1) (* 1/4 (* eps x)) 1/4 (* eps x) (* -1/2 eps) (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) (cos (* (+ (* 2 x) (PI)) 1/2)) (* (+ (* 2 x) (PI)) 1/2) (+ (* 2 x) (PI)) 2 (PI) 1/2 (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* eps eps) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (+ eps x) (+ (/ (PI) 2) x))
5.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) eps -1/2 (sin x) x (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (- (* 1/4 (* eps x)) 1) (* 1/4 (* eps x)) 1/4 (* eps x) (* -1/2 eps) (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) (cos (* (+ (* 2 x) (PI)) 1/2)) (* (+ (* 2 x) (PI)) 1/2) (+ (* 2 x) (PI)) 2 (PI) 1/2 (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* eps eps) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (+ eps x) (+ (/ (PI) 2) x))
5.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) eps -1/2 (sin x) x (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (- (* 1/4 (* eps x)) 1) (* 1/4 (* eps x)) 1/4 (* eps x) (* -1/2 eps) (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) (cos (* (+ (* 2 x) (PI)) 1/2)) (* (+ (* 2 x) (PI)) 1/2) (+ (* 2 x) (PI)) 2 (PI) 1/2 (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* eps eps) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (+ eps x) (+ (/ (PI) 2) x))
4.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) eps -1/2 (sin x) x (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (- (* 1/4 (* eps x)) 1) (* 1/4 (* eps x)) 1/4 (* eps x) (* -1/2 eps) (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) (cos (* (+ (* 2 x) (PI)) 1/2)) (* (+ (* 2 x) (PI)) 1/2) (+ (* 2 x) (PI)) 2 (PI) 1/2 (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (* eps eps) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+ (/ (PI) 2) (+ eps x)) (/ (PI) 2) (+ eps x) (+ (/ (PI) 2) x))

rewrite238.0ms (2.5%)

Memory

-1.7MiB live, 193.3MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	755	5218
0	799	4710
1	4244	4706
0	8420	4592

Stop Event

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

Counts

233 → 347

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps)
(-.f64 (.f64 #s(approx ( (cos x) eps) eps) #s(literal -1/2 binary64)) (sin.f64 x))
(.f64 #s(approx ( (cos x) eps) eps) #s(literal -1/2 binary64))
#s(approx (* (cos x) eps) eps)
eps
#s(literal -1/2 binary64)
(sin.f64 x)
x
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (cos eps) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
(.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64))
(.f64 #s(literal 1/4 binary64) (.f64 eps x))
#s(literal 1/4 binary64)
(*.f64 eps x)
(*.f64 #s(literal -1/2 binary64) eps)
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))
(.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps)
(cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 2 binary64) x (PI.f64))
#s(literal 2 binary64)
(PI.f64)
#s(literal 1/2 binary64)
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (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 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) (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))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)
(fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))
#s(literal -1/48 binary64)
(*.f64 eps eps)
(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 (+.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 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))
(/.f64 (PI.f64) #s(literal 2 binary64))
(+.f64 eps x)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* 1/4 (* eps x)) 1) #s(hole binary64 -1))
#s(approx (- (* 1/4 (* eps x)) 1) #s(hole binary64 (- (* 1/4 (* eps x)) 1)))
#s(approx (* 1/4 (* eps x)) #s(hole binary64 (* 1/4 (* eps x))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* -2 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/3 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))))))
#s(approx (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) #s(hole binary64 (* eps (cos (* 1/2 (PI))))))
#s(approx (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) #s(hole binary64 (+ (* -1 (* eps (* x (sin (* 1/2 (PI)))))) (* eps (cos (* 1/2 (PI)))))))
#s(approx (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) #s(hole binary64 (+ (* eps (cos (* 1/2 (PI)))) (* x (+ (* -1 (* eps (sin (* 1/2 (PI))))) (* -1/2 (* eps (* x (cos (* 1/2 (PI)))))))))))
#s(approx (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) #s(hole binary64 (+ (* eps (cos (* 1/2 (PI)))) (* x (+ (* -1 (* eps (sin (* 1/2 (PI))))) (* x (+ (* -1/2 (* eps (cos (* 1/2 (PI))))) (* 1/6 (* eps (* x (sin (* 1/2 (PI)))))))))))))
#s(approx (cos (* (+ (* 2 x) (PI)) 1/2)) #s(hole binary64 (cos (* 1/2 (PI)))))
#s(approx (cos (* (+ (* 2 x) (PI)) 1/2)) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* -1 (* x (sin (* 1/2 (PI))))))))
#s(approx (cos (* (+ (* 2 x) (PI)) 1/2)) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* x (- (* -1/2 (* x (cos (* 1/2 (PI))))) (sin (* 1/2 (PI))))))))
#s(approx (cos (* (+ (* 2 x) (PI)) 1/2)) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* x (- (* x (+ (* -1/2 (cos (* 1/2 (PI)))) (* 1/6 (* x (sin (* 1/2 (PI))))))) (sin (* 1/2 (PI))))))))
#s(approx (* (+ (* 2 x) (PI)) 1/2) #s(hole binary64 (* 1/2 (PI))))
#s(approx (* (+ (* 2 x) (PI)) 1/2) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (+ (* 2 x) (PI)) #s(hole binary64 (PI)))
#s(approx (+ (* 2 x) (PI)) #s(hole binary64 (+ (PI) (* 2 x))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* -1 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1/2 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1/2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/6 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (PI))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* -1 (* x (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* -1/2 (* x (cos (* 1/2 (+ eps (PI)))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* x (+ (* -1/2 (cos (* 1/2 (+ eps (PI))))) (* 1/6 (* x (sin (* 1/2 (+ eps (PI)))))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 (+ eps (PI)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (+ x (* 1/2 (+ eps (PI))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (+ eps (+ (PI) (* 2 x)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ eps (* 1/2 (PI)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ eps (+ x (* 1/2 (PI))))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (* (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 (sin x) #s(hole binary64 (sin x)))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* 1/4 (* eps (pow x 2)))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (* 1/4 eps) (/ 1 x)))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ 1 x)))))
#s(approx (- (* 1/4 (* eps x)) 1) #s(hole binary64 (* 1/4 (* eps x))))
#s(approx (- (* 1/4 (* eps x)) 1) #s(hole binary64 (* x (- (* 1/4 eps) (/ 1 x)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) #s(hole binary64 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))))
#s(approx (cos (* (+ (* 2 x) (PI)) 1/2)) #s(hole binary64 (cos (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (* (+ (* 2 x) (PI)) 1/2) #s(hole binary64 x))
#s(approx (* (+ (* 2 x) (PI)) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (+ (* 2 x) (PI)) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) (PI)) #s(hole binary64 (* x (+ 2 (/ (PI) x)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (+ (PI) (* 2 x)))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ eps (PI)) x))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* x (+ 2 (+ (/ eps x) (/ (PI) x))))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 x))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 x))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ eps x))) x)) (* 1/4 eps)))))
#s(approx (- (* 1/4 (* eps x)) 1) #s(hole binary64 (* -1 (* x (+ (* -1/4 eps) (/ 1 x))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) #s(hole binary64 (* eps (cos (* 1/2 (- (PI) (* -2 x)))))))
#s(approx (cos (* (+ (* 2 x) (PI)) 1/2)) #s(hole binary64 (cos (* 1/2 (- (PI) (* -2 x))))))
#s(approx (* (+ (* 2 x) (PI)) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (+ (* 2 x) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 2)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (- (+ eps (PI)) (* -2 x))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 2)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2)))))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* 2 (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* 1/24 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 2 (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* 1/2 (* eps (cos (* 1/2 (+ (PI) (* 2 x))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (+ (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* -1/8 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* eps (+ (* -1/8 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 (+ (PI) (* 2 x)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (+ (* 1/2 eps) (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (+ (PI) (* 2 x))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (cos eps) 1) #s(hole binary64 (- (cos eps) 1)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2))))
#s(approx (- (* 1/4 (* eps x)) 1) #s(hole binary64 (* eps (- (* 1/4 x) (/ 1 eps)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1/48 (pow eps 3))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* -1/48 (pow eps 2))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* eps (+ 1/2 (* 1/2 (/ (+ (PI) (* 2 x)) eps))))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 eps))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* eps (+ 1 (+ (* 2 (/ x eps)) (/ (PI) eps))))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 eps))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* -1/4 (pow x 2)))))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (+ (* -1/4 (pow x 2)) (/ x eps)))))))
#s(approx (- (* 1/4 (* eps x)) 1) #s(hole binary64 (* -1 (* eps (+ (* -1/4 x) (/ 1 eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* -1 (* eps (- (* -1/2 (/ (+ (PI) (* 2 x)) eps)) 1/2)))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (PI) (* 2 x)) eps)) 1)))))
#s(approx (+ (/ (PI) 2) (+ eps x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Outputs
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) #s(approx (* (cos x) eps) eps)) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 #s(literal -1/2 binary64) #s(approx (* (cos x) eps) eps)) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) #s(approx (* (cos x) eps) eps)) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) #s(approx (* (cos x) eps) eps)) (.f64 #s(literal -1/2 binary64) #s(approx ( (cos x) eps) eps))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 #s(literal -1/2 binary64) #s(approx ( (cos x) eps) eps) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) #s(approx ( (cos x) eps) eps)) (.f64 #s(literal -1/2 binary64) #s(approx ( (cos x) eps) eps))) (.f64 #s(literal -1/2 binary64) #s(approx ( (cos x) eps) eps))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx ( (cos x) eps) eps)) (.f64 #s(literal -1/2 binary64) #s(approx ( (cos x) eps) eps)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 #s(literal -1/2 binary64) #s(approx ( (cos x) eps) eps)) (sin.f64 x)))))
(-.f64 (.f64 #s(literal -1/2 binary64) #s(approx ( (cos x) eps) eps)) (sin.f64 x))
(.f64 #s(literal -1/2 binary64) #s(approx ( (cos x) eps) eps))
(.f64 #s(approx ( (cos x) eps) eps) #s(literal -1/2 binary64))
#s(approx (* (cos x) eps) eps)
eps
#s(literal -1/2 binary64)
(sin.f64 x)
x
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(approx (cos eps) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(approx (cos eps) #s(literal 1 binary64))) #s(approx (cos eps) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(approx (cos eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (cos eps) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
(.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
(.f64 eps #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x) (.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x))) (-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x) (.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps))) (-.f64 (.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal -1/2 binary64) eps)))
(/.f64 (fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/8 binary64) (pow.f64 (.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x) (.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x)) (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (-.f64 (.f64 (*.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/8 binary64))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x) (.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 (.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal -1/2 binary64) eps)))))
(fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))
(fma.f64 #s(literal -1/2 binary64) eps (.f64 (-.f64 (.f64 (*.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x))
(fma.f64 eps #s(literal -1/2 binary64) (.f64 (-.f64 (.f64 (*.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x))
(fma.f64 x (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) eps))
(-.f64 (.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/2 binary64) eps))
(-.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (neg.f64 x) (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(+.f64 (.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal -1/2 binary64) eps))
(+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) (.f64 (.f64 eps x) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) (.f64 (.f64 eps x) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/4 binary64) eps) x)
(.f64 (.f64 eps x) #s(literal 1/4 binary64))
(.f64 #s(literal 1/4 binary64) (.f64 eps x))
#s(literal 1/4 binary64)
(*.f64 eps x)
(*.f64 x eps)
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))
(.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps)
(.f64 eps (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x x)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x x)))))
(-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 (+.f64 x x) #s(literal 1/2 binary64)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (.f64 (+.f64 x x) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))))
(cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x (PI.f64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (+.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 x x)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (+.f64 x x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (+.f64 x x) (+.f64 x x))) (-.f64 (PI.f64) (+.f64 x x)))
(/.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 x x) (PI.f64)))
(/.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))) (+.f64 (PI.f64) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64) (.f64 (.f64 (.f64 x x) x) #s(literal 8 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 (PI.f64) (+.f64 x x)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 8 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (+.f64 x x) (PI.f64)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 #s(literal -8 binary64) (.f64 (.f64 x x) x))) (fma.f64 (PI.f64) (PI.f64) (fma.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x) (.f64 (PI.f64) (*.f64 #s(literal -2 binary64) x)))))
(fma.f64 #s(literal 2 binary64) x (PI.f64))
(fma.f64 x #s(literal 2 binary64) (PI.f64))
(-.f64 (PI.f64) (*.f64 #s(literal -2 binary64) x))
(+.f64 (+.f64 x x) (PI.f64))
(+.f64 (PI.f64) (+.f64 x x))
#s(literal 2 binary64)
(PI.f64)
#s(literal 1/2 binary64)
(.f64 (.f64 #s(literal 2 binary64) #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/2 binary64)) eps))) (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64)))))
(fma.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))) #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/2 binary64)) eps)) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64)))))
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(.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/2 binary64)) eps)
(.f64 eps (fma.f64 (.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 eps (.f64 (*.f64 #s(literal -1/48 binary64) eps) eps)))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 (.f64 (*.f64 #s(literal -1/48 binary64) eps) eps) eps))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 eps (.f64 (*.f64 #s(literal -1/48 binary64) eps) eps)))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 #s(literal -1/48 binary64) eps) eps) eps))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 eps (.f64 (.f64 #s(literal -1/48 binary64) eps) eps)))
(+.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 (.f64 (.f64 #s(literal -1/48 binary64) eps) eps) eps))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -1/48 binary64) eps) eps) (.f64 (.f64 #s(literal -1/48 binary64) eps) eps))) (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -1/48 binary64) eps) eps)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/48 binary64) eps) eps) (.f64 (.f64 #s(literal -1/48 binary64) eps) eps)) #s(literal 1/4 binary64)) (-.f64 (.f64 (*.f64 #s(literal -1/48 binary64) eps) eps) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -1/110592 binary64) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 eps eps) eps))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/48 binary64) eps) eps) (.f64 (.f64 #s(literal -1/48 binary64) eps) eps)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/48 binary64) eps) eps)))))
(/.f64 (fma.f64 (.f64 #s(literal -1/110592 binary64) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 eps eps) eps) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 #s(literal -1/48 binary64) eps) eps) (.f64 (.f64 #s(literal -1/48 binary64) eps) eps) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -1/48 binary64) eps) eps) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/48 binary64) (.f64 eps eps)))
(+.f64 (.f64 (.f64 #s(literal -1/48 binary64) eps) eps) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/48 binary64) eps) eps))
#s(literal -1/48 binary64)
(*.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)))
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(fabs.f64 (*.f64 eps eps))
(+.f64 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))))
(cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64)))
(+.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x)) #s(literal -2 binary64))
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))
(+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)) (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (-.f64 (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (+.f64 eps x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x))
(+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (+.f64 eps x) (+.f64 eps x))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)))))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))
(+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
(/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps)) (fma.f64 x x (-.f64 (.f64 eps eps) (*.f64 eps x))))
(+.f64 eps x)
(+.f64 x eps)
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 x x)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (fma.f64 x (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (fma.f64 x (-.f64 (.f64 (+.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/4 binary64)) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (* (* (cos x) eps) -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 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/48 binary64) (.f64 #s(literal 1/4 binary64) eps)) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/1440 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/48 binary64) eps)) (.f64 #s(literal 1/4 binary64) eps)) (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (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 #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 (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* 1/4 (* eps x)) 1) #s(literal -1 binary64))
#s(approx (- (* 1/4 (* eps x)) 1) (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
#s(approx (* 1/4 (* eps x)) (.f64 (.f64 eps x) #s(literal 1/4 binary64)))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (neg.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))) x (.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))) x (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) eps))
#s(approx (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) (fma.f64 (neg.f64 eps) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) x) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) eps)))
#s(approx (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) (fma.f64 x (fma.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) x) eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) eps)))
#s(approx (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) (fma.f64 (fma.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) x) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) eps) #s(literal -1/2 binary64))) (.f64 (neg.f64 eps) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) eps)))
#s(approx (cos (* (+ (* 2 x) (PI)) 1/2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (cos (* (+ (* 2 x) (PI)) 1/2)) (fma.f64 (neg.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (cos (* (+ (* 2 x) (PI)) 1/2)) (fma.f64 x (-.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) x) #s(literal -1/2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
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#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))
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#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 (-.f64 (.f64 (fma.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))) x) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) x (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
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#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+.f64 (PI.f64) eps))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps))
#s(approx (+ (/ (PI) 2) (+ eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))
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#s(approx (+ eps x) eps)
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#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (sin x) (sin.f64 x))
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#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x))) (.f64 x x)))
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#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (cos (* (+ (* 2 x) (PI)) 1/2)) eps) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))
#s(approx (cos (* (+ (* 2 x) (PI)) 1/2)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))))
#s(approx (* (+ (* 2 x) (PI)) 1/2) x)
#s(approx (* (+ (* 2 x) (PI)) 1/2) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* 2 x) (PI)) (+.f64 x x))
#s(approx (+ (* 2 x) (PI)) (*.f64 (+.f64 (/.f64 (PI.f64) x) #s(literal 2 binary64)) x))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) x)
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#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (+.f64 x x))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (*.f64 (+.f64 (/.f64 (+.f64 (PI.f64) eps) x) #s(literal 2 binary64)) x))
#s(approx (+ (/ (PI) 2) (+ eps x)) x)
#s(approx (+ (/ (PI) 2) (+ eps x)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x) #s(literal 1 binary64)) x))
#s(approx (+ eps x) x)
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#s(approx (+ (/ (PI) 2) x) x)
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#s(approx (- (* 1/4 (* eps x)) 1) (neg.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) eps) x #s(literal 1 binary64))))
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#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
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#s(approx eps eps)
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#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (cos eps) #s(literal 1 binary64))
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (neg.f64 x))
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#s(approx (* -1/2 eps) (*.f64 #s(literal -1/2 binary64) eps))
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#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (fma.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64)) #s(literal 2 binary64) (.f64 (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) eps (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))) eps))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps) #s(literal 1/2 binary64)))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) eps) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) eps))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64)) eps (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) eps (.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) eps))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (fma.f64 (fma.f64 eps (fma.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/12 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) eps (.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) eps))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) (.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/2 binary64)) eps))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) (fma.f64 (*.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/2 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps) #s(literal -1/2 binary64) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 eps (fma.f64 (.f64 #s(literal -1/8 binary64) eps) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 (fma.f64 eps (fma.f64 (.f64 #s(literal 1/48 binary64) eps) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64))) (.f64 (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) eps (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64)))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (fma.f64 #s(literal 2 binary64) x (PI.f64)))
#s(approx (+ (/ (PI) 2) (+ eps x)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (.f64 eps eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))
#s(approx (- (cos eps) 1) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (/.f64 (neg.f64 x) eps)) #s(literal 1/2 binary64)) eps))
#s(approx (- (* 1/4 (* eps x)) 1) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)) eps))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) (.f64 (.f64 (*.f64 eps eps) eps) #s(literal -1/48 binary64)))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) (.f64 (.f64 #s(literal -1/48 binary64) eps) eps))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps)))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) eps)
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1 binary64)) eps))
#s(approx (+ (/ (PI) 2) (+ eps x)) eps)
#s(approx (+ (/ (PI) 2) (+ eps x)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) eps) #s(literal 1 binary64)) eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.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 (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (neg.f64 eps) (+.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) (/.f64 x eps)) #s(literal 1/2 binary64))))
#s(approx (- (* 1/4 (* eps x)) 1) (neg.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) x) eps #s(literal 1 binary64))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (.f64 (cos.f64 (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (cos.f64 (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) (.f64 (.f64 (neg.f64 eps) (.f64 eps eps)) (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps)) #s(literal 1 binary64))))
#s(approx (+ (/ (PI) 2) (+ eps x)) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x) eps)) #s(literal 1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))

eval44.0ms (0.5%)

Memory: 24.0MiB live, 75.9MiB allocated; 10ms collecting garbage
Compiler: Compiled 5 083 to 1 812 computations (64.4% saved)

prune21.0ms (0.2%)

Memory

-9.7MiB live, 36.4MiB allocated; 3ms collecting garbage

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	294	15	309
Fresh	5	8	13
Picked	3	2	5
Done	1	2	3
Total	303	27	330

Accuracy

100.0%

Counts

330 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.2%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	54.2%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
✓	54.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	80.7%	(.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))))
	12.9%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
	12.7%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	56.9%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
▶	12.9%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)))))
✓	53.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	99.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
▶	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
✓	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) eps))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) #s(approx (sin x) x)) eps))
	81.3%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	54.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
▶	54.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))) eps))
	80.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) eps))
	53.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))) eps))
▶	80.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (neg.f64 x))) eps))
▶	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	11.8%	#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (*.f64 (sin.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
	11.9%	#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) (PI)) 1/2) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps))
	6.0%	#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) (PI)) 1/2) x)) eps))

Compiler

Compiled 1 212 to 1 069 computations (11.8% saved)

series38.0ms (0.4%)

Memory

22.6MiB live, 67.7MiB allocated; 5ms collecting garbage

Counts

49 → 190

Calls

Call 1

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

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) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* (cos x) eps) -1/2) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 eps))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (* (* x x) 1/4) 1/2) eps) #s(hole binary64 (* -1/2 eps)))
#s(approx (* (- (* (* x x) 1/4) 1/2) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (- (* (* x x) 1/4) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* x x) 1/4) 1/2) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* (* x x) 1/4) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (- (* 1/4 (* (pow eps 2) x)) eps)))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (- (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))) eps)))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (* 1/4 (pow eps 2))))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* -2 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/3 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* -1 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1/2 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (+ (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1/2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* 1/6 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))))) (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (PI))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* -1 (* x (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* -1/2 (* x (cos (* 1/2 (+ eps (PI)))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ eps (PI)))) (* x (- (* x (+ (* -1/2 (cos (* 1/2 (+ eps (PI))))) (* 1/6 (* x (sin (* 1/2 (+ eps (PI)))))))) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 (+ eps (PI)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (+ x (* 1/2 (+ eps (PI))))))
#s(approx (+ (* (+ (PI) eps) 1/2) x) #s(hole binary64 (* 1/2 (+ eps (PI)))))
#s(approx (+ (* (+ (PI) eps) 1/2) x) #s(hole binary64 (+ x (* 1/2 (+ eps (PI))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* (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 (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (* -1/2 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (/ eps (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* 1/4 (* eps (pow x 2)))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (* 1/4 eps) (/ 1 x)))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ 1 x)))))
#s(approx (* (- (* (* x x) 1/4) 1/2) eps) #s(hole binary64 (* 1/4 (* eps (pow x 2)))))
#s(approx (* (- (* (* x x) 1/4) 1/2) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)))))
#s(approx (- (* (* x x) 1/4) 1/2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- (* (* x x) 1/4) 1/2) #s(hole binary64 (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* 1/6 (* eps (pow x 3)))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 3) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow x 3) (- (+ (* -1/2 (/ (pow eps 2) (pow x 3))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))) (/ eps (pow x 2))))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* 1/6 (* eps (pow x 2)))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow x 2) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x)))))))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (* 1/6 (* eps x))))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (* x (+ (* 1/6 eps) (* 1/4 (/ (pow eps 2) x))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (+ (PI) (* 2 x))))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (+ (PI) (* 2 x)))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ eps (PI)) x))))))
#s(approx (+ (* (+ (PI) eps) 1/2) x) #s(hole binary64 x))
#s(approx (+ (* (+ (PI) eps) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ eps (PI)) x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ eps x))) x)) (* 1/4 eps)))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) x))) x)) (* 1/4 (pow eps 2))) x)) (* -1/6 eps))))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1/4 (pow eps 2)) (/ eps x)) x)) (* 1/6 eps)))))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (* -1 (* x (+ (* -1/4 (/ (pow eps 2) x)) (* -1/6 eps))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ eps (PI)) (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (- (+ eps (PI)) (* -2 x))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ (* (+ (PI) eps) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (+ eps (PI)) x)) 1)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2)))))
#s(approx (* (- (* (* x x) 1/4) 1/2) eps) #s(hole binary64 (* eps (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1))))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* eps (- (* 1/6 (pow x 2)) 1))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* eps (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1))))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (* eps (+ (* 1/6 x) (* 1/4 eps)))))
#s(approx (* (* eps eps) 1/4) #s(hole binary64 (* 1/4 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (* (* eps eps) -1/2) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* 2 (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))))))))))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* eps (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (+ (* -1/2 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* 1/24 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 2 (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* 1/2 (* eps (cos (* 1/2 (+ (PI) (* 2 x))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x)))))))))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/4 (sin (* 1/2 (+ (PI) (* 2 x))))) (* eps (+ (* -1/16 (cos (* 1/2 (+ (PI) (* 2 x))))) (+ (* -1/48 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* 1/2 eps)))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow eps 2)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* -1/2 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* -1/8 (* eps (cos (* 1/2 (+ (PI) (* 2 x)))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (+ (cos (* 1/2 (+ (PI) (* 2 x)))) (* eps (- (* eps (+ (* -1/8 (cos (* 1/2 (+ (PI) (* 2 x))))) (* 1/48 (* eps (sin (* 1/2 (+ (PI) (* 2 x)))))))) (* 1/2 (sin (* 1/2 (+ (PI) (* 2 x))))))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 (+ (PI) (* 2 x)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (+ (* 1/2 eps) (* 1/2 (+ (PI) (* 2 x))))))
#s(approx (+ (* (+ (PI) eps) 1/2) x) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (+ (* (+ (PI) eps) 1/2) x) #s(hole binary64 (+ x (+ (* 1/2 eps) (* 1/2 (PI))))))
#s(approx (+ (PI) eps) #s(hole binary64 (PI)))
#s(approx (+ (PI) eps) #s(hole binary64 (+ eps (PI))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* 1/4 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)) (/ 1 eps)))))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) #s(hole binary64 (* (pow eps 2) (+ 1/4 (* 1/6 (/ x eps))))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1/48 (pow eps 3))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* -1/48 (pow eps 2))))
#s(approx (+ (* -1/48 (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 2) (- (* 1/2 (/ 1 (pow eps 2))) 1/48))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* eps (+ 1/2 (* 1/2 (/ (+ (PI) (* 2 x)) eps))))))
#s(approx (+ (* (+ (PI) eps) 1/2) x) #s(hole binary64 (* 1/2 eps)))
#s(approx (+ (* (+ (PI) eps) 1/2) x) #s(hole binary64 (* eps (+ 1/2 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))))
#s(approx (+ (PI) eps) #s(hole binary64 eps))
#s(approx (+ (PI) eps) #s(hole binary64 (* eps (+ 1 (/ (PI) eps)))))
#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 (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (* -1 (* eps (- (* 1/2 (pow x 2)) 1)))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* -1/4 (pow x 2)))))))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (+ (* -1/4 (pow x 2)) (/ x eps)))))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) eps)) (* 1/4 x)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) #s(hole binary64 (* (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/48 (* 1/2 (/ 1 (pow eps 2))))))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) #s(hole binary64 (cos (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps))))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) #s(hole binary64 (* -1 (* eps (- (* -1/2 (/ (+ (PI) (* 2 x)) eps)) 1/2)))))
#s(approx (+ (* (+ (PI) eps) 1/2) x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1/2)))))
#s(approx (+ (PI) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (PI) eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (+ (* (* (* x x) eps) -1/2) eps) (* (* x x) eps) (* x x) x eps -1/2 (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (* (- (* (* x x) 1/4) 1/2) eps) (- (* (* x x) 1/4) 1/2) (* (* x x) 1/4) 1/4 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (* eps x) 1/6 (* (* eps eps) 1/4) (* eps eps) (neg eps) (* (* eps eps) -1/2) (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (* (+ (PI) eps) 1/2) x) (+ (PI) eps) (PI))
6.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (+ (* (* (* x x) eps) -1/2) eps) (* (* x x) eps) (* x x) x eps -1/2 (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (* (- (* (* x x) 1/4) 1/2) eps) (- (* (* x x) 1/4) 1/2) (* (* x x) 1/4) 1/4 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (* eps x) 1/6 (* (* eps eps) 1/4) (* eps eps) (neg eps) (* (* eps eps) -1/2) (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (* (+ (PI) eps) 1/2) x) (+ (PI) eps) (PI))
6.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (+ (* (* (* x x) eps) -1/2) eps) (* (* x x) eps) (* x x) x eps -1/2 (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (* (- (* (* x x) 1/4) 1/2) eps) (- (* (* x x) 1/4) 1/2) (* (* x x) 1/4) 1/4 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (* eps x) 1/6 (* (* eps eps) 1/4) (* eps eps) (neg eps) (* (* eps eps) -1/2) (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (* (+ (PI) eps) 1/2) x) (+ (PI) eps) (PI))
5.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (+ (* (* (* x x) eps) -1/2) eps) (* (* x x) eps) (* x x) x eps -1/2 (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (* (- (* (* x x) 1/4) 1/2) eps) (- (* (* x x) 1/4) 1/2) (* (* x x) 1/4) 1/4 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (* eps x) 1/6 (* (* eps eps) 1/4) (* eps eps) (neg eps) (* (* eps eps) -1/2) (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (* (+ (PI) eps) 1/2) x) (+ (PI) eps) (PI))
5.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (* (* (cos x) eps) -1/2) (* (cos x) eps) (+ (* (* (* x x) eps) -1/2) eps) (* (* x x) eps) (* x x) x eps -1/2 (sin x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (- (* (* (cos x) eps) -1/2) (sin x)) (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (* (- (* (* x x) 1/4) 1/2) eps) (- (* (* x x) 1/4) 1/2) (* (* x x) 1/4) 1/4 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (* eps x) 1/6 (* (* eps eps) 1/4) (* eps eps) (neg eps) (* (* eps eps) -1/2) (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (* (+ (* -1/48 (* eps eps)) 1/2) eps) (+ (* -1/48 (* eps eps)) 1/2) -1/48 (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (+ (* (+ (PI) eps) 1/2) x) (+ (PI) eps) (PI))

rewrite226.0ms (2.4%)

Memory

-26.6MiB live, 203.8MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	766	5982
0	815	5498
1	4316	5498
0	8323	5271

Stop Event

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

Counts

239 → 381

Calls

Call 1

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

Outputs
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) (sin.f64 x)))))
(-.f64 (.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) (sin.f64 x))
(.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) #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 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64))) (.f64 eps eps)) (-.f64 (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) eps))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)))) (-.f64 eps (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64) (.f64 (.f64 eps eps) eps)) (fma.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) (-.f64 (.f64 eps eps) (.f64 (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) eps))))
(/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (pow.f64 (.f64 (.f64 x x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 eps eps (-.f64 (.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64))) (.f64 eps (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64))))))
(fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)
(fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x x) eps)
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) eps) eps)
(-.f64 eps (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) eps)))
(+.f64 (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) eps)
(+.f64 eps (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))
(.f64 (.f64 x x) eps)
(.f64 eps (.f64 x x))
(.f64 x (.f64 eps x))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
eps
#s(literal -1/2 binary64)
(sin.f64 x)
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (neg.f64 x))) eps))
(.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (neg.f64 x))) eps)
(.f64 eps #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (neg.f64 x))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (neg.f64 x)))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))) eps))
(.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))) eps)
(.f64 eps #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps)
(.f64 eps (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal 1/4 binary64))) #s(literal 1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) x))) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 x x) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(.f64 #s(literal 1/4 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/4 binary64) x))
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) 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 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))) (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))) (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/8 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 3 binary64)) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/8 binary64)))) (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x))
(fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x))
(fma.f64 eps (.f64 #s(literal -1/2 binary64) eps) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x))
(fma.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(-.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) (.f64 (neg.f64 (*.f64 eps eps)) #s(literal -1/2 binary64)))
(-.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (neg.f64 x) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps))))
(+.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(+.f64 (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x))
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#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 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/48 binary64) (.f64 #s(literal 1/4 binary64) eps)) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* (cos x) eps) -1/2) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/1440 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/48 binary64) eps)) (.f64 #s(literal 1/4 binary64) eps)) (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (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 #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 (+ (* (* (* x x) eps) -1/2) eps) eps)
#s(approx (+ (* (* (* x x) eps) -1/2) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (* (* x x) eps) (.f64 (.f64 x x) eps))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (neg x) (neg.f64 x))
#s(approx (* (- (* (* x x) 1/4) 1/2) eps) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (- (* (* x x) 1/4) 1/2) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* x x) 1/4) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (* x x) 1/4) 1/2) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* x x) 1/4) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x)))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (neg.f64 eps))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (-.f64 (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/4 binary64)) eps))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps)) eps) x) eps))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (.f64 (.f64 eps eps) #s(literal 1/4 binary64)))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (neg.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))) x (.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))) x (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (fma.f64 (neg.f64 x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (neg.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))))
#s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 (neg.f64 x) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 x (-.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64)) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (fma.f64 (-.f64 (.f64 (fma.f64 (cos.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64))) x) #s(literal 1/6 binary64))) x) (sin.f64 (.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))) x (cos.f64 (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x))
#s(approx (+ (* (+ (PI) eps) 1/2) x) (*.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (PI) eps) 1/2) x) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (* (cos x) eps) -1/2) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) eps (/.f64 eps (.f64 x x))) (*.f64 x x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x))) (.f64 x x)))
#s(approx (* (- (* (* x x) 1/4) 1/2) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))
#s(approx (* (- (* (* x x) 1/4) 1/2) eps) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) eps)) (.f64 x x)))
#s(approx (- (* (* x x) 1/4) 1/2) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (- (* (* x x) 1/4) 1/2) (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 (.f64 x x) x) eps) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) eps)) (/.f64 (neg.f64 eps) (.f64 x x))) (.f64 (.f64 x x) x)))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 eps eps) (.f64 (.f64 x x) x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) eps))) (/.f64 eps (.f64 x x))) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) eps)) (.f64 x x)))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (.f64 (.f64 x x) (+.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 #s(literal 1/6 binary64) eps)) (/.f64 (neg.f64 eps) (*.f64 x x)))))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (.f64 #s(literal 1/6 binary64) (.f64 eps x)))
#s(approx (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) eps)) x))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (cos.f64 (.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) x)
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (*.f64 (fma.f64 (/.f64 (+.f64 (PI.f64) eps) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (PI) eps) 1/2) x) x)
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#s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (neg.f64 eps) (+.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) (/.f64 x eps)) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x) eps))) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (.f64 (fma.f64 #s(literal 1/4 binary64) x (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) eps))) (*.f64 eps eps)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (.f64 (cos.f64 (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
#s(approx (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2))) (.f64 (cos.f64 (.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (+ (* -1/48 (* eps eps)) 1/2) eps) (.f64 (.f64 (.f64 eps eps) (neg.f64 eps)) (-.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)))))
#s(approx (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (PI) eps) 1/2) x) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) #s(literal 1/2 binary64))))
#s(approx (+ (PI) eps) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (PI.f64) eps)) #s(literal 1 binary64))))

eval71.0ms (0.8%)

Memory: -10.7MiB live, 90.8MiB allocated; 47ms collecting garbage
Compiler: Compiled 6 052 to 2 269 computations (62.5% saved)

prune27.0ms (0.3%)

Memory

3.3MiB live, 49.7MiB allocated; 3ms collecting garbage

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	356	11	367
Fresh	3	15	18
Picked	4	1	5
Done	1	3	4
Total	364	30	394

Accuracy

100.0%

Counts

394 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.2%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	54.2%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	12.9%	(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x))) #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
	80.7%	(.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))))
	12.9%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)))))
	56.9%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (sin.f64 (+.f64 (neg.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	12.7%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (sin.f64 (+.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
	12.6%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 #s(approx (+ ( -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)))))
✓	53.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	99.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) #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))) eps))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
✓	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) eps))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) #s(approx (sin x) x)) eps))
	81.3%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	54.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
	80.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) eps))
	53.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))) eps))
✓	80.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (neg.f64 x))) eps))
	98.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 #s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	54.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
	80.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
	52.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 (.f64 x x) x) eps) #s(literal 1/6 binary64)))))
	11.8%	#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (*.f64 (sin.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
	11.9%	#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) (PI)) 1/2) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps))
	6.0%	#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) (PI)) 1/2) x)) eps))

Compiler

Compiled 1 492 to 1 056 computations (29.2% saved)

regimes37.0ms (0.4%)

Memory

16.5MiB live, 62.9MiB allocated; 2ms collecting garbage

Counts

51 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) #s(approx (sin x) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 (.f64 x x) x) eps) #s(literal 1/6 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #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)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 #s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) (PI)) 1/2) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) (PI)) 1/2) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) #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))) eps))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (*.f64 (sin.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 #s(approx (+ ( -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x))) #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (*.f64 #s(literal 1/2 binary64) eps)) (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 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (sin.f64 (+.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (sin.f64 (+.f64 (neg.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (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)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x) (/.f64 (PI.f64) #s(literal 2 binary64))) x) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #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))))
(.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 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))

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

Calls

3 calls:

13.0ms	x
12.0ms	eps
9.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes52.0ms (0.6%)

Memory

-20.6MiB live, 30.7MiB allocated; 6ms collecting garbage

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) #s(approx (sin x) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 (.f64 x x) x) eps) #s(literal 1/6 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) #s(approx (+ (* (- (* 1/4 (* eps x)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #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)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 #s(approx (+ (* (+ (* (* eps x) 1/6) (* (* eps eps) 1/4)) x) (neg eps)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/4 binary64) eps)) eps) x) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) (PI)) 1/2) x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (cos.f64 #s(approx ( (+ (* 2 x) (PI)) 1/2) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64))) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) #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))) eps))
#s(approx (* 2 (* (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (cos (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)))) (*.f64 (sin.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x (PI.f64)) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 #s(approx (+ ( -1/48 (* eps eps)) 1/2) #s(literal 1/2 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(.f64 (.f64 (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x))) #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) eps) eps #s(literal 1/2 binary64)) eps))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (*.f64 #s(literal 1/2 binary64) eps)) (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 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (sin.f64 (+.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (sin.f64 (+.f64 (neg.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x)))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ (/ (PI) 2) (+ eps x)) (+ (/ (PI) 2) x)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (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)))))

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

Calls

3 calls:

29.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
10.0ms	eps
10.0ms	x

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes19.0ms (0.2%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Counts

25 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

6.0ms	x
6.0ms	eps
5.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes13.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes32.0ms (0.3%)

Memory

-32.0MiB live, 14.7MiB allocated; 3ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
4.0ms	x
4.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes3.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
53.1%	1	`eps`
53.1%	1	`x`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations274.0ms (2.9%)

Memory

-17.0MiB live, 120.1MiB allocated; 17ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 109 to 81 computations (25.7% saved)

preprocess58.0ms (0.6%)

Memory: 39.0MiB live, 130.6MiB allocated; 12ms collecting garbage
Compiler: Compiled 143 to 112 computations (21.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze33.0ms (0.4%)

sample7.5s (79.9%)

preprocess51.0ms (0.5%)

series5.0ms (0%)

rewrite161.0ms (1.7%)

eval10.0ms (0.1%)

prune22.0ms (0.2%)

series39.0ms (0.4%)

rewrite234.0ms (2.5%)

eval104.0ms (1.1%)

prune18.0ms (0.2%)

series40.0ms (0.4%)

rewrite238.0ms (2.5%)

eval44.0ms (0.5%)

prune21.0ms (0.2%)

series38.0ms (0.4%)

rewrite226.0ms (2.4%)

eval71.0ms (0.8%)

prune27.0ms (0.3%)

regimes37.0ms (0.4%)

regimes52.0ms (0.6%)

regimes19.0ms (0.2%)

regimes13.0ms (0.1%)

regimes32.0ms (0.3%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

derivations274.0ms (2.9%)

preprocess58.0ms (0.6%)

end0.0ms (0%)

Profiling