Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

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

analyze31.0ms (0.4%)

Memory

-17.1MiB live, 29.9MiB allocated; 2ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.5s (74.4%)

Memory

190.7MiB live, 6 226.5MiB allocated; 2.6s collecting garbage

Samples

2.6s	26 113×	0	invalid
2.2s	5 793×	2	valid
391.0ms	2 403×	1	valid
6.0ms	60×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.4s

ival-cos: 2.2s (65.1% of total)

adjust: 358.0ms (10.5% of total)

ival-fabs: 227.0ms (6.6% of total)

ival-add!: 144.0ms (4.2% of total)

ival-mult!: 137.0ms (4% of total)

ival-<: 134.0ms (3.9% of total)

ival-sub!: 114.0ms (3.3% of total)

ival-and: 69.0ms (2% of total)

ival-assert: 12.0ms (0.4% of total)

Bogosity

preprocess96.0ms (1.1%)

Memory

-26.2MiB live, 15.5MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB 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	eps	@	inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))

rewrite176.0ms (2%)

Memory

6.6MiB live, 188.7MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	544
0	153	528
1	883	525
0	8275	504

Stop Event

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

Counts

42 → 113

Calls

Call 1

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

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

eval10.0ms (0.1%)

Memory: 21.0MiB live, 21.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 140 to 439 computations (61.5% saved)

prune13.0ms (0.2%)

Memory

-27.9MiB live, 17.5MiB allocated; 7ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	94	12	106
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	13	107

Accuracy

99.7%

Counts

107 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	47.2%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
▶	47.0%	(-.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 x))
▶	47.1%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
✓	47.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	45.8%	(-.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))))
▶	45.8%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	78.9%	(.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))))
	78.8%	(.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)))))
▶	45.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
▶	99.1%	#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))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
	77.0%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Compiler

Compiled 312 to 302 computations (3.2% saved)

series30.0ms (0.3%)

Memory

-2.1MiB live, 42.3MiB allocated; 7ms collecting garbage

Counts

34 → 176

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos 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)) (sin (+ (/ (PI) 2) x))) (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2) (PI) 2 (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (sin (+ (neg (+ eps x)) (/ (PI) 2))) (+ (neg (+ eps x)) (/ (PI) 2)) (neg (+ eps x)) (+ eps x))
4.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos 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)) (sin (+ (/ (PI) 2) x))) (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2) (PI) 2 (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (sin (+ (neg (+ eps x)) (/ (PI) 2))) (+ (neg (+ eps x)) (/ (PI) 2)) (neg (+ eps x)) (+ eps x))
4.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos 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)) (sin (+ (/ (PI) 2) x))) (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2) (PI) 2 (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (sin (+ (neg (+ eps x)) (/ (PI) 2))) (+ (neg (+ eps x)) (/ (PI) 2)) (neg (+ eps x)) (+ eps x))
3.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos 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)) (sin (+ (/ (PI) 2) x))) (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2) (PI) 2 (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (sin (+ (neg (+ eps x)) (/ (PI) 2))) (+ (neg (+ eps x)) (/ (PI) 2)) (neg (+ eps x)) (+ eps x))
3.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos 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)) (sin (+ (/ (PI) 2) x))) (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2) (PI) 2 (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (sin (+ (neg (+ eps x)) (/ (PI) 2))) (+ (neg (+ eps x)) (/ (PI) 2)) (neg (+ eps x)) (+ eps x))

rewrite179.0ms (2.1%)

Memory

32.6MiB live, 218.2MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	656	3924
0	700	3642
1	3927	3642
0	8230	3517

Stop Event

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

Counts

210 → 344

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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))
(.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(.f64 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)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))))
(-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) eps))
(fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) eps))
(+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(fma.f64 (.f64 #s(literal 1/6 binary64) eps) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (sin.f64 x) (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
(-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 x) eps)))
(+.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
(*.f64 (sin.f64 x) eps)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
x
eps
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 eps)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 eps) #s(literal 1 binary64)))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(sin.f64 (+.f64 (neg.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 eps) #s(literal 0 binary64) (*.f64 (cos.f64 eps) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 eps)))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
(+.f64 (.f64 (sin.f64 eps) #s(literal 0 binary64)) (.f64 (cos.f64 eps) #s(literal 1 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 (sin (+ (/ (PI) 2) x)) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (+.f64 (cos.f64 (+.f64 eps x)) #s(approx (sin (+ (/ (PI) 2) 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 (sin (+ (/ (PI) 2) 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 (sin (+ (/ (PI) 2) x)) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 eps x)) #s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
(-.f64 (cos.f64 (+.f64 eps x)) #s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(sin.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (neg.f64 (+.f64 eps x))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 (+.f64 eps x)))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (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)) #s(literal 0 binary64)) (.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 (+.f64 eps x)))))
(+.f64 (.f64 (sin.f64 (neg.f64 (+.f64 eps x))) #s(literal 0 binary64)) (.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
(/.f64 (-.f64 (.f64 eps eps) (.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 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x))))
(+.f64 eps x)
(+.f64 x eps)
#s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 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 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #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) (pow.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 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 x #s(literal -1/2 binary64)) #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 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) x) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(-.f64 (cos.f64 (+.f64 eps x)) (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 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.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)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#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 (+.f64 eps x) x) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(sin.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (neg.f64 (+.f64 eps x))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 (+.f64 eps x)))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (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)) #s(literal 0 binary64)) (.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 (+.f64 eps x)))))
(+.f64 (.f64 (sin.f64 (neg.f64 (+.f64 eps x))) #s(literal 0 binary64)) (.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (neg.f64 (+.f64 eps x)) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (+.f64 eps x)))
(neg.f64 (+.f64 eps x))
(fma.f64 #s(literal -1 binary64) eps (neg.f64 x))
(fma.f64 eps #s(literal -1 binary64) (neg.f64 x))
(+.f64 (neg.f64 eps) (neg.f64 x))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
(/.f64 (-.f64 (.f64 eps eps) (.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 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x))))
(+.f64 eps x)
(+.f64 x eps)
#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (-.f64 (fma.f64 x (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (-.f64 (fma.f64 x (-.f64 (.f64 (+.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) (.f64 eps eps)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) x (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64)))
#s(approx (* (sin x) eps) (*.f64 eps x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/120 binary64) eps)) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.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 (* -1/2 (cos x)) #s(literal -1/2 binary64))
#s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64))
#s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (sin (+ (/ (PI) 2) 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 (sin (+ (/ (PI) 2) x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos.f64 eps))
#s(approx (sin (+ (neg (+ eps x)) (/ (PI) 2))) (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)))
#s(approx (sin (+ (neg (+ eps x)) (/ (PI) 2))) (fma.f64 x (-.f64 (.f64 (.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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 (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (-.f64 (cos.f64 eps) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (-.f64 (fma.f64 (neg.f64 x) (+.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (-.f64 (fma.f64 (-.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 eps)) x (cos.f64 eps)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (-.f64 (fma.f64 (-.f64 (-.f64 (.f64 (fma.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) (+.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 eps))) (.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 eps)) x (cos.f64 eps)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (/ (PI) 2) x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 x (fma.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -1/6 binary64) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ (/ (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 (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)) #s(literal 1 binary64)))
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#s(approx (+ eps x) eps)
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#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
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#s(approx (sin (+ (/ (PI) 2) x)) (cos.f64 x))
#s(approx (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos.f64 (+.f64 eps x)))
#s(approx (+ eps x) x)
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#s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (sin (+ (/ (PI) 2) x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
#s(approx (+ (/ (PI) 2) x) x)
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#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (-.f64 (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) x)) (cos.f64 x)))
#s(approx (sin (+ (neg (+ eps x)) (/ (PI) 2))) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) x)))
#s(approx (+ (neg (+ eps x)) (/ (PI) 2)) (neg.f64 x))
#s(approx (+ (neg (+ eps x)) (/ (PI) 2)) (.f64 (-.f64 (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 eps x)) x))
#s(approx (neg (+ eps x)) (neg.f64 x))
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#s(approx (+ eps x) x)
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#s(approx (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos.f64 (-.f64 eps (neg.f64 x))))
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#s(approx (sin (+ (/ (PI) 2) x)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 x))))
#s(approx (+ (/ (PI) 2) x) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
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#s(approx (sin (+ (neg (+ eps x)) (/ (PI) 2))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)) eps)))
#s(approx (+ (neg (+ eps x)) (/ (PI) 2)) (.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) eps) x)) #s(literal 1 binary64))))
#s(approx (neg (+ eps x)) (*.f64 (neg.f64 x) (+.f64 (/.f64 eps x) #s(literal 1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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 (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) eps))
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#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (*.f64 #s(literal -1/2 binary64) (cos.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 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (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 (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos.f64 x))
#s(approx (sin (+ (neg (+ eps x)) (/ (PI) 2))) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x)))
#s(approx (sin (+ (neg (+ eps x)) (/ (PI) 2))) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))
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#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (-.f64 (cos.f64 x) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
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#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) (cos.f64 x)))
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#s(approx (sin (+ (neg (+ eps x)) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
#s(approx (sin (+ (neg (+ eps x)) (/ (PI) 2))) (fma.f64 (neg.f64 eps) (cos.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
#s(approx (sin (+ (neg (+ eps x)) (/ (PI) 2))) (fma.f64 (fma.f64 (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)) eps) #s(literal -1/2 binary64) (neg.f64 (cos.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)))) eps (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
#s(approx (sin (+ (neg (+ eps x)) (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64) (.f64 (.f64 (cos.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)) eps) #s(literal 1/6 binary64))) eps (neg.f64 (cos.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)))) eps (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))))
#s(approx (+ (neg (+ eps x)) (/ (PI) 2)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))
#s(approx (+ (neg (+ eps x)) (/ (PI) 2)) (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 eps)) x))
#s(approx (neg (+ eps x)) (-.f64 (neg.f64 eps) x))
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#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 (.f64 eps eps) eps)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 eps eps)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (.f64 (*.f64 eps eps) eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) (sin.f64 x)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 eps eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 eps eps)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (.f64 eps eps)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) 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 (+ (neg (+ eps x)) (/ (PI) 2)) (neg.f64 eps))
#s(approx (+ (neg (+ eps x)) (/ (PI) 2)) (.f64 (-.f64 (-.f64 (.f64 (/.f64 (PI.f64) eps) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x eps)) eps))
#s(approx (neg (+ eps x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64)) eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
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#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (neg.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64)))))
#s(approx (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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 (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (-.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 eps)) x)) (cos.f64 x)))
#s(approx (sin (+ (neg (+ eps x)) (/ (PI) 2))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 eps)) x)))
#s(approx (+ (neg (+ eps x)) (/ (PI) 2)) (.f64 (neg.f64 eps) (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) #s(literal 1 binary64))))
#s(approx (neg (+ eps x)) (*.f64 (neg.f64 eps) (+.f64 (/.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: -29.9MiB live, 72.6MiB allocated; 20ms collecting garbage
Compiler: Compiled 4 115 to 1 549 computations (62.4% saved)

prune18.0ms (0.2%)

Memory

38.2MiB live, 38.2MiB allocated; 0ms collecting garbage

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	324	17	341
Fresh	3	4	7
Picked	4	1	5
Done	0	1	1
Total	331	23	354

Accuracy

99.9%

Counts

354 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	47.2%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
▶	47.1%	(-.f64 (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)) x)))
	47.1%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
✓	47.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	45.8%	(-.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))))
	47.0%	(-.f64 #s(approx (sin (+ (neg (+ eps x)) (/ (PI) 2))) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) x))) (cos.f64 x))
	78.9%	(.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))))
	78.8%	(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))))
▶	98.9%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	77.0%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	45.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶	45.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
	97.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
▶	97.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
	97.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	46.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
▶	97.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	97.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))

Compiler

Compiled 884 to 833 computations (5.8% saved)

series121.0ms (1.4%)

Memory

-29.6MiB live, 61.2MiB allocated; 11ms collecting garbage

Counts

48 → 261

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
78.0ms	x	@	inf	((- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) (* eps x) 1/4 (* (* eps eps) 1/6) (* eps eps) 1/6 (* -1/2 eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) (* (+ (* -1/36 (* eps eps)) 1/6) x) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* 1/4 (* eps eps)) (* (- (* (* eps eps) 1/6) 1) eps) (- (* (* eps eps) 1/6) 1) (* (* eps eps) -1/2) (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (sin (+ (/ (PI) 2) x))) (sin (+ (neg (+ eps x)) (/ (PI) 2))) (+ (neg (+ eps x)) (/ (PI) 2)) (neg (+ eps x)) (+ eps x) (/ (PI) 2) (PI) 2 (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x))
12.0ms	eps	@	-inf	((- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) (* eps x) 1/4 (* (* eps eps) 1/6) (* eps eps) 1/6 (* -1/2 eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) (* (+ (* -1/36 (* eps eps)) 1/6) x) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* 1/4 (* eps eps)) (* (- (* (* eps eps) 1/6) 1) eps) (- (* (* eps eps) 1/6) 1) (* (* eps eps) -1/2) (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (sin (+ (/ (PI) 2) x))) (sin (+ (neg (+ eps x)) (/ (PI) 2))) (+ (neg (+ eps x)) (/ (PI) 2)) (neg (+ eps x)) (+ eps x) (/ (PI) 2) (PI) 2 (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x))
11.0ms	eps	@	inf	((- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) (* eps x) 1/4 (* (* eps eps) 1/6) (* eps eps) 1/6 (* -1/2 eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) (* (+ (* -1/36 (* eps eps)) 1/6) x) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* 1/4 (* eps eps)) (* (- (* (* eps eps) 1/6) 1) eps) (- (* (* eps eps) 1/6) 1) (* (* eps eps) -1/2) (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (sin (+ (/ (PI) 2) x))) (sin (+ (neg (+ eps x)) (/ (PI) 2))) (+ (neg (+ eps x)) (/ (PI) 2)) (neg (+ eps x)) (+ eps x) (/ (PI) 2) (PI) 2 (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x))
5.0ms	x	@	-inf	((- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) (* eps x) 1/4 (* (* eps eps) 1/6) (* eps eps) 1/6 (* -1/2 eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) (* (+ (* -1/36 (* eps eps)) 1/6) x) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* 1/4 (* eps eps)) (* (- (* (* eps eps) 1/6) 1) eps) (- (* (* eps eps) 1/6) 1) (* (* eps eps) -1/2) (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (sin (+ (/ (PI) 2) x))) (sin (+ (neg (+ eps x)) (/ (PI) 2))) (+ (neg (+ eps x)) (/ (PI) 2)) (neg (+ eps x)) (+ eps x) (/ (PI) 2) (PI) 2 (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x))
5.0ms	eps	@	0	((- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) (* eps x) 1/4 (* (* eps eps) 1/6) (* eps eps) 1/6 (* -1/2 eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) (* (+ (* -1/36 (* eps eps)) 1/6) x) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* 1/4 (* eps eps)) (* (- (* (* eps eps) 1/6) 1) eps) (- (* (* eps eps) 1/6) 1) (* (* eps eps) -1/2) (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (sin (+ (/ (PI) 2) x))) (sin (+ (neg (+ eps x)) (/ (PI) 2))) (+ (neg (+ eps x)) (/ (PI) 2)) (neg (+ eps x)) (+ eps x) (/ (PI) 2) (PI) 2 (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x))

rewrite227.0ms (2.6%)

Memory

-3.7MiB live, 240.4MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1010	7841
0	1074	7356
1	6066	7356
0	8419	7070

Stop Event

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

Counts

309 → 488

Calls

Call 1

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

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

eval76.0ms (0.9%)

Memory: 32.8MiB live, 77.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 7 364 to 2 870 computations (61% saved)

prune38.0ms (0.4%)

Memory

9.9MiB live, 56.3MiB allocated; 3ms collecting garbage

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	470	23	493
Fresh	8	8	16
Picked	3	2	5
Done	0	2	2
Total	481	35	516

Accuracy

99.9%

Counts

516 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	47.2%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	47.1%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
✓	47.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	47.0%	(-.f64 #s(approx (sin (+ (neg (+ eps x)) (/ (PI) 2))) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) x))) (cos.f64 x))
	78.9%	(.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))))
	78.8%	(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
✓	98.9%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
▶	98.3%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
▶	98.5%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	77.0%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	97.6%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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))
	97.0%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
	46.8%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))) eps))
	46.7%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
	97.2%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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)))))
	98.0%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) #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))))
	46.8%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64))))
	47.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) eps) x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
✓	45.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	97.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	97.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 eps #s(literal -1/2 binary64) (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64)) x))) eps))
▶	97.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 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))
	76.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x)) (.f64 x x)))) eps))
	45.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))) eps))
	45.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) x))) eps))
▶	76.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (neg.f64 x))) eps))
	97.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	97.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
▶	46.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	76.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
	45.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) x) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))
	45.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (neg.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x) (.f64 (.f64 eps eps) eps))))))

Compiler

Compiled 1 848 to 1 735 computations (6.1% saved)

series35.0ms (0.4%)

Memory

-40.8MiB live, 52.5MiB allocated; 13ms collecting garbage

Counts

43 → 172

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (- (* (* x x) 1/4) 1/2) (* (* x x) 1/4) (* x x) 1/4 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (* (* (* eps eps) eps) (+ (* (* x x) -1/36) 1/6)) (* (* eps eps) eps) (* eps eps) (+ (* (* x x) -1/36) 1/6) -1/36 1/6 (* (* eps eps) -1/2) (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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 x) -1/2) 1) 1)
5.0ms	eps	@	-inf	((- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (- (* (* x x) 1/4) 1/2) (* (* x x) 1/4) (* x x) 1/4 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (* (* (* eps eps) eps) (+ (* (* x x) -1/36) 1/6)) (* (* eps eps) eps) (* eps eps) (+ (* (* x x) -1/36) 1/6) -1/36 1/6 (* (* eps eps) -1/2) (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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 x) -1/2) 1) 1)
4.0ms	eps	@	inf	((- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (- (* (* x x) 1/4) 1/2) (* (* x x) 1/4) (* x x) 1/4 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (* (* (* eps eps) eps) (+ (* (* x x) -1/36) 1/6)) (* (* eps eps) eps) (* eps eps) (+ (* (* x x) -1/36) 1/6) -1/36 1/6 (* (* eps eps) -1/2) (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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 x) -1/2) 1) 1)
4.0ms	x	@	inf	((- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (- (* (* x x) 1/4) 1/2) (* (* x x) 1/4) (* x x) 1/4 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (* (* (* eps eps) eps) (+ (* (* x x) -1/36) 1/6)) (* (* eps eps) eps) (* eps eps) (+ (* (* x x) -1/36) 1/6) -1/36 1/6 (* (* eps eps) -1/2) (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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 x) -1/2) 1) 1)
4.0ms	eps	@	0	((- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (- (* (* x x) 1/4) 1/2) (* (* x x) 1/4) (* x x) 1/4 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (* (* (* eps eps) eps) (+ (* (* x x) -1/36) 1/6)) (* (* eps eps) eps) (* eps eps) (+ (* (* x x) -1/36) 1/6) -1/36 1/6 (* (* eps eps) -1/2) (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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 x) -1/2) 1) 1)

rewrite183.0ms (2.1%)

Memory

48.8MiB live, 233.3MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	772	6240
0	813	6047
1	4807	6047
0	8123	5664

Stop Event

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

Counts

215 → 312

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.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 #s(literal 2 binary64) 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 #s(literal 2 binary64) 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 (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (neg.f64 x))) eps))
(.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (neg.f64 x))) eps)
(.f64 eps #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (neg.f64 x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (neg.f64 x)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 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 (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 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))
(.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 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)
(.f64 eps #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 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)))
(/.f64 (-.f64 (.f64 (.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 x x)) (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps) (neg.f64 x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.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 (neg.f64 x) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps) #s(literal 3 binary64)) (.f64 (.f64 x x) (neg.f64 x))) (fma.f64 (.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 x x) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps) (neg.f64 x)))))
(/.f64 (fma.f64 (.f64 x x) (neg.f64 x) (pow.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.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 (neg.f64 x) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps)))))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))
(fma.f64 x #s(literal -1 binary64) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))
(fma.f64 eps (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))
(-.f64 (neg.f64 x) (.f64 (neg.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)) #s(literal 1/2 binary64)) eps) (neg.f64 x))
(+.f64 (neg.f64 x) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))
(/.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))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.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 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps))) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps))) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) 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 #s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps))) x) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps))) x) #s(literal 3 binary64)) (.f64 (.f64 (.f64 eps eps) eps) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 eps eps) eps)))) (+.f64 (pow.f64 (.f64 #s(approx (+ ( (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) 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 #s(approx (+ ( (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps))) x) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))
(fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 #s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps))) x))
(fma.f64 #s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps))) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 eps eps) (.f64 #s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps))) x))
(fma.f64 x #s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 eps (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps))) x))
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#s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps)))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps))
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#s(literal 1 binary64)
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#s(approx (* (cos x) eps) eps)
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#s(approx (sin x) x)
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#s(approx (* (* x x) 1/4) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (* x x) (*.f64 x x))
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#s(approx (+ (* (* x x) -1/36) 1/6) (.f64 (.f64 x x) #s(literal -1/36 binary64)))
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#s(approx (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (fma.f64 (neg.f64 eps) (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 eps eps) x)))))
#s(approx (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (fma.f64 (neg.f64 eps) (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) eps) eps (/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x)) x)))))
#s(approx (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (fma.f64 (neg.f64 eps) (fma.f64 (.f64 eps eps) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) eps) eps (neg.f64 (/.f64 (fma.f64 (neg.f64 eps) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64))) x))) x)))))
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#s(approx (- (* (* (cos x) eps) -1/2) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx eps eps)
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#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
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#s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps))
#s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x eps))) #s(literal 1 binary64)) eps))
#s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) eps (.f64 #s(literal 1/4 binary64) x)) eps (.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) eps))
#s(approx (* (* (* eps eps) eps) (+ (* (* x x) -1/36) 1/6)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps)))
#s(approx (* (* eps eps) eps) (.f64 (.f64 eps eps) eps))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (* (* eps eps) -1/2) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* (cos x) eps) -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 (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (sin.f64 x)) #s(literal 1/6 binary64)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 (.f64 eps eps) eps)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 eps eps)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (.f64 (*.f64 eps eps) eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) (sin.f64 x)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 eps eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 eps eps)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (.f64 eps eps)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) x))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 eps eps)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (+.f64 (/.f64 (neg.f64 x) (.f64 eps eps)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))) (*.f64 eps eps)))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (.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 (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) x) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x)) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 1/4 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 eps eps)))) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 (*.f64 eps eps) eps)))
#s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/36 binary64))) #s(literal 1/6 binary64)) (.f64 (*.f64 eps eps) eps)))
#s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (-.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (fma.f64 (/.f64 (.f64 x x) (.f64 eps eps)) #s(literal 1/6 binary64) (.f64 (/.f64 x eps) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 eps)) x)) (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 x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (neg.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64))) (.f64 (.f64 eps eps) eps))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (neg.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) (.f64 eps eps)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) x (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps))) (*.f64 eps eps)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) x (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) (/.f64 x eps)) #s(literal 1/2 binary64)) eps))) (*.f64 eps eps)))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (.f64 (neg.f64 eps) (+.f64 (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (/.f64 x eps))))
#s(approx (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 eps eps) (neg.f64 eps)) (.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)))
#s(approx (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 eps eps) (neg.f64 eps)) (fma.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x (/.f64 (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps))))
#s(approx (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 eps eps) (neg.f64 eps)) (fma.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x (neg.f64 (/.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)) eps)))))
#s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (.f64 (.f64 eps eps) (neg.f64 eps)) (-.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (.f64 (.f64 eps eps) (neg.f64 eps)) (fma.f64 (/.f64 x eps) #s(literal -1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
#s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (.f64 (.f64 eps eps) (neg.f64 eps)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (neg.f64 (/.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))) eps))) #s(literal 1/6 binary64))))

eval85.0ms (1%)

Memory: -27.2MiB live, 61.6MiB allocated; 16ms collecting garbage
Compiler: Compiled 4 949 to 2 004 computations (59.5% saved)

prune81.0ms (0.9%)

Memory

19.0MiB live, 63.6MiB allocated; 6ms collecting garbage

Pruning

37 alts after pruning (30 fresh and 7 done)

	Pruned	Kept	Total
New	313	8	321
Fresh	4	22	26
Picked	2	3	5
Done	0	4	4
Total	319	37	356

Accuracy

99.9%

Counts

356 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	47.2%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	47.1%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
✓	47.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	47.0%	(-.f64 #s(approx (sin (+ (neg (+ eps x)) (/ (PI) 2))) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) x))) (cos.f64 x))
	78.9%	(.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))))
	78.8%	(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
✓	98.9%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	97.8%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps) #s(literal -1/2 binary64)) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
✓	98.5%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
	97.7%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) 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))
	97.7%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) 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))
	97.5%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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))
	97.0%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* (cos x) eps) eps) #s(literal -1/2 binary64)) #s(approx (sin x) x)) eps))
	77.0%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	97.6%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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))
	46.8%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))) eps))
	46.7%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) (.f64 #s(approx (- ( (* (cos x) eps) -1/2) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
	97.2%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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)))))
	98.0%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) #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))))
	46.8%	#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (cos x)) #s(approx (* (- (* (* (cos x) eps) -1/2) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64))))
	47.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (sin.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) eps) x)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
✓	45.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	97.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	76.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (fma.f64 #s(approx (- (* (* x x) 1/4) 1/2) (.f64 (.f64 x x) #s(literal 1/4 binary64))) eps (neg.f64 x)))) eps))
	76.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x)) (.f64 x x)))) eps))
	45.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))) eps))
	45.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) x))) eps))
✓	76.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (neg.f64 x))) eps))
	76.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))))) eps))
	97.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
✓	46.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	76.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
	45.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) x) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))))))
	45.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (+ (* (+ (* (* (+ (* -1/36 (* eps eps)) 1/6) x) eps) (* 1/4 (* eps eps))) x) (* (- (* (* eps eps) 1/6) 1) eps)) x) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 eps eps) (neg.f64 eps)) (.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)))))

Compiler

Compiled 1 850 to 1 374 computations (25.7% saved)

regimes75.0ms (0.9%)

Memory

-25.6MiB live, 83.8MiB allocated; 26ms collecting garbage

Counts

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

Calls

3 calls:

44.0ms	eps
15.0ms	x
12.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes44.0ms (0.5%)

Memory

38.9MiB live, 83.4MiB allocated; 5ms collecting garbage

Counts

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

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

Calls

3 calls:

17.0ms	x
14.0ms	eps
10.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes51.0ms (0.6%)

Memory

-37.3MiB live, 62.4MiB allocated; 9ms collecting garbage

Counts

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

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

Calls

3 calls:

12.0ms	x
12.0ms	eps
11.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes38.0ms (0.4%)

Memory

30.1MiB live, 86.4MiB allocated; 16ms collecting garbage

Counts

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

Outputs

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

Calls

3 calls:

12.0ms	x
8.0ms	eps
6.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
97.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.8%	1	`x`
97.8%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes79.0ms (0.9%)

Memory

47.4MiB live, 75.9MiB allocated; 13ms collecting garbage

Counts

31 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

63.0ms	x
8.0ms	eps
6.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
97.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.8%	1	`x`
97.8%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes15.0ms (0.2%)

Memory

23.0MiB live, 23.0MiB allocated; 0ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

Outputs

#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.5%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.5%	1	`x`
97.5%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes13.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Counts

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

Outputs
#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes40.0ms (0.5%)

Memory

-88.6MiB live, 15.5MiB allocated; 20ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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
97.0%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.0%	1	`x`
97.0%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB 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 (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (sin (+ (neg (+ eps x)) (/ (PI) 2))) (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 (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 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
76.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
76.1%	1	`x`
76.1%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes3.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
45.3%	1	`eps`
45.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
45.3%	1	`x`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations353.0ms (4%)

Memory

-1.0MiB live, 383.7MiB allocated; 82ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 171 to 119 computations (30.4% saved)

preprocess73.0ms (0.8%)

Memory: 17.4MiB live, 154.9MiB allocated; 16ms collecting garbage
Compiler: Compiled 205 to 150 computations (26.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze31.0ms (0.4%)

sample6.5s (74.4%)

preprocess96.0ms (1.1%)

series5.0ms (0.1%)

rewrite176.0ms (2%)

eval10.0ms (0.1%)

prune13.0ms (0.2%)

series30.0ms (0.3%)

rewrite179.0ms (2.1%)

eval44.0ms (0.5%)

prune18.0ms (0.2%)

series121.0ms (1.4%)

rewrite227.0ms (2.6%)

eval76.0ms (0.9%)

prune38.0ms (0.4%)

series35.0ms (0.4%)

rewrite183.0ms (2.1%)

eval85.0ms (1%)

prune81.0ms (0.9%)

regimes75.0ms (0.9%)

regimes44.0ms (0.5%)

regimes51.0ms (0.6%)

regimes38.0ms (0.4%)

regimes79.0ms (0.9%)

regimes15.0ms (0.2%)

regimes13.0ms (0.1%)

regimes40.0ms (0.5%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

derivations353.0ms (4%)

preprocess73.0ms (0.8%)

end0.0ms (0%)

Profiling