Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

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

analyze44.0ms (0.5%)

Memory

-5.0MiB live, 47.6MiB allocated; 23ms 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)

sample5.8s (72%)

Memory

40.1MiB live, 4 347.3MiB allocated; 1.7s collecting garbage

Samples

2.5s	5 708×	2	valid
1.7s	25 862×	0	invalid
513.0ms	2 497×	1	valid
11.0ms	51×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.6s

ival-cos: 1.9s (54.4% of total)

adjust: 849.0ms (23.9% of total)

ival-fabs: 216.0ms (6.1% of total)

ival-mult!: 151.0ms (4.2% of total)

ival-<: 119.0ms (3.3% of total)

ival-add!: 107.0ms (3% of total)

ival-sub!: 107.0ms (3% of total)

ival-and: 59.0ms (1.7% of total)

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

Bogosity

preprocess37.0ms (0.5%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series15.0ms (0.2%)

Memory

-42.0MiB live, 3.0MiB allocated; 9ms collecting garbage

Counts

6 → 33

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
3.0ms	x	@	-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	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))

rewrite123.0ms (1.5%)

Memory

-5.9MiB live, 54.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

39 → 110

Calls

Call 1

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

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

eval10.0ms (0.1%)

Memory: 9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 126 to 429 computations (61.9% saved)

prune9.0ms (0.1%)

Memory

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

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	90	12	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	13	103

Accuracy

99.8%

Counts

103 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.1%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
	46.1%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	46.0%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
✓	46.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	44.9%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
▶	45.2%	(-.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))))
▶	44.5%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	78.7%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
▶	43.8%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
▶	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (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))
▶	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
	75.5%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Compiler

Compiled 332 to 320 computations (3.6% saved)

series29.0ms (0.4%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Counts

41 → 160

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x))
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(cos.f64 x)
x
#s(literal -1/2 binary64)
(.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(sin.f64 x)
#s(literal 1/6 binary64)
(.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))
(*.f64 (cos.f64 x) eps)
eps
#s(literal 1/24 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
#s(literal 1 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x)
(-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64))
(.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(*.f64 #s(literal -1/2 binary64) (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) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2)))))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x)))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/48 (* (pow eps 2) x)) (* 1/6 eps))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* -1/48 (* eps (pow x 2))) (* 1/24 eps))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/576 (* eps (pow x 2))))))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* (pow x 2) (+ (* -1/17280 (* eps (pow x 2))) (* 1/576 eps))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* 1/24 x)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow x 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (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 (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (* 1/24 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* -1/720 (pow x 6))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1/720 (pow x 5))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) (- (cos (+ x eps)) (cos x)) (cos x) (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)))
5.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) (- (cos (+ x eps)) (cos x)) (cos x) (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)))
5.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) (- (cos (+ x eps)) (cos x)) (cos x) (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)))
4.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) (- (cos (+ x eps)) (cos x)) (cos x) (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)))
3.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) eps 1/24 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) (- (cos (+ x eps)) (cos x)) (cos x) (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (* (+ (* -1/720 (* x x)) 1/24) x) (+ (* -1/720 (* x x)) 1/24) -1/720 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)))

rewrite154.0ms (1.9%)

Memory

-30.8MiB live, 60.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	664	4539
0	722	4449
1	3922	4449
0	8350	4310

Stop Event

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

Counts

201 → 386

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x))
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
(cos.f64 x)
x
#s(literal -1/2 binary64)
(.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
(sin.f64 x)
#s(literal 1/6 binary64)
(.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))
(*.f64 (cos.f64 x) eps)
eps
#s(literal 1/24 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
#s(literal 1 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x)
(-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64))
(.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(*.f64 #s(literal -1/2 binary64) (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) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2)))))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x)))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/48 (* (pow eps 2) x)) (* 1/6 eps))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* -1/48 (* eps (pow x 2))) (* 1/24 eps))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/576 (* eps (pow x 2))))))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* (pow x 2) (+ (* -1/17280 (* eps (pow x 2))) (* 1/576 eps))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) #s(hole binary64 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* 1/24 x)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* -1/720 (pow x 2))))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow x 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (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 (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (* 1/24 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* -1/720 (pow x 6))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1/720 (pow x 5))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (sin.f64 x))))
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#s(literal 1/2 binary64)
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#s(approx (cos x) #s(literal 1 binary64))
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#s(approx x x)
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#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
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#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)))
#s(approx (cos (+ x eps)) (fma.f64 x (-.f64 (.f64 (.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (cos (+ x eps)) (fma.f64 x (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) x) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) x))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (* (* (+ (* -1/720 (* x x)) 1/24) x) x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x) x))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x))
#s(approx (+ (* -1/720 (* x x)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* x x)) 1/24) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps eps)) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (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 (* (* -1/2 (cos x)) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/48 binary64) (.f64 #s(literal 1/4 binary64) eps)) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/1440 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/48 binary64) eps)) (.f64 #s(literal 1/4 binary64) eps)) (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* -1/2 (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 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.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 (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (* (cos x) eps) 1/24) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/720 binary64)))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/720 binary64)))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/720 binary64)))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))))
#s(approx (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/720 binary64)))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) (.f64 (.f64 (.f64 x x) x) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64))))
#s(approx (+ (* -1/720 (* x x)) 1/24) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* x x)) 1/24) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (*.f64 x x)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))
#s(approx (* (* -1/2 (cos x)) eps) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 eps (neg.f64 x))))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (- (* (* (+ (* -1/720 (* x x)) 1/24) x) x) 1/2) x) (neg.f64 (.f64 (+.f64 #s(literal 1/720 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* -1/720 (* x x)) 1/24) x) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#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) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos (+ x eps)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x)))
#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 (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 eps eps) eps)) (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps)) #s(literal 1/24 binary64)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 eps eps) eps)) (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))))) (.f64 (*.f64 eps eps) eps)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal 1/24 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 eps eps)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (.f64 eps eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) eps))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (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 (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (cos.f64 x) #s(literal 1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/24 binary64) (cos.f64 x))) (.f64 (.f64 eps eps) eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (neg.f64 eps) (*.f64 eps eps)) (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) eps)))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (fma.f64 (cos.f64 x) #s(literal 1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps))) (*.f64 eps eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/24 binary64) (cos.f64 x)))))
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))

eval45.0ms (0.6%)

Memory: 40.3MiB live, 40.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 6 237 to 2 446 computations (60.8% saved)

prune26.0ms (0.3%)

Memory

-23.6MiB live, 21.4MiB allocated; 5ms collecting garbage

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	392	20	412
Fresh	2	5	7
Picked	3	2	5
Done	0	1	1
Total	397	28	425

Accuracy

100.0%

Counts

425 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.1%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
	46.1%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	46.0%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
✓	46.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	78.7%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	43.8%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	99.7%	#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))
▶	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x)) eps))
✓	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.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 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
	97.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64))) eps) (sin.f64 x)) eps))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #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))) eps) (sin.f64 x)) eps))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	75.5%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
▶	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
	45.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps))
▶	97.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	96.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	96.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))) eps))
▶	45.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
	98.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
▶	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (.f64 eps eps))))

Compiler

Compiled 1 142 to 1 068 computations (6.5% saved)

series57.0ms (0.7%)

Memory

-20.2MiB live, 33.1MiB allocated; 6ms collecting garbage

Counts

58 → 235

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* (* x x) eps) (* x x) eps 1/24 (* -1/2 eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (* (+ (* 1/4 eps) (* 1/6 x)) x) (+ (* 1/4 eps) (* 1/6 x)) 1/4 (* 1/6 x) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* eps eps) (* (+ (* -1/48 (* eps eps)) 1/4) eps) (+ (* -1/48 (* eps eps)) 1/4) -1/48 (* (* eps eps) 1/6) (* (- (* (* eps eps) 1/24) 1/2) eps) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (* (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (* eps eps)) (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (/ (neg (sin x)) eps) (neg (sin x)))
10.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* (* x x) eps) (* x x) eps 1/24 (* -1/2 eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (* (+ (* 1/4 eps) (* 1/6 x)) x) (+ (* 1/4 eps) (* 1/6 x)) 1/4 (* 1/6 x) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* eps eps) (* (+ (* -1/48 (* eps eps)) 1/4) eps) (+ (* -1/48 (* eps eps)) 1/4) -1/48 (* (* eps eps) 1/6) (* (- (* (* eps eps) 1/24) 1/2) eps) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (* (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (* eps eps)) (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (/ (neg (sin x)) eps) (neg (sin x)))
8.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* (* x x) eps) (* x x) eps 1/24 (* -1/2 eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (* (+ (* 1/4 eps) (* 1/6 x)) x) (+ (* 1/4 eps) (* 1/6 x)) 1/4 (* 1/6 x) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* eps eps) (* (+ (* -1/48 (* eps eps)) 1/4) eps) (+ (* -1/48 (* eps eps)) 1/4) -1/48 (* (* eps eps) 1/6) (* (- (* (* eps eps) 1/24) 1/2) eps) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (* (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (* eps eps)) (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (/ (neg (sin x)) eps) (neg (sin x)))
7.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* (* x x) eps) (* x x) eps 1/24 (* -1/2 eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (* (+ (* 1/4 eps) (* 1/6 x)) x) (+ (* 1/4 eps) (* 1/6 x)) 1/4 (* 1/6 x) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* eps eps) (* (+ (* -1/48 (* eps eps)) 1/4) eps) (+ (* -1/48 (* eps eps)) 1/4) -1/48 (* (* eps eps) 1/6) (* (- (* (* eps eps) 1/24) 1/2) eps) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (* (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (* eps eps)) (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (/ (neg (sin x)) eps) (neg (sin x)))
6.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* (* x x) eps) (* x x) eps 1/24 (* -1/2 eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (* (+ (* 1/4 eps) (* 1/6 x)) x) (+ (* 1/4 eps) (* 1/6 x)) 1/4 (* 1/6 x) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) (+ (* -1/36 (* eps eps)) 1/6) -1/36 (* eps eps) (* (+ (* -1/48 (* eps eps)) 1/4) eps) (+ (* -1/48 (* eps eps)) 1/4) -1/48 (* (* eps eps) 1/6) (* (- (* (* eps eps) 1/24) 1/2) eps) (- (* (* eps eps) 1/24) 1/2) (* (* eps eps) 1/24) 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (* (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (* eps eps)) (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (/ (neg (sin x)) eps) (neg (sin x)))

rewrite202.0ms (2.5%)

Memory

23.3MiB live, 151.6MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1081	8693
0	1155	8479
1	6706	8479
0	8201	8137

Stop Event

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

Counts

293 → 496

Calls

Call 1

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

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

eval71.0ms (0.9%)

Memory: 23.1MiB live, 79.9MiB allocated; 12ms collecting garbage
Compiler: Compiled 9 403 to 3 723 computations (60.4% saved)

prune34.0ms (0.4%)

Memory

-6.3MiB live, 38.7MiB allocated; 8ms collecting garbage

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	462	14	476
Fresh	5	15	20
Picked	2	3	5
Done	0	3	3
Total	469	35	504

Accuracy

100.0%

Counts

504 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.1%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
	46.1%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	46.0%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
✓	46.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	78.7%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	43.8%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	99.7%	#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))
▶	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 x x) eps)) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x)) eps))
✓	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.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 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64))) eps) (sin.f64 x)) eps))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #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))) eps) (sin.f64 x)) eps))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	75.5%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(approx (+ (* -1/48 (* eps eps)) 1/4) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x) eps) #s(literal 1/2 binary64))) eps (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) eps))
✓	97.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (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))
▶	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	45.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	97.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -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) eps (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x))) eps))
▶	96.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))) eps))
✓	45.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
	97.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (fma.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 1/6 binary64)) #s(literal 1 binary64)) x)))) eps))
	45.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))) eps))
	43.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))) eps))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
✓	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (.f64 eps eps))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (sin.f64 x)) eps)) (*.f64 eps eps))))
▶	97.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) eps)) (.f64 eps eps))))
	95.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 #s(approx (+ ( -1/2 (cos x)) (/ (neg (sin x)) eps)) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64))) (*.f64 eps eps))))
	96.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 #s(approx (+ ( -1/2 (cos x)) (/ (neg (sin x)) eps)) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/4 binary64)) x) (/.f64 #s(literal 1 binary64) eps)) x) #s(literal 1/2 binary64))) (*.f64 eps eps))))

Compiler

Compiled 1 645 to 1 534 computations (6.7% saved)

series38.0ms (0.5%)

Memory

-4.6MiB live, 40.9MiB allocated; 6ms collecting garbage

Counts

58 → 194

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2)))))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x)))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/48 (* (pow eps 2) x)) (* 1/6 eps))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* -1/48 (* eps (pow x 2))) (* 1/24 eps))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/576 (* eps (pow x 2))))))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* (pow x 2) (+ (* -1/17280 (* eps (pow x 2))) (* 1/576 eps))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
#s(approx (- (* (* x x) 1/24) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* x x) 1/24) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (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 (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(hole binary64 -1))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(hole binary64 (- (* 1/4 (* eps x)) 1)))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(hole binary64 (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))
#s(approx (- (* (* x x) 1/6) 1) #s(hole binary64 (- (* 1/6 (pow x 2)) 1)))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) #s(hole binary64 (- (* -1 (/ x eps)) 1/2)))
#s(approx (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) #s(hole binary64 (- (* x (- (* 1/4 x) (/ 1 eps))) 1/2)))
#s(approx (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) #s(hole binary64 (- (* x (- (* x (+ 1/4 (* 1/6 (/ x eps)))) (/ 1 eps))) 1/2)))
#s(approx (/ (neg (sin x)) eps) #s(hole binary64 (* -1 (/ x eps))))
#s(approx (/ (neg (sin x)) eps) #s(hole binary64 (* x (- (* 1/6 (/ (pow x 2) eps)) (/ 1 eps)))))
#s(approx (/ (neg (sin x)) eps) #s(hole binary64 (* x (- (* (pow x 2) (+ (* -1/120 (/ (pow x 2) eps)) (* 1/6 (/ 1 eps)))) (/ 1 eps)))))
#s(approx (/ (neg (sin x)) eps) #s(hole binary64 (* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/5040 (/ (pow x 2) eps)) (* 1/120 (/ 1 eps)))) (* 1/6 (/ 1 eps)))) (/ 1 eps)))))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* 1/6 (pow x 2)) 1))))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* -1/2 (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 (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow x 2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (* 1/24 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* 1/24 (* eps (pow x 4)))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/24 eps) (/ eps (pow x 4)))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* 1/24 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))))
#s(approx (- (* (* x x) 1/24) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* x (- (* -1/2 (/ eps x)) 1))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/4 (/ eps x))))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (+ (* -1/2 (/ eps (pow x 3))) (* 1/4 (/ eps x)))) (/ 1 (pow x 2))))))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/4 (/ eps x))))))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(hole binary64 (* (pow x 2) (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))))
#s(approx (- (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))))
#s(approx (* (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) #s(hole binary64 (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))
#s(approx (/ (neg (sin x)) eps) #s(hole binary64 (* -1 (/ (sin x) eps))))
#s(approx (neg (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1/5040 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* -1/5040 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* -1/5040 (pow x 4))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* -1/5040 (pow x 2))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ eps x)))))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1/4 (/ eps x)) 1/6)))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/4 eps) (/ 1 x)) x)) 1/6)))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (/ eps x))) x)) (* 1/4 eps)) x)) 1/6)))))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1 (/ (+ (* -1/4 eps) (/ 1 x)) x))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#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 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (- (* -1/2 eps) x)))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(hole binary64 (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1)))
#s(approx (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) #s(hole binary64 (/ (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))) eps)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) 1/2))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(hole binary64 (* 1/4 (* eps x))))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(hole binary64 (* eps (- (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)) (/ 1 eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* -1 (* eps (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* -1/24 (pow x 2)))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* -1 (* eps (+ 1/2 (/ x eps))))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* -1/4 (pow x 2)))))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2))))))))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (- (* 1/6 (pow x 2)) 1) eps)) (* -1/4 x))))))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* (- (* (* x x) 1/24) 1/2) eps) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (* x x) 1/24 1/2 eps (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* -1/2 eps) (neg x)) (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (- (* (* x x) 1/6) 1) (* (* x x) 1/6) 1 (* -1/2 eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (* (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (* eps eps)) (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (cos x) (/ (neg (sin x)) eps) (neg (sin x)) (* eps eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120)
6.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* (- (* (* x x) 1/24) 1/2) eps) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (* x x) 1/24 1/2 eps (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* -1/2 eps) (neg x)) (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (- (* (* x x) 1/6) 1) (* (* x x) 1/6) 1 (* -1/2 eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (* (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (* eps eps)) (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (cos x) (/ (neg (sin x)) eps) (neg (sin x)) (* eps eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120)
5.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* (- (* (* x x) 1/24) 1/2) eps) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (* x x) 1/24 1/2 eps (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* -1/2 eps) (neg x)) (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (- (* (* x x) 1/6) 1) (* (* x x) 1/6) 1 (* -1/2 eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (* (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (* eps eps)) (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (cos x) (/ (neg (sin x)) eps) (neg (sin x)) (* eps eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120)
5.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* (- (* (* x x) 1/24) 1/2) eps) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (* x x) 1/24 1/2 eps (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* -1/2 eps) (neg x)) (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (- (* (* x x) 1/6) 1) (* (* x x) 1/6) 1 (* -1/2 eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (* (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (* eps eps)) (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (cos x) (/ (neg (sin x)) eps) (neg (sin x)) (* eps eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120)
4.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (cos x) x -1/2 (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (sin x) 1/6 (* (* (cos x) eps) 1/24) (* (cos x) eps) (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* (- (* (* x x) 1/24) 1/2) eps) (- (* (* x x) 1/24) 1/2) (* (* x x) 1/24) (* x x) 1/24 1/2 eps (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* -1/2 eps) (neg x)) (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (- (* (* x x) 1/6) 1) (* (* x x) 1/6) 1 (* -1/2 eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (* (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (* eps eps)) (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (cos x) (/ (neg (sin x)) eps) (neg (sin x)) (* eps eps) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120)

rewrite300.0ms (3.7%)

Memory

-78.1MiB live, 92.6MiB allocated; 65ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	836	6362
0	904	6251
1	4950	6251
0	8036	5906

Stop Event

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

Counts

252 → 402

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 x x) eps)) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 x x) eps)) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(approx ( (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 x x) eps)) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x))
(.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(approx ( (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 x x) eps)) #s(literal 1/24 binary64))) eps)) eps)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 x x) eps)) #s(literal 1/24 binary64))) eps))
(cos.f64 x)
x
#s(literal -1/2 binary64)
(.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 x x) eps)) #s(literal 1/24 binary64))) eps)
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(approx ( (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 x x) eps)) #s(literal 1/24 binary64)))
(sin.f64 x)
#s(literal 1/6 binary64)
(.f64 #s(approx ( (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 x x) eps)) #s(literal 1/24 binary64))
#s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 x x) eps))
(fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 x x) eps)
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)
(-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(*.f64 x x)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
eps
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
(.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps)
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))
(neg.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
(.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 #s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) eps)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) eps)) (.f64 eps eps))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) eps)) (.f64 eps eps)))
(.f64 (fma.f64 #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) eps)) (.f64 eps eps))
(fma.f64 #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) eps))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 x)) eps)
(neg.f64 (sin.f64 x))
(*.f64 eps eps)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
(.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps)
(-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(*.f64 #s(literal -1/2 binary64) (cos.f64 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))
(.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)
(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))
(-.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 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* (pow eps 2) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))) (* (pow eps 2) (+ 1/4 (* -1/48 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2)))))) 1)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* eps (+ 1/4 (* -1/48 (pow eps 2)))) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* 1/6 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* eps (* x (+ 1/4 (* -1/48 (pow eps 2))))))))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* eps (+ 1/4 (* -1/48 (pow eps 2)))))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/48 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ 1/4 (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))) 1/2)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* 1/6 (* eps x)))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* -1/48 (* (pow eps 2) x)) (* 1/6 eps))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/6 eps) (* x (+ (* -1/36 (* eps x)) (* -1/48 (pow eps 2)))))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/24 eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* 1/6 x))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* -1/48 (* eps x)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 eps) (* x (+ 1/6 (* x (+ (* -1/36 x) (* -1/48 eps))))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* -1/48 (* eps (pow x 2))) (* 1/24 eps))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/576 (* eps (pow x 2))))))))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/48 eps) (* (pow x 2) (+ (* -1/17280 (* eps (pow x 2))) (* 1/576 eps))))))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
#s(approx (- (* (* x x) 1/24) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* x x) 1/24) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (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 (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(hole binary64 -1))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(hole binary64 (- (* 1/4 (* eps x)) 1)))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(hole binary64 (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))
#s(approx (- (* (* x x) 1/6) 1) #s(hole binary64 (- (* 1/6 (pow x 2)) 1)))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) #s(hole binary64 (- (* -1 (/ x eps)) 1/2)))
#s(approx (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) #s(hole binary64 (- (* x (- (* 1/4 x) (/ 1 eps))) 1/2)))
#s(approx (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) #s(hole binary64 (- (* x (- (* x (+ 1/4 (* 1/6 (/ x eps)))) (/ 1 eps))) 1/2)))
#s(approx (/ (neg (sin x)) eps) #s(hole binary64 (* -1 (/ x eps))))
#s(approx (/ (neg (sin x)) eps) #s(hole binary64 (* x (- (* 1/6 (/ (pow x 2) eps)) (/ 1 eps)))))
#s(approx (/ (neg (sin x)) eps) #s(hole binary64 (* x (- (* (pow x 2) (+ (* -1/120 (/ (pow x 2) eps)) (* 1/6 (/ 1 eps)))) (/ 1 eps)))))
#s(approx (/ (neg (sin x)) eps) #s(hole binary64 (* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/5040 (/ (pow x 2) eps)) (* 1/120 (/ 1 eps)))) (* 1/6 (/ 1 eps)))) (/ 1 eps)))))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* 1/6 (pow x 2)) 1))))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* -1/2 (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 (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow x 2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (* (cos x) eps) 1/24) #s(hole binary64 (* 1/24 (* eps (cos x)))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* 1/24 (* eps (pow x 4)))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/24 eps) (/ eps (pow x 4)))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* 1/24 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))))
#s(approx (- (* (* x x) 1/24) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* x (- (* -1/2 (/ eps x)) 1))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/4 (/ eps x))))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/6 (+ (* -1/2 (/ eps (pow x 3))) (* 1/4 (/ eps x)))) (/ 1 (pow x 2))))))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/4 (/ eps x))))))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(hole binary64 (* (pow x 2) (- (+ 1/6 (* 1/4 (/ eps x))) (/ 1 (pow x 2))))))
#s(approx (- (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))))
#s(approx (* (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) #s(hole binary64 (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))
#s(approx (/ (neg (sin x)) eps) #s(hole binary64 (* -1 (/ (sin x) eps))))
#s(approx (neg (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1/5040 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* -1/5040 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* -1/5040 (pow x 4))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* -1/5040 (pow x 2))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ eps x)))))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1/4 (/ eps x)) 1/6)))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/4 eps) (/ 1 x)) x)) 1/6)))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (/ eps x))) x)) (* 1/4 eps)) x)) 1/6)))))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1 (/ (+ (* -1/4 eps) (/ 1 x)) x))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#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 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (- (* -1/2 eps) x)))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* eps (- (* 1/4 (pow x 2)) 1/2)) (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(hole binary64 (- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1)))
#s(approx (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) #s(hole binary64 (/ (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))) eps)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (cos x)))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (cos x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (cos x)))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* eps (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) 1/2))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* eps (- (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) 1/2))))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(hole binary64 (* 1/4 (* eps x))))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(hole binary64 (* eps (- (+ (* 1/6 (/ (pow x 2) eps)) (* 1/4 x)) (/ 1 eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* -1 (* eps (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* -1/24 (pow x 2)))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* -1 (* eps (+ 1/2 (/ x eps))))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* -1/4 (pow x 2)))))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (+ (* -1 (/ (* x (- (* 1/6 (pow x 2)) 1)) eps)) (* -1/4 (pow x 2))))))))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (- (* 1/6 (pow x 2)) 1) eps)) (* -1/4 x))))))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 x x) #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 x x) #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (fma.f64 (fma.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 x x) #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 x x) #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #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 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 x x) #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 x x) #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 x x) #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #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 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 x x) #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))))
(-.f64 (.f64 (fma.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 x x) #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))
(.f64 (fma.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 x x) #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(.f64 eps (fma.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 x x) #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 x x) #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (fma.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 x x) #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 x x) #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 x x) #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 x x) #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)))))
(fma.f64 (fma.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 x x) #s(approx (+ ( (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
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#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) eps) #s(literal 1 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/36 binary64) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (.f64 eps x) #s(literal -1/36 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/48 binary64) (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal 1/24 binary64))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal -1/36 binary64) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (*.f64 #s(literal 1/24 binary64) eps))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 (fma.f64 (.f64 eps x) #s(literal -1/48 binary64) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/24 binary64) eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) x (.f64 #s(literal -1/48 binary64) eps)) x #s(literal 1/6 binary64)) x (.f64 #s(literal 1/24 binary64) eps)))
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/48 binary64) (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/48 binary64) eps)) (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/17280 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/576 binary64) eps)) (.f64 #s(literal -1/48 binary64) eps)) (.f64 x x) (*.f64 #s(literal 1/24 binary64) eps)))
#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (* (cos x) eps) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) x) x eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* x x) 1/24) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (* x x) 1/24) 1/2) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* x x) 1/24) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.f64 (.f64 eps eps) #s(literal 1/4 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (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 (neg x) (neg.f64 x))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(literal -1 binary64))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)))
#s(approx (- (* (* x x) 1/6) 1) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
#s(approx (* (* x x) 1/6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)) x) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/4 binary64)) x) (/.f64 #s(literal 1 binary64) eps)) x) #s(literal 1/2 binary64)))
#s(approx (/ (neg (sin x)) eps) (/.f64 (neg.f64 x) eps))
#s(approx (/ (neg (sin x)) eps) (/.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))
#s(approx (/ (neg (sin x)) eps) (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/120 binary64) (/.f64 (.f64 x x) eps) (/.f64 #s(literal 1/6 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)) x))
#s(approx (/ (neg (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/5040 binary64) (/.f64 (.f64 x x) eps)) (/.f64 #s(literal 1/120 binary64) eps)) (.f64 x x) (/.f64 #s(literal 1/6 binary64) eps)) (.f64 x x)) (/.f64 #s(literal 1 binary64) eps)) x))
#s(approx (neg (sin x)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
#s(approx (neg (sin x)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (neg (sin x)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/48 binary64) (.f64 #s(literal 1/4 binary64) eps)) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/1440 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/48 binary64) eps)) (.f64 #s(literal 1/4 binary64) eps)) (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* -1/2 (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 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.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 (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64))
#s(approx (+ (* -1/5040 (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (.f64 (fma.f64 eps (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (fma.f64 eps (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (fma.f64 eps (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (* (cos x) eps) 1/24) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) eps) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/24 binary64) eps (/.f64 eps (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/24 binary64)))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x)))
#s(approx (- (* (* x x) 1/24) 1/2) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
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#s(approx (+ (* -1/2 eps) (neg x)) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) (.f64 (*.f64 x x) x)))
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#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (.f64 (.f64 x x) (-.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- (* (* x x) 1/6) 1) (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (* (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (* eps eps)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (neg.f64 (/.f64 (sin.f64 x) eps))) (.f64 eps eps)))
#s(approx (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (neg.f64 (/.f64 (sin.f64 x) eps))))
#s(approx (/ (neg (sin x)) eps) (neg.f64 (/.f64 (sin.f64 x) eps)))
#s(approx (neg (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (* (* -1/2 (cos x)) eps) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))))
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#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/5040 binary64)))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))))))
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#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))
#s(approx (+ (* -1/5040 (* x x)) 1/120) (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (*.f64 x x)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (-.f64 (.f64 #s(literal -1/4 binary64) (/.f64 eps x)) #s(literal 1/6 binary64))))
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#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) eps (neg.f64 (/.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) x)) #s(literal 1/6 binary64))))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) eps (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal -6 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (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) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (neg.f64 (sin.f64 x))) eps))
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#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (fma.f64 eps (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) eps))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (+ (* -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (fma.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 1/6 binary64)) #s(literal 1 binary64)) x)))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (*.f64 eps x) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* -1/2 (cos x)) (/ (neg (sin x)) eps)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 eps eps) eps)) (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps)) #s(literal 1/24 binary64)))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 eps eps) eps)) (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))))) (.f64 (*.f64 eps eps) eps)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal 1/24 binary64)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 eps eps)))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (fma.f64 (/.f64 (cos.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (.f64 eps eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/24 binary64) (cos.f64 x))) eps))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (neg.f64 (/.f64 (sin.f64 x) eps))) eps))
#s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) eps))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (/.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps)) #s(literal 1/2 binary64)) eps))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (.f64 (.f64 eps x) #s(literal 1/4 binary64)))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 1/6 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
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#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (neg.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (.f64 (.f64 (neg.f64 eps) (*.f64 eps eps)) (fma.f64 #s(literal -1/24 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) eps)))))
#s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (.f64 (fma.f64 (cos.f64 x) #s(literal 1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps))) (*.f64 eps eps)))
#s(approx (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/6 binary64) (.f64 #s(literal -1/24 binary64) (cos.f64 x)))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (neg.f64 eps) (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))
#s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (neg.f64 eps) (+.f64 (/.f64 x eps) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (.f64 (neg.f64 eps) (+.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))) #s(literal 1/2 binary64))))
#s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/4 binary64) x (neg.f64 (/.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)))))

eval79.0ms (1%)

Memory: 0.1MiB live, 46.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 7 039 to 2 918 computations (58.5% saved)

prune39.0ms (0.5%)

Memory

5.4MiB live, 50.3MiB allocated; 3ms collecting garbage

Pruning

43 alts after pruning (35 fresh and 8 done)

	Pruned	Kept	Total
New	379	11	390
Fresh	0	24	24
Picked	3	2	5
Done	0	6	6
Total	382	43	425

Accuracy

100.0%

Counts

425 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.1%	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
	46.1%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	46.0%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
✓	46.1%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	78.7%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	43.8%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	99.7%	#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))
✓	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 x x) eps)) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 #s(approx (+ ( (sin x) 1/6) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps)) eps) (sin.f64 x)) eps))
✓	99.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.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 (*.f64 #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64))) eps) (sin.f64 x)) eps))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #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))) eps) (sin.f64 x)) eps))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (.f64 x x)) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
	75.5%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(approx (+ (* -1/48 (* eps eps)) 1/4) #s(literal 1/4 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))) eps))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (cos x) -1/2) (* (+ (* (sin x) 1/6) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/36 (* eps eps)) 1/6) x) (* (+ (* -1/48 (* eps eps)) 1/4) eps)) x) (* (* eps eps) 1/6)) 1) x) (* (- (* (* eps eps) 1/24) 1/2) eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x) eps) #s(literal 1/2 binary64))) eps (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))) eps))
✓	97.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (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))
✓	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	48.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (-.f64 (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	45.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	57.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(approx (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) #s(approx (- (* (* x x) 1/6) 1) (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
	97.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -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) eps (*.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x))) eps))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))) eps))
✓	45.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
	97.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (fma.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 1/6 binary64)) #s(literal 1 binary64)) x)))) eps))
	45.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))) eps))
	43.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* (- (* (+ (* 1/4 eps) (* 1/6 x)) x) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))) eps))
	96.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))) eps))
	96.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) eps))) eps))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
✓	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (.f64 eps eps))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (neg.f64 (sin.f64 x)) eps)) (*.f64 eps eps))))
	47.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (sin.f64 (+.f64 x (PI.f64))) eps)) (.f64 eps eps))))
	47.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps)) (.f64 eps eps))))
	97.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (neg (sin x)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.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)) (.f64 eps eps))))
	96.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(approx (neg (sin x)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 1 binary64)) x)) eps)) (.f64 eps eps))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (sin.f64 x) eps))) eps) eps)))
	95.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 #s(approx (+ ( -1/2 (cos x)) (/ (neg (sin x)) eps)) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64))) (*.f64 eps eps))))
	96.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 #s(approx (+ ( -1/2 (cos x)) (/ (neg (sin x)) eps)) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/4 binary64)) x) (/.f64 #s(literal 1 binary64) eps)) x) #s(literal 1/2 binary64))) (*.f64 eps eps))))

Compiler

Compiled 1 922 to 1 537 computations (20% saved)

regimes42.0ms (0.5%)

Memory

5.6MiB live, 51.9MiB allocated; 2ms collecting garbage

Counts

58 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

15.0ms	x
13.0ms	eps
10.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes43.0ms (0.5%)

Memory

-20.2MiB live, 34.5MiB allocated; 8ms collecting garbage

Counts

55 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

19.0ms	x
13.0ms	eps
9.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.6%	1	`x`
99.6%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes38.0ms (0.5%)

Memory

-12.7MiB live, 33.9MiB allocated; 3ms collecting garbage

Counts

53 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.5%	1	`x`
99.5%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes35.0ms (0.4%)

Memory

27.0MiB live, 27.0MiB allocated; 0ms collecting garbage

Counts

52 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.5%	1	`x`
99.5%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes40.0ms (0.5%)

Memory

-12.3MiB live, 31.4MiB allocated; 5ms collecting garbage

Counts

51 → 1

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	x
12.0ms	eps
9.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes36.0ms (0.4%)

Memory

-4.8MiB live, 40.4MiB allocated; 4ms collecting garbage

Counts

47 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.8%	1	`x`
98.8%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes29.0ms (0.4%)

Memory

37.3MiB live, 37.3MiB allocated; 0ms collecting garbage

Counts

43 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.8%	1	`x`
98.8%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes37.0ms (0.5%)

Memory

-18.2MiB live, 31.5MiB allocated; 10ms collecting garbage

Counts

39 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	eps
9.0ms	x
7.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
98.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.7%	1	`x`
98.7%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes24.0ms (0.3%)

Memory

-17.6MiB live, 28.2MiB allocated; 2ms collecting garbage

Counts

32 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	eps
8.0ms	x
7.0ms	(-.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)

regimes17.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Counts

24 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.0%	1	`x`
98.0%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes14.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes12.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes11.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.7%	1	`x`
97.7%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes58.0ms (0.7%)

Memory

-38.9MiB live, 8.4MiB allocated; 1ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

51.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
3.0ms	x
3.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes3.0ms (0%)

Memory

5.6MiB live, 5.6MiB 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 (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
45.4%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
45.4%	1	`eps`
45.4%	1	`x`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations362.0ms (4.5%)

Memory

22.3MiB live, 206.6MiB allocated; 18ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 246 to 164 computations (33.3% saved)

preprocess132.0ms (1.6%)

Memory: -32.7MiB live, 208.1MiB allocated; 38ms collecting garbage
Compiler: Compiled 280 to 195 computations (30.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze44.0ms (0.5%)

sample5.8s (72%)

preprocess37.0ms (0.5%)

series15.0ms (0.2%)

rewrite123.0ms (1.5%)

eval10.0ms (0.1%)

prune9.0ms (0.1%)

series29.0ms (0.4%)

rewrite154.0ms (1.9%)

eval45.0ms (0.6%)

prune26.0ms (0.3%)

series57.0ms (0.7%)

rewrite202.0ms (2.5%)

eval71.0ms (0.9%)

prune34.0ms (0.4%)

series38.0ms (0.5%)

rewrite300.0ms (3.7%)

eval79.0ms (1%)

prune39.0ms (0.5%)

regimes42.0ms (0.5%)

regimes43.0ms (0.5%)

regimes38.0ms (0.5%)

regimes35.0ms (0.4%)

regimes40.0ms (0.5%)

regimes36.0ms (0.4%)

regimes29.0ms (0.4%)

regimes37.0ms (0.5%)

regimes24.0ms (0.3%)

regimes17.0ms (0.2%)

regimes14.0ms (0.2%)

regimes12.0ms (0.2%)

regimes11.0ms (0.1%)

regimes58.0ms (0.7%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

derivations362.0ms (4.5%)

preprocess132.0ms (1.6%)

end0.0ms (0%)

Profiling