Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

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

analyze33.0ms (0.4%)

Memory

12.8MiB live, 54.1MiB allocated; 6ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample7.2s (77%)

Memory

200.9MiB live, 6 200.1MiB allocated; 2.6s collecting garbage

Samples

2.9s	26 421×	0	invalid
2.6s	5 820×	2	valid
400.0ms	2 395×	1	valid
10.0ms	41×	0	valid

Precisions

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

ival-cos: 2.2s (51.9% of total)

ival-fabs: 663.0ms (15.8% of total)

adjust: 489.0ms (11.7% of total)

ival-add!: 342.0ms (8.2% of total)

ival-mult!: 188.0ms (4.5% of total)

ival-<: 130.0ms (3.1% of total)

ival-sub!: 129.0ms (3.1% of total)

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

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

Bogosity

preprocess32.0ms (0.3%)

Memory

31.3MiB live, 31.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	143	42
2	1832	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms 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
1.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))

rewrite218.0ms (2.3%)

Memory

-4.9MiB live, 93.7MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	529
0	150	509
1	1026	506
0	8369	483
1	28085	483

Stop Event

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

Counts

39 → 95

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

eval13.0ms (0.1%)

Memory: -36.3MiB live, 9.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 730 to 343 computations (53% saved)

prune5.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	78	7	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	7	86

Accuracy

99.8%

Counts

86 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
▶	52.8%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	79.8%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
▶	52.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
▶	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
▶	81.6%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Compiler

Compiled 182 to 176 computations (3.3% saved)

series20.0ms (0.2%)

Memory

25.8MiB live, 25.8MiB allocated; 0ms collecting garbage

Counts

31 → 101

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.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 (.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 (fma.f64 (.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 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(sin.f64 x)
x
#s(literal 1/6 binary64)
eps
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(neg.f64 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))))
(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 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 1/24 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 (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* 1/4 eps))))))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 -1/2))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/36 (* eps x)))))) 1/2)))
#s(approx (* (sin x) 1/6) #s(hole binary64 (* 1/6 x)))
#s(approx (* (sin x) 1/6) #s(hole binary64 (* x (+ 1/6 (* -1/36 (pow x 2))))))
#s(approx (* (sin x) 1/6) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/36))))))
#s(approx (* (sin x) 1/6) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2)))) 1/36))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (sin x) 1/6) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin 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 (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (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 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -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 (neg eps) #s(hole binary64 (* -1 eps)))
#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 (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (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 (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

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

rewrite282.0ms (3%)

Memory

-19.5MiB live, 163.7MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	459	2360
0	499	2312
1	3050	2312
0	9573	2212
1	30975	2212

Stop Event

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

Counts

132 → 245

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.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 (.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 (fma.f64 (.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 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(sin.f64 x)
x
#s(literal 1/6 binary64)
eps
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(neg.f64 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))))
(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 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 1/24 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 (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* 1/4 eps))))))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 -1/2))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/36 (* eps x)))))) 1/2)))
#s(approx (* (sin x) 1/6) #s(hole binary64 (* 1/6 x)))
#s(approx (* (sin x) 1/6) #s(hole binary64 (* x (+ 1/6 (* -1/36 (pow x 2))))))
#s(approx (* (sin x) 1/6) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/36))))))
#s(approx (* (sin x) 1/6) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2)))) 1/36))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (sin x) 1/6) #s(hole binary64 (* 1/6 (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin 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 (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (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 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -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 (neg eps) #s(hole binary64 (* -1 eps)))
#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 (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (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 (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.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 (.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 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
(neg.f64 (-.f64 (sin.f64 x) (.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)))
(fma.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x)))
(fma.f64 eps (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))
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(.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(.f64 eps (fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (sin.f64 x) (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps))
(fma.f64 eps (.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(-.f64 (.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps) (neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(-.f64 (.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps))
(+.f64 (.f64 (.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (sin.f64 x))
(sin.f64 x)
x
#s(literal 1/6 binary64)
eps
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fabs.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 (fabs.f64 x)))
(cos.f64 (fabs.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 (fabs.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)))
(neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 eps)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(sin.f64 (+.f64 (fabs.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (fabs.f64 eps)))
(cos.f64 (fabs.f64 (fabs.f64 eps)))
(cos.f64 (neg.f64 (neg.f64 eps)))
(cos.f64 (fabs.f64 eps))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
(+.f64 (.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(.f64 (.f64 (sin.f64 x) eps) #s(literal -1 binary64))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(.f64 #s(literal -1 binary64) (.f64 (sin.f64 x) eps))
(neg.f64 (*.f64 (sin.f64 x) eps))
(*.f64 #s(literal -1 binary64) eps)
(*.f64 eps #s(literal -1 binary64))
(neg.f64 eps)
(neg.f64 (-.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 (+.f64 eps x))))
(-.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(sin.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 (.f64 #s(literal 1 binary64) x))) (.f64 (sin.f64 eps) (sin.f64 (.f64 #s(literal 1 binary64) x))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 (.f64 #s(literal 1 binary64) eps))) (.f64 (sin.f64 x) (sin.f64 (.f64 #s(literal 1 binary64) eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 (neg.f64 (neg.f64 eps)))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 (neg.f64 (neg.f64 x)))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 eps x))))
(cos.f64 (neg.f64 (fabs.f64 (+.f64 eps x))))
(cos.f64 (fabs.f64 (fabs.f64 (+.f64 eps x))))
(cos.f64 (-.f64 (neg.f64 eps) x))
(cos.f64 (-.f64 (neg.f64 x) eps))
(cos.f64 (neg.f64 (+.f64 eps x)))
(cos.f64 (fabs.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 x) (cos.f64 eps)) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(neg.f64 (-.f64 (neg.f64 eps) x))
(neg.f64 (-.f64 (neg.f64 x) eps))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 eps (*.f64 #s(literal 1 binary64) x))
(+.f64 eps (neg.f64 (neg.f64 x)))
(+.f64 eps x)
(+.f64 x (*.f64 #s(literal 1 binary64) eps))
(+.f64 x (neg.f64 (neg.f64 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))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(neg.f64 (-.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) (cos.f64 (+.f64 eps x))))
(-.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
(+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x)))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(literal 1/24 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 x (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (fma.f64 x (-.f64 (.f64 (+.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x) eps (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) (.f64 eps eps)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(literal -1/2 binary64))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64)))
#s(approx (* (sin x) 1/6) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* (sin x) 1/6) (.f64 (fma.f64 (.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) x))
#s(approx (* (sin x) 1/6) (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (* (sin x) 1/6) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/36 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* -1/2 (cos x)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
#s(approx (* -1/2 (cos x)) (fma.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (* -1/2 (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (.f64 x x) #s(literal -1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (*.f64 #s(literal 1/6 binary64) eps)) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)))
#s(approx (cos (+ x eps)) (fma.f64 x (-.f64 (.f64 (.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (cos (+ x eps)) (fma.f64 x (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) x) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* 1/24 (* x x)) -1/2) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (* (sin x) 1/6) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#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 (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/24 (* x x)) -1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (+ (* 1/24 (* x x)) -1/2) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (- (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 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (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 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)) eps) (sin.f64 x)) eps))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (- (cos eps) 1) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 eps eps) #s(literal -1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps)))
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (neg eps) (neg.f64 eps))
#s(approx (cos (+ x eps)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x)))
#s(approx (cos (+ x eps)) (fma.f64 eps (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) (cos.f64 x)))
#s(approx (cos (+ x eps)) (fma.f64 eps (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (sin.f64 x)) #s(literal 1/6 binary64)))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 (.f64 eps eps) eps)))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 eps eps)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (.f64 (*.f64 eps eps) eps)))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) (sin.f64 x)))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 eps eps)))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 eps eps)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (neg.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64))) (.f64 (.f64 eps eps) eps))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (neg.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64)))))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))

eval31.0ms (0.3%)

Memory: 0.6MiB live, 46.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 654 to 1 163 computations (56.2% saved)

prune11.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	266	10	276
Fresh	1	1	2
Picked	4	1	5
Done	0	0	0
Total	271	12	283

Accuracy

100.0%

Counts

283 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
	79.8%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
▶	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64))) eps) (sin.f64 x)) eps))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
	81.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
▶	81.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
▶	81.2%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
▶	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
▶	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	81.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))

Compiler

Compiled 506 to 477 computations (5.7% saved)

series32.0ms (0.3%)

Memory

24.1MiB live, 24.1MiB allocated; 0ms collecting garbage

Counts

43 → 126

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite346.0ms (3.7%)

Memory

-29.0MiB live, 160.5MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	555	3646
0	594	3469
1	3613	3469
0	10679	3290
1	36238	3290

Stop Event

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

Counts

169 → 300

Calls

Call 1

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

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

eval30.0ms (0.3%)

Memory: 28.5MiB live, 28.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 308 to 1 660 computations (49.8% saved)

prune84.0ms (0.9%)

Memory

-71.2MiB live, 20.0MiB allocated; 61ms collecting garbage

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	274	6	280
Fresh	2	4	6
Picked	4	1	5
Done	0	1	1
Total	280	12	292

Accuracy

100.0%

Counts

292 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
	79.8%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
▶	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64))) eps) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
	81.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
✓	81.2%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
▶	46.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 1/6 binary64)) (.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
▶	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps (neg.f64 x)))) eps))
	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (* (+ (* (* eps eps) 1/6) -1) x) (neg.f64 x)) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) eps (neg.f64 x)) eps))))
▶	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))))
▶	81.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))

Compiler

Compiled 629 to 588 computations (6.5% saved)

series47.0ms (0.5%)

Memory

8.4MiB live, 56.9MiB allocated; 8ms collecting garbage

Counts

53 → 190

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* 1/4 eps))))))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 -1/2))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/36 (* eps x)))))) 1/2)))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* 1/6 eps)))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (+ (* 1/6 eps) (* 1/4 x))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* -1/2 eps) (neg x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (- (* 1/6 (* eps (pow x 2))) eps)))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (+ (* (* x x) 1/4) -1/2) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
#s(approx (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) #s(hole binary64 (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))))
#s(approx (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) #s(hole binary64 (+ (* 1/4 (* eps x)) (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (- 1/6 (/ 1 (pow eps 2)))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (- (+ 1/6 (* 1/4 (/ x eps))) (/ 1 (pow eps 2)))))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) #s(hole binary64 (/ -1 (pow eps 2))))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) #s(hole binary64 (- (* 1/4 (/ x eps)) (/ 1 (pow eps 2)))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (/ 1 (pow eps 2))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (+ (* -1/4 (/ x eps)) (/ 1 (pow eps 2)))))
#s(approx (+ (* -1/4 x) (/ 1 eps)) #s(hole binary64 (/ 1 eps)))
#s(approx (+ (* -1/4 x) (/ 1 eps)) #s(hole binary64 (+ (* -1/4 x) (/ 1 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* 1/6 (/ eps x))))))
#s(approx (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) #s(hole binary64 (* (pow x 2) (- (+ 1/4 (* 1/6 (/ eps x))) (/ 1/2 (pow x 2))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* 1/4 x)))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* x (+ 1/4 (* 1/6 (/ eps x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (+ (* -1/2 eps) (neg x)) eps) #s(hole binary64 (* x (+ (* -1 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* x (- (* -1/2 (/ eps x)) 1))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* 1/6 (* eps (pow x 3)))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* 1/6 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* 1/4 (* eps (pow x 2)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps)) (/ 1 x)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps))) (/ 1 x)))))
#s(approx (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) #s(hole binary64 (* (pow x 2) (- (* 1/4 eps) (/ 1 x)))))
#s(approx (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ 1 x)))))
#s(approx (+ (* (* x x) 1/4) -1/2) #s(hole binary64 (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* 1/4 (* eps x))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* x (- (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps)) (/ 1 x)))))
#s(approx (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) #s(hole binary64 (* x (+ (* 1/4 eps) (/ (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2)))) x)))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (* 1/4 (/ x eps))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (* x (- (+ (* 1/4 (/ 1 eps)) (* 1/6 (/ 1 x))) (/ 1 (* (pow eps 2) x))))))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) #s(hole binary64 (* x (- (* 1/4 (/ 1 eps)) (/ 1 (* (pow eps 2) x))))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (* -1/4 (/ x eps))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (* x (- (/ 1 (* (pow eps 2) x)) (* 1/4 (/ 1 eps))))))
#s(approx (+ (* -1/4 x) (/ 1 eps)) #s(hole binary64 (* -1/4 x)))
#s(approx (+ (* -1/4 x) (/ 1 eps)) #s(hole binary64 (* x (- (/ 1 (* eps x)) 1/4))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/6 eps) (* 1/2 (/ 1 x))) x))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* -1 (* x (- (* -1/6 (/ eps x)) 1/4)))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/2 (/ (pow eps 2) x)))))))
#s(approx (* (+ (* -1/2 eps) (neg x)) eps) #s(hole binary64 (* -1 (* x (+ eps (* 1/2 (/ (pow eps 2) x)))))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ eps x)))))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2)))))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x))) x)) (* 1/4 eps)))))
#s(approx (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ eps x))) x)) (* 1/4 eps)))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* 1/6 (pow eps 2)) 1) x)) (* -1/4 eps))))))
#s(approx (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2)))) x)) (* -1/4 eps))))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/6 (/ 1 (pow eps 2))) x)) (* 1/4 (/ 1 eps)))))))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) #s(hole binary64 (* -1 (* x (- (/ 1 (* (pow eps 2) x)) (* 1/4 (/ 1 eps)))))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (* -1 (* x (- (* 1/4 (/ 1 eps)) (/ 1 (* (pow eps 2) x)))))))
#s(approx (+ (* -1/4 x) (/ 1 eps)) #s(hole binary64 (* -1 (* x (- 1/4 (/ 1 (* eps 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)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) #s(hole binary64 (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* -1 x) (* -1/2 eps)))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (- (* -1/2 eps) x)))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* eps (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* eps (- (* 1/6 (pow x 2)) 1))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2)))))
#s(approx (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) #s(hole binary64 (- (* eps (- (* 1/4 (pow x 2)) 1/2)) x)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 -1))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* 1/4 (* eps x)) 1)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* eps (+ (* 1/6 eps) (* 1/4 x))) 1)))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (/ (- (* 1/4 (* eps x)) 1) (pow eps 2))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (/ (- (* eps (- (* 1/6 eps) (* -1/4 x))) 1) (pow eps 2))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (/ (+ 1 (* -1/4 (* eps x))) (pow eps 2))))
#s(approx (+ (* -1/4 x) (/ 1 eps)) #s(hole binary64 (/ (+ 1 (* -1/4 (* eps x))) eps)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) #s(hole binary64 (* 1/6 (* eps x))))
#s(approx (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) #s(hole binary64 (* eps (- (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* eps (+ 1/6 (* 1/4 (/ x eps))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* 1/6 (* (pow eps 3) x))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 3) (- (* 1/6 x) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))))
#s(approx (* (+ (* -1/2 eps) (neg x)) eps) #s(hole binary64 (* (pow eps 2) (- (* -1 (/ x eps)) 1/2))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) 1/2))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* 1/6 (* (pow eps 2) x))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps)))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) #s(hole binary64 (* eps (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) #s(hole binary64 (* eps (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* 1/4 (/ x eps))))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (+ 1/6 (* 1/4 (/ x eps))) (/ 1 (pow eps 2))))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (+ 1/6 (* 1/4 (/ x eps)))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (+ 1/6 (* -1 (/ (+ (* -1/4 x) (/ 1 eps)) eps)))))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) #s(hole binary64 (* -1 (/ (+ (* -1/4 x) (/ 1 eps)) eps))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (/ (+ (* -1/4 x) (/ 1 eps)) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (- (* 1/4 (pow x 2)) 1/2) eps)) (* -1/6 x))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* -1 (* eps (- (* -1/4 (/ x eps)) 1/6)))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* -1 (* eps (+ 1/2 (/ x eps))))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* -1 (* eps (* x (+ 1 (* -1/6 (pow x 2))))))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* -1 (* eps (+ 1 (* -1/6 (pow x 2)))))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) eps)) (* 1/6 x)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (+ (* -1/4 (pow x 2)) (/ x eps))) eps)) (* 1/6 x)))))
#s(approx (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (- (* 1/4 (pow x 2)) 1/2)) (/ x eps))))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* -1 (/ (+ (* -1/4 x) (/ 1 eps)) eps))))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (+ 1/6 (* -1 (/ (- (/ 1 eps) (* 1/4 x)) eps)))))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) #s(hole binary64 (* -1 (/ (- (/ 1 eps) (* 1/4 x)) eps))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (* -1 (/ (- (* 1/4 x) (/ 1 eps)) eps))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) (+ (* 1/4 x) (* 1/6 eps)) 1/4 x (* 1/6 eps) 1/6 eps -1/2 (sin x) (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (+ (* 1/120 (* x x)) -1/6) 1/120 (* x x) -1/6 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (* (+ (* -1/2 eps) (neg x)) eps) (+ (* -1/2 eps) (neg x)) (neg x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (+ (* (* (* x x) eps) 1/6) (neg eps)) (* (* x x) eps) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) (+ (* (* x x) 1/4) -1/2) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) (/ (+ (* -1/4 x) (/ 1 eps)) eps) (+ (* -1/4 x) (/ 1 eps)) -1/4 (/ 1 eps) (* eps eps) (* -1/2 eps))
10.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) (+ (* 1/4 x) (* 1/6 eps)) 1/4 x (* 1/6 eps) 1/6 eps -1/2 (sin x) (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (+ (* 1/120 (* x x)) -1/6) 1/120 (* x x) -1/6 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (* (+ (* -1/2 eps) (neg x)) eps) (+ (* -1/2 eps) (neg x)) (neg x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (+ (* (* (* x x) eps) 1/6) (neg eps)) (* (* x x) eps) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) (+ (* (* x x) 1/4) -1/2) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) (/ (+ (* -1/4 x) (/ 1 eps)) eps) (+ (* -1/4 x) (/ 1 eps)) -1/4 (/ 1 eps) (* eps eps) (* -1/2 eps))
6.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) (+ (* 1/4 x) (* 1/6 eps)) 1/4 x (* 1/6 eps) 1/6 eps -1/2 (sin x) (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (+ (* 1/120 (* x x)) -1/6) 1/120 (* x x) -1/6 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (* (+ (* -1/2 eps) (neg x)) eps) (+ (* -1/2 eps) (neg x)) (neg x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (+ (* (* (* x x) eps) 1/6) (neg eps)) (* (* x x) eps) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) (+ (* (* x x) 1/4) -1/2) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) (/ (+ (* -1/4 x) (/ 1 eps)) eps) (+ (* -1/4 x) (/ 1 eps)) -1/4 (/ 1 eps) (* eps eps) (* -1/2 eps))
6.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) (+ (* 1/4 x) (* 1/6 eps)) 1/4 x (* 1/6 eps) 1/6 eps -1/2 (sin x) (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (+ (* 1/120 (* x x)) -1/6) 1/120 (* x x) -1/6 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (* (+ (* -1/2 eps) (neg x)) eps) (+ (* -1/2 eps) (neg x)) (neg x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (+ (* (* (* x x) eps) 1/6) (neg eps)) (* (* x x) eps) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) (+ (* (* x x) 1/4) -1/2) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) (/ (+ (* -1/4 x) (/ 1 eps)) eps) (+ (* -1/4 x) (/ 1 eps)) -1/4 (/ 1 eps) (* eps eps) (* -1/2 eps))
6.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) (+ (* 1/4 x) (* 1/6 eps)) 1/4 x (* 1/6 eps) 1/6 eps -1/2 (sin x) (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (+ (* 1/120 (* x x)) -1/6) 1/120 (* x x) -1/6 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (* (+ (* -1/2 eps) (neg x)) eps) (+ (* -1/2 eps) (neg x)) (neg x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (+ (* (* (* x x) eps) 1/6) (neg eps)) (* (* x x) eps) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) (+ (* (* x x) 1/4) -1/2) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) (/ (+ (* -1/4 x) (/ 1 eps)) eps) (+ (* -1/4 x) (/ 1 eps)) -1/4 (/ 1 eps) (* eps eps) (* -1/2 eps))

rewrite209.0ms (2.3%)

Memory

-2.3MiB live, 139.2MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	761	5544
0	816	5241
1	4763	5241
0	8329	4986
1	25333	4986

Stop Event

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

Counts

243 → 420

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64))) eps) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
(.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64))) eps) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps)
(.f64 eps (-.f64 (.f64 #s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64))) eps) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
(neg.f64 (-.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (.f64 #s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64))) eps)))
(fma.f64 #s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64))) eps (neg.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
(fma.f64 eps #s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64))) (neg.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
(-.f64 (.f64 #s(approx (+ ( (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64))) eps) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(+.f64 (.f64 #s(approx (+ ( (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64))) eps) (neg.f64 #s(approx (sin x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
(.f64 #s(approx (+ ( (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64))) eps)
(.f64 eps #s(approx (+ ( (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64))))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64)))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x)))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) #s(literal -1/2 binary64))
(-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))
(+.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x))
(neg.f64 (-.f64 (.f64 #s(literal -1/4 binary64) x) (.f64 #s(literal 1/6 binary64) eps)))
(fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps))
(fma.f64 #s(literal 1/6 binary64) eps (neg.f64 (*.f64 #s(literal -1/4 binary64) x)))
(fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal 1/4 binary64) x))
(fma.f64 eps #s(literal 1/6 binary64) (neg.f64 (*.f64 #s(literal -1/4 binary64) x)))
(fma.f64 eps #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) x))
(fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) eps))
(-.f64 (.f64 #s(literal 1/4 binary64) x) (neg.f64 (.f64 #s(literal 1/6 binary64) eps)))
(-.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 #s(literal -1/6 binary64) eps))
(-.f64 (.f64 #s(literal 1/6 binary64) eps) (neg.f64 (.f64 #s(literal 1/4 binary64) x)))
(-.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal -1/4 binary64) x))
(+.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 #s(literal 1/6 binary64) eps))
(+.f64 (.f64 #s(literal 1/6 binary64) eps) (neg.f64 (.f64 #s(literal -1/4 binary64) x)))
(+.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal 1/4 binary64) x))
#s(literal 1/4 binary64)
x
(*.f64 #s(literal 1/6 binary64) eps)
(*.f64 eps #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
eps
#s(literal -1/2 binary64)
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) x))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) x))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x))
(neg.f64 (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(literal 1/120 binary64)
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) eps))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) eps)))
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) eps))
(.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) eps)
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) eps) x))
(fma.f64 (neg.f64 x) eps (.f64 (.f64 #s(literal -1/2 binary64) eps) eps))
(fma.f64 eps (neg.f64 x) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(+.f64 (.f64 (neg.f64 x) eps) (.f64 (*.f64 #s(literal -1/2 binary64) eps) eps))
(+.f64 (.f64 eps (neg.f64 x)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(neg.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))
(fma.f64 eps #s(literal -1/2 binary64) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) eps))
(-.f64 (*.f64 #s(literal -1/2 binary64) eps) (neg.f64 (neg.f64 x)))
(-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)
(-.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) eps))
(-.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (-.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) eps) x)))
#s(approx (* (neg eps) (sin x)) (.f64 (-.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) eps) x))
(.f64 (-.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) eps) x)
(.f64 x (-.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) eps))
(fma.f64 (.f64 eps x) #s(literal -1 binary64) (.f64 (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64)) x))
(fma.f64 (neg.f64 eps) x (.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) x))
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#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(literal -1/2 binary64))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (*.f64 eps x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64)))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) (*.f64 #s(literal 1/6 binary64) eps))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)))
#s(approx x x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 (.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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* 1/120 (* x x)) -1/6) #s(literal -1/6 binary64))
#s(approx (+ (* 1/120 (* x x)) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* -1/2 eps) (neg x)) eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) (.f64 (neg.f64 eps) x)))
#s(approx (+ (* -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x))
#s(approx (* (neg eps) (sin x)) (.f64 (-.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) eps) x))
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#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) x))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) (neg.f64 eps))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) (-.f64 (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64)) eps))
#s(approx (* (* x x) eps) (.f64 (.f64 x x) eps))
#s(approx (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)) x (.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* (* x x) 1/4) -1/2) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (fma.f64 (*.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)))
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#s(approx (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (*.f64 eps eps)))
#s(approx (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) (fma.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/4 binary64))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) (-.f64 (.f64 (/.f64 x eps) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 eps eps))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) (fma.f64 (/.f64 x eps) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
#s(approx (+ (* -1/4 x) (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps))
#s(approx (+ (* -1/4 x) (/ 1 eps)) (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
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#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) (.f64 (fma.f64 (/.f64 eps x) #s(literal 1/6 binary64) #s(literal 1/4 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) (.f64 (.f64 x x) (-.f64 (fma.f64 (/.f64 eps x) #s(literal 1/6 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) (*.f64 #s(literal 1/4 binary64) x))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/6 binary64) #s(literal 1/4 binary64)) x))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))))
#s(approx (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/120 (* x x)) -1/6) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(approx (+ (* 1/120 (* x x)) -1/6) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) x) eps))
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) x))
#s(approx (* (+ (* -1/2 eps) (neg x)) eps) (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) (neg.f64 eps)) x))
#s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (.f64 (.f64 (.f64 (.f64 x x) x) eps) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (neg.f64 eps) (.f64 x x))) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (neg.f64 eps) (.f64 x x))) (*.f64 x x)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x)) (.f64 x x)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (-.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x)))
#s(approx (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
#s(approx (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) x))) (.f64 x x)))
#s(approx (+ (* (* x x) 1/4) -1/2) (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (.f64 eps x) #s(literal 1/4 binary64)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) (.f64 (fma.f64 (.f64 eps eps) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) x) (.f64 #s(literal 1/4 binary64) eps)) x))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (*.f64 (/.f64 x eps) #s(literal 1/4 binary64)))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) eps) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) x)) x))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) x))) x))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) (*.f64 (/.f64 x eps) #s(literal -1/4 binary64)))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) x)) (/.f64 #s(literal 1/4 binary64) eps)) x))
#s(approx (+ (* -1/4 x) (/ 1 eps)) (*.f64 #s(literal -1/4 binary64) x))
#s(approx (+ (* -1/4 x) (/ 1 eps)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps x)) #s(literal 1/4 binary64)) x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) eps (/.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 1/4 binary64)) (.f64 x x)))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -1/6 binary64) #s(literal -1/4 binary64))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* 1/120 (* x x)) -1/6) (* x x)) 1) x) (neg.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal -4 binary64))))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/2 binary64) (.f64 (neg.f64 eps) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64))))))
#s(approx (* (+ (* -1/2 eps) (neg x)) eps) (.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/2 binary64) eps)))
#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 (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (.f64 (.f64 (.f64 x x) (neg.f64 x)) (fma.f64 #s(literal -1/6 binary64) eps (/.f64 eps (.f64 x x)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (fma.f64 #s(literal 1/4 binary64) eps (neg.f64 (/.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)))) x))) (*.f64 x x)))
#s(approx (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) (.f64 (.f64 x x) (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)))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/4 binary64) eps (/.f64 (neg.f64 (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64))) x))))
#s(approx (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/4 binary64) eps (neg.f64 (.f64 (.f64 eps eps) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) x))))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) x)) (/.f64 #s(literal 1/4 binary64) eps))))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) (.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) x)) (/.f64 #s(literal 1/4 binary64) eps))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) (.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/4 binary64) eps) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) x)))))
#s(approx (+ (* -1/4 x) (/ 1 eps)) (.f64 (neg.f64 x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps x)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64))))
#s(approx eps eps)
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) eps))
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) eps (neg.f64 x)) eps))
#s(approx (+ (* -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) x) eps))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps) x))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) eps (neg.f64 x)))
#s(approx (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps) x))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(literal -1 binary64))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (fma.f64 (*.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) eps #s(literal -1 binary64)))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x #s(literal -1 binary64)) (.f64 eps eps)))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) eps #s(literal -1 binary64)) (.f64 eps eps)))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) eps) x #s(literal 1 binary64)) (.f64 eps eps)))
#s(approx (+ (* -1/4 x) (/ 1 eps)) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) eps) x #s(literal 1 binary64)) eps))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (sin.f64 x)) #s(literal 1/6 binary64)))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 (.f64 eps eps) eps)))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 eps eps)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (.f64 (*.f64 eps eps) eps)))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) (sin.f64 x)))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 eps eps)))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 eps eps)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))
#s(approx (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) (.f64 (.f64 eps x) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps)) eps))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) eps))
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (neg.f64 x) (.f64 eps eps))) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 eps eps) eps)))
#s(approx (* (+ (* -1/2 eps) (neg x)) eps) (.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) (.f64 eps eps)))
#s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) eps))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/6 binary64)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps)) (*.f64 eps eps)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (+.f64 (/.f64 (neg.f64 x) (.f64 eps eps)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps))) (.f64 eps eps)))
#s(approx (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps))
#s(approx (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (/.f64 (neg.f64 x) eps)) #s(literal 1/2 binary64)) eps))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (fma.f64 (/.f64 x eps) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) (.f64 eps eps)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (.f64 eps eps) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (fma.f64 (/.f64 x eps) #s(literal 1/4 binary64) #s(literal 1/6 binary64)))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)) eps) #s(literal -1/6 binary64)))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)) eps))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) (/.f64 (fma.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 eps x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (neg.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64))) (.f64 (.f64 eps eps) eps))))
#s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (neg.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64)))))
#s(approx (+ (* (+ (* 1/4 x) (* 1/6 eps)) x) -1/2) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/6 binary64) x (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps)))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -1/4 binary64) #s(literal -1/6 binary64))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (.f64 (.f64 (*.f64 eps eps) (neg.f64 eps)) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (.f64 (.f64 (*.f64 eps eps) (neg.f64 eps)) (fma.f64 #s(literal -1/6 binary64) x (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) eps)))))
#s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (neg.f64 eps) (+.f64 (/.f64 x eps) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (.f64 (neg.f64 eps) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) (.f64 (neg.f64 eps) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) x (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps))) (*.f64 eps eps)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) x (neg.f64 (/.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)) eps))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (* x x) 1/4) -1/2) eps) (neg x)) (.f64 (neg.f64 eps) (+.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64))) (/.f64 x eps))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)) eps) #s(literal -1/6 binary64)) eps) eps))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)) eps) #s(literal -1/6 binary64)))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)) eps))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)) eps)))

eval61.0ms (0.7%)

Memory: 8.1MiB live, 53.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 532 to 2 683 computations (51.5% saved)

prune25.0ms (0.3%)

Memory

-1.4MiB live, 45.4MiB allocated; 3ms collecting garbage

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	406	9	415
Fresh	0	5	5
Picked	4	1	5
Done	0	2	2
Total	410	17	427

Accuracy

100.0%

Counts

427 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))))
	79.8%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) (sin.f64 (.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))))
	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64))) eps) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
✓	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64))) eps) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x #s(literal -1/2 binary64))) eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) (fma.f64 #s(approx (+ (* 1/4 x) (* 1/6 eps)) (.f64 #s(literal 1/4 binary64) x)) x #s(literal -1/2 binary64))) eps) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
	81.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))))
✓	81.2%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) eps) x))) eps))
	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (* (+ (* (* eps eps) 1/6) -1) x) (neg.f64 x)) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) eps (neg.f64 x)) eps))))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) eps) x) eps))))
	98.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (+ (* (* eps eps) 1/6) -1) x) eps) (* (* eps eps) -1/2)) #s(approx (* (+ (* -1/2 eps) (neg x)) eps) (.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) (.f64 eps eps))))))
	81.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)) eps)) x)))
	34.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (neg.f64 eps) (.f64 x x))) (*.f64 x x))) x)))

Compiler

Compiled 931 to 711 computations (23.6% saved)

regimes30.0ms (0.3%)

Memory

-3.3MiB live, 41.7MiB allocated; 7ms collecting garbage

Counts

33 → 1

Calls

Call 1

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

Calls

3 calls:

15.0ms	x
8.0ms	eps
6.0ms	(-.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)

regimes29.0ms (0.3%)

Memory

-14.3MiB live, 35.6MiB allocated; 11ms collecting garbage

Counts

28 → 1

Calls

Call 1

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

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

Outputs

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

Calls

3 calls:

14.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
7.0ms	x
7.0ms	eps

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)

regimes19.0ms (0.2%)

Memory

32.4MiB live, 32.4MiB allocated; 0ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

7.0ms	eps
6.0ms	x
5.0ms	(-.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)

regimes21.0ms (0.2%)

Memory

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

Counts

23 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes16.0ms (0.2%)

Memory

-16.6MiB live, 30.4MiB allocated; 1ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

5.0ms	x
5.0ms	eps
5.0ms	(-.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)

regimes14.0ms (0.1%)

Memory

26.7MiB live, 26.7MiB allocated; 0ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

Outputs

#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) 1/6) eps) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) 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
99.5%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.5%	1	`eps`
99.5%	1	`x`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes14.0ms (0.1%)

Memory

-18.3MiB live, 28.6MiB allocated; 1ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

6.0ms	x
4.0ms	eps
3.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes11.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0%)

Memory

-42.2MiB live, 9.4MiB allocated; 2ms 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 (neg.f64 eps) #s(approx (sin x) x)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
81.2%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
81.2%	1	`x`
81.2%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations398.0ms (4.3%)

Memory

36.3MiB live, 258.5MiB allocated; 88ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 153 to 103 computations (32.7% saved)

preprocess91.0ms (1%)

Memory: 22.4MiB live, 163.6MiB allocated; 21ms collecting garbage
Compiler: Compiled 187 to 134 computations (28.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze33.0ms (0.4%)

sample7.2s (77%)

preprocess32.0ms (0.3%)

series5.0ms (0%)

rewrite218.0ms (2.3%)

eval13.0ms (0.1%)

prune5.0ms (0.1%)

series20.0ms (0.2%)

rewrite282.0ms (3%)

eval31.0ms (0.3%)

prune11.0ms (0.1%)

series32.0ms (0.3%)

rewrite346.0ms (3.7%)

eval30.0ms (0.3%)

prune84.0ms (0.9%)

series47.0ms (0.5%)

rewrite209.0ms (2.3%)

eval61.0ms (0.7%)

prune25.0ms (0.3%)

regimes30.0ms (0.3%)

regimes29.0ms (0.3%)

regimes19.0ms (0.2%)

regimes21.0ms (0.2%)

regimes16.0ms (0.2%)

regimes14.0ms (0.1%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

derivations398.0ms (4.3%)

preprocess91.0ms (1%)

end0.0ms (0%)

Profiling