Metrics for 2sin (example 3.3)

start0.0ms (0%)

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

analyze62.0ms (1%)

Memory

-17.5MiB live, 40.4MiB allocated; 35ms 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)

sample4.4s (71.5%)

Memory

136.6MiB live, 4 668.3MiB allocated; 1.7s collecting garbage

Samples

1.8s	25 585×	0	invalid
846.0ms	5 509×	1	valid
183.0ms	2 747×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-sin: 631.0ms (36.4% of total)

adjust: 267.0ms (15.4% of total)

ival-fabs: 249.0ms (14.3% of total)

ival-add!: 159.0ms (9.2% of total)

ival-mult!: 121.0ms (7% of total)

ival-<: 118.0ms (6.8% of total)

ival-sub!: 110.0ms (6.3% of total)

ival-and: 67.0ms (3.9% of total)

ival-assert: 14.0ms (0.8% of total)

Bogosity

preprocess83.0ms (1.3%)

Memory

-28.4MiB live, 17.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	50
1	25	50
2	32	50
3	40	50
4	53	50
5	81	50
6	140	50
7	385	50
8	1451	50
9	5230	50

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.1%)

Memory

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

Counts

6 → 36

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin eps)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos 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 (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 (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin x)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- 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	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))

rewrite163.0ms (2.6%)

Memory

18.9MiB live, 241.8MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	538
0	155	526
1	931	520
0	8567	489

Stop Event

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

Counts

42 → 105

Calls

Call 1

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

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

eval10.0ms (0.2%)

Memory: 15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 107 to 385 computations (65.2% saved)

prune8.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	88	10	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	11	99

Accuracy

100.0%

Counts

99 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.9%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓	64.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	63.4%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
	63.4%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)))
	64.7%	(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
▶	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (sin.f64 eps)))
▶	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
▶	99.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 290 to 278 computations (4.1% saved)

series52.0ms (0.8%)

Memory

-14.7MiB live, 42.5MiB allocated; 22ms collecting garbage

Counts

38 → 182

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos x) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#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 (* (sin x) -1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin eps)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (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 (* 1/120 (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (sin eps)))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) #s(hole binary64 (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
#s(approx (* (sin eps) x) #s(hole binary64 (* x (sin eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps 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 (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (* -1/2 (* (pow x 2) (sin eps)))))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (sin eps)) (/ (cos eps) x)) (/ 1 x)))))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (sin eps)) (+ (/ (cos eps) x) (/ (sin eps) (pow x 2)))) (/ 1 x)))))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) #s(hole binary64 (* -1/2 (* x (sin eps)))))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) #s(hole binary64 (* x (- (+ (* -1/2 (sin eps)) (/ (cos eps) x)) (/ 1 x)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (cos eps) 1)) (* -1 (/ (sin eps) x))) x)) (* -1/2 (sin eps))))))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (cos eps) 1) x)) (* 1/2 (sin eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin x)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/6)))))))))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* eps (- (+ (* 1/24 (* eps x)) (* 1/12 (pow x 2))) 1/6)))))))))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) #s(hole binary64 (* eps (+ (* -1/2 eps) (* -1/2 x)))))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) #s(hole binary64 (* eps (+ (* -1/2 x) (* eps (- (* 1/12 (* eps x)) 1/2))))))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) #s(hole binary64 (* eps (+ (* -1/2 x) (* eps (- (* eps (+ (* 1/24 eps) (* 1/12 x))) 1/2))))))
#s(approx (* (sin eps) x) #s(hole binary64 (* eps x)))
#s(approx (* (sin eps) x) #s(hole binary64 (* eps (+ x (* -1/6 (* (pow eps 2) x))))))
#s(approx (* (sin eps) x) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* 1/120 (* (pow eps 2) x))))))))
#s(approx (* (sin eps) x) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) x)) (* 1/120 x)))))))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (- (cos eps) 1) #s(hole binary64 (- (cos eps) 1)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x) 1/6 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (- (sin (+ x eps)) (sin x)) (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) (* (sin eps) x) (- (cos eps) 1) (cos eps))
6.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x) 1/6 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (- (sin (+ x eps)) (sin x)) (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) (* (sin eps) x) (- (cos eps) 1) (cos eps))
5.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x) 1/6 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (- (sin (+ x eps)) (sin x)) (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) (* (sin eps) x) (- (cos eps) 1) (cos eps))
5.0ms	x	@	0	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x) 1/6 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (- (sin (+ x eps)) (sin x)) (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) (* (sin eps) x) (- (cos eps) 1) (cos eps))
4.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x) 1/6 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (- (sin (+ x eps)) (sin x)) (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) (* (sin eps) x) (- (cos eps) 1) (cos eps))

rewrite166.0ms (2.7%)

Memory

10.3MiB live, 144.4MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	706	4513
0	766	4426
1	4150	4426
0	8189	4279

Stop Event

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

Counts

220 → 358

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
(.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x))
eps
(fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))
(*.f64 (sin.f64 x) eps)
(sin.f64 x)
x
#s(literal 1/24 binary64)
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(cos.f64 x)
#s(literal -1/6 binary64)
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (sin.f64 eps)))
(fma.f64 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (sin.f64 eps))
(fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 eps) x)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos x) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#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 (* (sin x) -1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin eps)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (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 (* 1/120 (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (sin eps)))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) #s(hole binary64 (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
#s(approx (* (sin eps) x) #s(hole binary64 (* x (sin eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps 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 (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (* -1/2 (* (pow x 2) (sin eps)))))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (sin eps)) (/ (cos eps) x)) (/ 1 x)))))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (sin eps)) (+ (/ (cos eps) x) (/ (sin eps) (pow x 2)))) (/ 1 x)))))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) #s(hole binary64 (* -1/2 (* x (sin eps)))))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) #s(hole binary64 (* x (- (+ (* -1/2 (sin eps)) (/ (cos eps) x)) (/ 1 x)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (cos eps) 1)) (* -1 (/ (sin eps) x))) x)) (* -1/2 (sin eps))))))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (cos eps) 1) x)) (* 1/2 (sin eps)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin x)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* eps (- (* 1/12 (pow x 2)) 1/6)))))))))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) #s(hole binary64 (* eps (+ 1 (+ (* -1/2 (pow x 2)) (* eps (+ (* -1/2 x) (* eps (- (+ (* 1/24 (* eps x)) (* 1/12 (pow x 2))) 1/6)))))))))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) #s(hole binary64 (* eps (+ (* -1/2 eps) (* -1/2 x)))))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) #s(hole binary64 (* eps (+ (* -1/2 x) (* eps (- (* 1/12 (* eps x)) 1/2))))))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) #s(hole binary64 (* eps (+ (* -1/2 x) (* eps (- (* eps (+ (* 1/24 eps) (* 1/12 x))) 1/2))))))
#s(approx (* (sin eps) x) #s(hole binary64 (* eps x)))
#s(approx (* (sin eps) x) #s(hole binary64 (* eps (+ x (* -1/6 (* (pow eps 2) x))))))
#s(approx (* (sin eps) x) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* 1/120 (* (pow eps 2) x))))))))
#s(approx (* (sin eps) x) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) x)) (* 1/120 x)))))))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (- (cos eps) 1) #s(hole binary64 (- (cos eps) 1)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
(.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps)
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps))
(fma.f64 (cos.f64 x) eps (.f64 eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps))
(fma.f64 eps (cos.f64 x) (.f64 eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)))
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(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 (cos.f64 x) eps (.f64 eps (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 eps (cos.f64 x) (.f64 eps (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (cos.f64 x) (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (cos.f64 x))
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))
(fma.f64 (sin.f64 x) (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(-.f64 (cos.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) eps)))
(+.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (sin.f64 eps)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x) (sin.f64 eps)))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x) #s(literal 2 binary64))) (-.f64 (sin.f64 eps) (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (.f64 (.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x) (sin.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x) #s(literal 2 binary64)) (.f64 (sin.f64 eps) (.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x)))))
(fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps))
(fma.f64 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (sin.f64 eps))
(-.f64 (sin.f64 eps) (.f64 (neg.f64 x) (fma.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))
(+.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x) (sin.f64 eps))
(+.f64 (sin.f64 eps) (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x))
(/.f64 (-.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (pow.f64 (.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 (cos.f64 eps) (.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (.f64 (-.f64 (cos.f64 eps) (.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (cos.f64 eps) (.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64))))) #s(literal 2 binary64))) (.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (cos.f64 eps) (.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 (log.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (sin.f64 eps) x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))))
(fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sin.f64 eps) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(fma.f64 (sin.f64 eps) (*.f64 #s(literal -1/2 binary64) x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 eps) x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(+.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64)))
(+.f64 (cos.f64 eps) (-.f64 (.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 eps)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 eps) #s(literal 1 binary64)))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(sin.f64 (+.f64 (neg.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 eps)))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
(+.f64 (.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (cos.f64 eps)) #s(literal 1 binary64)) (sin.f64 eps)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps x) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) eps)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x) eps) #s(literal 1/2 binary64))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (-.f64 (.f64 (.f64 eps x) #s(literal 1/24 binary64)) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) x (*.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64)))
#s(approx (* (sin x) eps) (*.f64 eps x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/120 binary64) eps)) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (* (cos x) -1/6) #s(literal -1/6 binary64))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (* (cos x) -1/6) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 x x)) #s(literal 1/144 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (sin x) -1/2) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (* (sin x) -1/2) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/240 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* (sin x) -1/2) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/10080 binary64) (.f64 x x)) #s(literal 1/240 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (sin (+ x eps)) (sin.f64 eps))
#s(approx (sin (+ x eps)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
#s(approx (sin (+ x eps)) (fma.f64 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) (sin.f64 eps)))
#s(approx (sin (+ x eps)) (fma.f64 (fma.f64 x (fma.f64 (.f64 (cos.f64 eps) x) #s(literal -1/6 binary64) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (cos.f64 eps)) x (sin.f64 eps)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) x)
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (- (* 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 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* 1/120 (* x x)) 1/6) (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (* 1/120 (* x x)) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(literal 1 binary64))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64)))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (sin.f64 eps))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (fma.f64 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (sin.f64 eps)))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
#s(approx (* (sin eps) x) (*.f64 (sin.f64 eps) x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (cos x) -1/6) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (sin x) -1/2) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) x)
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/120 binary64)))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (* 1/120 (* x x)) 1/6) (.f64 (.f64 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 (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) (sin.f64 eps)))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (/.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x)) (.f64 x x)))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (-.f64 (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (+.f64 (/.f64 (sin.f64 eps) (.f64 x x)) (/.f64 (cos.f64 eps) x))) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) (.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) (*.f64 (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (/.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 eps (neg.f64 x))))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 eps) x)) (neg.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)))) x))) (.f64 x x)))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (sin.f64 eps) (/.f64 (neg.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (cos.f64 x))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
#s(approx eps eps)
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx (sin eps) eps)
#s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin (+ x eps)) (sin.f64 x))
#s(approx (sin (+ x eps)) (fma.f64 (cos.f64 x) eps (sin.f64 x)))
#s(approx (sin (+ x eps)) (fma.f64 eps (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (fma.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (cos.f64 x))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 x x)) #s(literal 1 binary64)) eps))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps))
#s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (.f64 (.f64 eps x) #s(literal 1/24 binary64))) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) (.f64 (.f64 eps x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps x)) eps))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps))
#s(approx (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) eps) #s(literal 1/2 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps))
#s(approx (* (sin eps) x) (*.f64 eps x))
#s(approx (* (sin eps) x) (.f64 (fma.f64 (.f64 (*.f64 eps eps) x) #s(literal -1/6 binary64) x) eps))
#s(approx (* (sin eps) x) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) x (.f64 #s(literal -1/6 binary64) x)) (*.f64 eps eps) x) eps))
#s(approx (* (sin eps) x) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 eps eps)) x (.f64 #s(literal 1/120 binary64) x)) (.f64 #s(literal -1/6 binary64) x)) (*.f64 eps eps) x) eps))
#s(approx (- (cos eps) 1) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (cos eps) #s(literal 1 binary64))
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) (sin.f64 x)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps))))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (sin.f64 x)) #s(literal 1/24 binary64)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal 1/24 binary64))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps))))) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) eps))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))
#s(approx (- (cos eps) 1) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/6 binary64))) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (neg.f64 eps) (*.f64 eps eps)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps))) eps))) eps)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/6 binary64))) eps))) (*.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64)))))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps)))))

eval72.0ms (1.2%)

Memory: 10.9MiB live, 62.7MiB allocated; 41ms collecting garbage
Compiler: Compiled 5 246 to 2 103 computations (59.9% saved)

prune21.0ms (0.3%)

Memory

-20.3MiB live, 26.4MiB allocated; 6ms collecting garbage

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	392	15	407
Fresh	1	4	5
Picked	3	2	5
Done	0	1	1
Total	396	22	418

Accuracy

100.0%

Counts

418 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.9%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓	64.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	64.7%	(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
▶	99.6%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
✓	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
✓	99.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
▶	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
▶	5.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) eps))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)))
	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps)))
▶	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps)))
▶	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Compiler

Compiled 824 to 776 computations (5.8% saved)

series41.0ms (0.7%)

Memory

-2.5MiB live, 43.3MiB allocated; 3ms collecting garbage

Counts

43 → 251

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps))
(cos.f64 x)
x
eps
(.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)
(.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)
(fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))
#s(literal -1/6 binary64)
(.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))
(*.f64 (sin.f64 x) eps)
(sin.f64 x)
#s(literal 1/24 binary64)
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps))
(fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps)
(.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps)))
(fma.f64 eps x (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) eps))
(.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) eps)
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
(.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
(.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps)
(fma.f64 eps #s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
(fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))
(fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps))
(fma.f64 #s(literal -1/144 binary64) (*.f64 eps eps) #s(literal 1/12 binary64))
#s(literal -1/144 binary64)
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/12 binary64) eps)
(.f64 (.f64 eps eps) #s(literal 1/24 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/6 binary64) eps)

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (+ eps (* -1/6 (pow eps 3)))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (+ eps (+ (* -1/6 (pow eps 3)) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (+ eps (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* -1/2 eps) (* 1/12 (pow eps 3)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (+ eps (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* -1/2 eps) (+ (* 1/12 (pow eps 3)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) #s(hole binary64 (* -1/6 (pow eps 3))))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) #s(hole binary64 (+ (* -1/6 (pow eps 3)) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) #s(hole binary64 (+ (* -1/6 (pow eps 3)) (* x (+ (* 1/12 (* (pow eps 3) x)) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) #s(hole binary64 (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* 1/12 (pow eps 3)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2))))))))))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 -1/6))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#s(approx (* (* (sin x) eps) 1/24) #s(hole binary64 (* 1/24 (* eps x))))
#s(approx (* (* (sin x) eps) 1/24) #s(hole binary64 (* x (+ (* -1/144 (* eps (pow x 2))) (* 1/24 eps)))))
#s(approx (* (* (sin x) eps) 1/24) #s(hole binary64 (* x (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/144 eps) (* 1/2880 (* eps (pow x 2)))))))))
#s(approx (* (* (sin x) eps) 1/24) #s(hole binary64 (* x (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/144 eps) (* (pow x 2) (+ (* -1/120960 (* eps (pow x 2))) (* 1/2880 eps)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 eps))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (+ (* eps x) (pow eps 2))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* 1/12 (* eps (pow x 2)))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps)))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x)))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2)))))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* 1/12 eps)))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (+ (* eps (cos x)) (* (pow eps 2) (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (* (sin x) eps) 1/24) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* -1/2 (* eps (pow x 2)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* x (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* eps x)))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* x (+ eps (/ (pow eps 2) x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow x 3) (+ 1/12 (* -1/144 (pow eps 2))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow x 3) (+ 1/12 (+ (* -1/144 (pow eps 2)) (* 1/12 (/ eps x)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/12 (+ (* -1/144 (pow eps 2)) (+ (* 1/24 (/ (pow eps 2) (pow x 2))) (* 1/12 (/ eps x))))) (/ 1/2 (pow x 2))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/12 (+ (* -1/6 (/ eps (pow x 3))) (+ (* -1/144 (pow eps 2)) (+ (* 1/24 (/ (pow eps 2) (pow x 2))) (* 1/12 (/ eps x)))))) (/ 1/2 (pow x 2))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/12 (* -1/144 (pow eps 2))))))
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#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* -1 (* x (+ (* 1/2 eps) (* 1/2 (/ (pow eps 2) x)))))))
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#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
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#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx eps #s(hole binary64 eps))
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#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
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#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* eps (+ (* -1/2 eps) (* -1/2 x)))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* eps (+ eps x))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
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#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
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#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
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#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* eps (- (+ (* 1/12 (pow x 2)) (* eps (* x (+ 1/24 (* -1/144 (pow x 2)))))) 1/6)) (* x (- (* 1/12 (pow x 2)) 1/2)))))
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#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (+ (* 1/12 (* eps x)) (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (+ (* 1/12 (pow x 2)) (* eps (+ (* 1/12 x) (* eps (+ 1/24 (* -1/144 (pow x 2)))))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (+ (* 1/12 eps) (* 1/12 x))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (+ (* 1/12 x) (* eps (+ 1/12 (* -1/144 (* eps x)))))))
#s(approx (+ (* -1/144 (* eps eps)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* -1/144 (* eps eps)) 1/12) #s(hole binary64 (+ 1/12 (* -1/144 (pow eps 2)))))
#s(approx (* 1/12 eps) #s(hole binary64 (* 1/12 eps)))
#s(approx (* (* eps eps) 1/24) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (* -1/6 eps) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/2))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (/ x eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/24 (* -1/144 (pow x 2)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/12 (/ (pow x 2) eps)) (* x (+ 1/24 (* -1/144 (pow x 2))))) (* 1/6 (/ 1 eps))))))
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#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow eps 2) (+ 1/24 (* -1/144 (pow x 2))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow eps 2) (+ 1/24 (+ (* -1/144 (pow x 2)) (* 1/12 (/ x eps)))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow eps 2) (- (+ 1/24 (+ (* -1/144 (pow x 2)) (+ (* 1/12 (/ x eps)) (* 1/12 (/ (pow x 2) (pow eps 2)))))) (/ 1/2 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (* -1/144 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (+ (* -1/144 (pow x 2)) (* 1/12 (/ x eps)))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (+ (* -1/144 (pow x 2)) (+ (* 1/12 (/ x eps)) (* 1/12 (/ (pow x 2) (pow eps 2)))))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* -1/144 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ 1 eps))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/144 x) (+ (* 1/12 (/ x (pow eps 2))) (* 1/12 (/ 1 eps)))))))
#s(approx (+ (* -1/144 (* eps eps)) 1/12) #s(hole binary64 (* -1/144 (pow eps 2))))
#s(approx (+ (* -1/144 (* eps eps)) 1/12) #s(hole binary64 (* (pow eps 2) (- (* 1/12 (/ 1 (pow eps 2))) 1/144))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* -1/2 x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/6 (* -1/12 (pow x 2))) eps)) (* x (+ 1/24 (* -1/144 (pow x 2))))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)) (* -1/12 (pow x 2)))) eps)) (* x (+ 1/24 (* -1/144 (pow x 2))))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow eps 2) (+ 1/24 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/12 (pow x 2)) 1/2) eps)) (* -1/12 x)) eps)) (* -1/144 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (+ (* -1 (/ (+ (* -1/12 x) (* -1/12 (/ (pow x 2) eps))) eps)) (* -1/144 (pow x 2)))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* -1/12 (/ x eps)) 1/12) eps)) (* -1/144 x)))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) (cos x) x eps (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) -1/6 (* (* (sin x) eps) 1/24) (* (sin x) eps) (sin x) 1/24 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (* -1/2 (+ (* eps x) (* eps eps))) (+ (* eps x) (* eps eps)) (* eps eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (* (sin x) eps) -1/2) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 1/12 (* 1/12 eps) (* (* eps eps) 1/24) 1/2 (* -1/6 eps))
5.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) (cos x) x eps (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) -1/6 (* (* (sin x) eps) 1/24) (* (sin x) eps) (sin x) 1/24 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (* -1/2 (+ (* eps x) (* eps eps))) (+ (* eps x) (* eps eps)) (* eps eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (* (sin x) eps) -1/2) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 1/12 (* 1/12 eps) (* (* eps eps) 1/24) 1/2 (* -1/6 eps))
5.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) (cos x) x eps (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) -1/6 (* (* (sin x) eps) 1/24) (* (sin x) eps) (sin x) 1/24 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (* -1/2 (+ (* eps x) (* eps eps))) (+ (* eps x) (* eps eps)) (* eps eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (* (sin x) eps) -1/2) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 1/12 (* 1/12 eps) (* (* eps eps) 1/24) 1/2 (* -1/6 eps))
5.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) (cos x) x eps (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) -1/6 (* (* (sin x) eps) 1/24) (* (sin x) eps) (sin x) 1/24 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (* -1/2 (+ (* eps x) (* eps eps))) (+ (* eps x) (* eps eps)) (* eps eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (* (sin x) eps) -1/2) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 1/12 (* 1/12 eps) (* (* eps eps) 1/24) 1/2 (* -1/6 eps))
5.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) (cos x) x eps (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) -1/6 (* (* (sin x) eps) 1/24) (* (sin x) eps) (sin x) 1/24 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (* -1/2 (+ (* eps x) (* eps eps))) (+ (* eps x) (* eps eps)) (* eps eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (* (sin x) eps) -1/2) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (+ (* -1/144 (* eps eps)) 1/12) -1/144 1/12 (* 1/12 eps) (* (* eps eps) 1/24) 1/2 (* -1/6 eps))

rewrite190.0ms (3.1%)

Memory

11.2MiB live, 146.0MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	921	8472
0	976	8167
1	5529	8167
0	8169	7855

Stop Event

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

Counts

294 → 467

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps))
(cos.f64 x)
x
eps
(.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)
(.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)
(fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))
#s(literal -1/6 binary64)
(.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))
(*.f64 (sin.f64 x) eps)
(sin.f64 x)
#s(literal 1/24 binary64)
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps))
(fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps)
(.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps)))
(fma.f64 eps x (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) eps))
(.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) eps)
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
(.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
(.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps)
(fma.f64 eps #s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
(fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))
(fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps))
(fma.f64 #s(literal -1/144 binary64) (*.f64 eps eps) #s(literal 1/12 binary64))
#s(literal -1/144 binary64)
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/12 binary64) eps)
(.f64 (.f64 eps eps) #s(literal 1/24 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/6 binary64) eps)
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (+ eps (* -1/6 (pow eps 3)))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (+ eps (+ (* -1/6 (pow eps 3)) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (+ eps (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* -1/2 eps) (* 1/12 (pow eps 3)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (+ eps (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* -1/2 eps) (+ (* 1/12 (pow eps 3)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) #s(hole binary64 (* -1/6 (pow eps 3))))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) #s(hole binary64 (+ (* -1/6 (pow eps 3)) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) #s(hole binary64 (+ (* -1/6 (pow eps 3)) (* x (+ (* 1/12 (* (pow eps 3) x)) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) #s(hole binary64 (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* 1/12 (pow eps 3)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2))))))))))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 -1/6))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#s(approx (* (* (sin x) eps) 1/24) #s(hole binary64 (* 1/24 (* eps x))))
#s(approx (* (* (sin x) eps) 1/24) #s(hole binary64 (* x (+ (* -1/144 (* eps (pow x 2))) (* 1/24 eps)))))
#s(approx (* (* (sin x) eps) 1/24) #s(hole binary64 (* x (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/144 eps) (* 1/2880 (* eps (pow x 2)))))))))
#s(approx (* (* (sin x) eps) 1/24) #s(hole binary64 (* x (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/144 eps) (* (pow x 2) (+ (* -1/120960 (* eps (pow x 2))) (* 1/2880 eps)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 eps))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (+ (* eps x) (pow eps 2))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* 1/12 (* eps (pow x 2)))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps)))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x)))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2)))))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* 1/12 eps)))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (+ (* eps (cos x)) (* (pow eps 2) (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (* (sin x) eps) 1/24) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* -1/2 (* eps (pow x 2)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* x (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* eps x)))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* x (+ eps (/ (pow eps 2) x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow x 3) (+ 1/12 (* -1/144 (pow eps 2))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow x 3) (+ 1/12 (+ (* -1/144 (pow eps 2)) (* 1/12 (/ eps x)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/12 (+ (* -1/144 (pow eps 2)) (+ (* 1/24 (/ (pow eps 2) (pow x 2))) (* 1/12 (/ eps x))))) (/ 1/2 (pow x 2))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow x 3) (- (+ 1/12 (+ (* -1/6 (/ eps (pow x 3))) (+ (* -1/144 (pow eps 2)) (+ (* 1/24 (/ (pow eps 2) (pow x 2))) (* 1/12 (/ eps x)))))) (/ 1/2 (pow x 2))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/12 (* -1/144 (pow eps 2))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* -1/144 (pow eps 2)) (* 1/12 (/ eps x)))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1/12 (+ (* -1/144 (pow eps 2)) (+ (* 1/24 (/ (pow eps 2) (pow x 2))) (* 1/12 (/ eps x))))) (/ 1/2 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow x 2) (+ 1/12 (* -1/144 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* -1/144 (pow eps 2)) (* 1/12 (/ eps x)))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* -1/144 (pow eps 2)) (+ (* 1/24 (/ (pow eps 2) (pow x 2))) (* 1/12 (/ eps x))))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* x (+ 1/12 (* -1/144 (pow eps 2))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* x (+ 1/12 (+ (* -1/144 (pow eps 2)) (* 1/12 (/ eps x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* -1 (* x (+ (* 1/2 eps) (* 1/2 (/ (pow eps 2) x)))))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (+ 1/12 (* -1/144 (pow eps 2)))) (* -1/12 (/ eps x)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (+ 1/12 (* -1/144 (pow eps 2)))) (* -1 (/ (- (+ (* 1/24 (/ (pow eps 2) x)) (* 1/12 eps)) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (+ 1/12 (* -1/144 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/24 (pow eps 2)) 1/2)) (* 1/6 (/ eps x))) x)) (* 1/12 eps)) x)))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/24 (pow eps 2)) 1/2) x)) (* -1/12 eps)) x)) (* -1/144 (pow eps 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* -1 (/ (+ (* -1/12 eps) (* -1/24 (/ (pow eps 2) x))) x)) (* -1/144 (pow eps 2)))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1/12 (* -1/144 (pow eps 2)))) (* -1/12 (/ eps x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* eps (+ (* -1/2 eps) (* -1/2 x)))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* eps (+ eps x))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* eps (- (* 1/12 (pow x 2)) 1/6)) (* x (- (* 1/12 (pow x 2)) 1/2)))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (+ (* eps (- (+ (* 1/12 (pow x 2)) (* eps (* x (+ 1/24 (* -1/144 (pow x 2)))))) 1/6)) (* x (- (* 1/12 (pow x 2)) 1/2)))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/2)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (- (+ (* 1/12 (* eps x)) (* 1/12 (pow x 2))) 1/2)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (- (+ (* 1/12 (pow x 2)) (* eps (+ (* 1/12 x) (* eps (+ 1/24 (* -1/144 (pow x 2))))))) 1/2)))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (+ (* 1/12 (* eps x)) (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (+ (* 1/12 (pow x 2)) (* eps (+ (* 1/12 x) (* eps (+ 1/24 (* -1/144 (pow x 2)))))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (+ (* 1/12 eps) (* 1/12 x))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (+ (* 1/12 x) (* eps (+ 1/12 (* -1/144 (* eps x)))))))
#s(approx (+ (* -1/144 (* eps eps)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* -1/144 (* eps eps)) 1/12) #s(hole binary64 (+ 1/12 (* -1/144 (pow eps 2)))))
#s(approx (* 1/12 eps) #s(hole binary64 (* 1/12 eps)))
#s(approx (* (* eps eps) 1/24) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (* -1/6 eps) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (* -1/2 (+ (* eps x) (* eps eps))) #s(hole binary64 (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/2))))
#s(approx (+ (* eps x) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (/ x eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/24 (* -1/144 (pow x 2)))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/12 (/ (pow x 2) eps)) (* x (+ 1/24 (* -1/144 (pow x 2))))) (* 1/6 (/ 1 eps))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/12 (/ (pow x 2) eps)) (+ (* x (+ 1/24 (* -1/144 (pow x 2)))) (/ (* x (- (* 1/12 (pow x 2)) 1/2)) (pow eps 2)))) (* 1/6 (/ 1 eps))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow eps 2) (+ 1/24 (* -1/144 (pow x 2))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow eps 2) (+ 1/24 (+ (* -1/144 (pow x 2)) (* 1/12 (/ x eps)))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow eps 2) (- (+ 1/24 (+ (* -1/144 (pow x 2)) (+ (* 1/12 (/ x eps)) (* 1/12 (/ (pow x 2) (pow eps 2)))))) (/ 1/2 (pow eps 2))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (* -1/144 (pow x 2))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (+ (* -1/144 (pow x 2)) (* 1/12 (/ x eps)))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (+ (* -1/144 (pow x 2)) (+ (* 1/12 (/ x eps)) (* 1/12 (/ (pow x 2) (pow eps 2)))))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* -1/144 (* (pow eps 2) x))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/144 x) (* 1/12 (/ 1 eps))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/144 x) (+ (* 1/12 (/ x (pow eps 2))) (* 1/12 (/ 1 eps)))))))
#s(approx (+ (* -1/144 (* eps eps)) 1/12) #s(hole binary64 (* -1/144 (pow eps 2))))
#s(approx (+ (* -1/144 (* eps eps)) 1/12) #s(hole binary64 (* (pow eps 2) (- (* 1/12 (/ 1 (pow eps 2))) 1/144))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* -1/2 x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/6 (* -1/12 (pow x 2))) eps)) (* x (+ 1/24 (* -1/144 (pow x 2))))))))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) 1/2)) eps)) (* -1/12 (pow x 2)))) eps)) (* x (+ 1/24 (* -1/144 (pow x 2))))))))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) #s(hole binary64 (* (pow eps 2) (+ 1/24 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/12 (pow x 2)) 1/2) eps)) (* -1/12 x)) eps)) (* -1/144 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (+ (* -1 (/ (+ (* -1/12 x) (* -1/12 (/ (pow x 2) eps))) eps)) (* -1/144 (pow x 2)))))))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* -1/12 (/ x eps)) 1/12) eps)) (* -1/144 x)))))

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
(.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps)
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 x) eps) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) eps) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))))))
(fma.f64 (.f64 eps eps) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 (cos.f64 x) eps))
(fma.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps (*.f64 (cos.f64 x) eps))
(fma.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps) (*.f64 (cos.f64 x) eps))
(fma.f64 (cos.f64 x) eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(fma.f64 eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) (*.f64 (cos.f64 x) eps))
(fma.f64 eps (cos.f64 x) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
(-.f64 (.f64 (cos.f64 x) eps) (.f64 (neg.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)) eps))
(-.f64 (.f64 (cos.f64 x) eps) (.f64 (neg.f64 (.f64 eps eps)) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)))
(+.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps)) (.f64 (cos.f64 x) eps))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
eps
(.f64 (.f64 eps eps) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)
(.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))
(.f64 eps (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps))
(fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps) (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 eps eps)))
(fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (.f64 eps eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps)))
(+.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 eps eps)))
(+.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 (.f64 eps eps) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps)))
(.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps)
(.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(fma.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) eps (.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps))
(fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (.f64 (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) eps))
(fma.f64 eps (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps) (.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
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#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 1/12 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/24 binary64)) x)) (/.f64 #s(literal 1/6 binary64) eps)) (*.f64 eps eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 1/12 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/24 binary64)) x (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) (.f64 eps eps)))) (/.f64 #s(literal 1/6 binary64) eps)) (.f64 eps eps)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/24 binary64)) (*.f64 eps eps)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/144 binary64))) #s(literal 1/24 binary64)) (.f64 eps eps)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (.f64 (-.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) (.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 x eps) (/.f64 (.f64 x x) (.f64 eps eps))))) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/24 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/144 binary64))) #s(literal 1/24 binary64)) (.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) (.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 x eps) (/.f64 (.f64 x x) (.f64 eps eps))))) #s(literal 1/24 binary64)) (.f64 eps eps)))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal -1/144 binary64)))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (.f64 (fma.f64 #s(literal -1/144 binary64) x (/.f64 #s(literal 1/12 binary64) eps)) (.f64 eps eps)))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (.f64 (fma.f64 #s(literal -1/144 binary64) x (fma.f64 (/.f64 x (.f64 eps eps)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/12 binary64) eps))) (*.f64 eps eps)))
#s(approx (+ (* -1/144 (* eps eps)) 1/12) (.f64 (.f64 eps eps) #s(literal -1/144 binary64)))
#s(approx (+ (* -1/144 (* eps eps)) 1/12) (.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)) (*.f64 eps eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) (neg.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/24 binary64))) (.f64 (.f64 eps eps) eps))))
#s(approx (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (*.f64 eps eps)))
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/24 binary64)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) x (neg.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) eps))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps)))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ (* (cos x) eps) (* (* (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) eps) eps)) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/24 binary64))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (*.f64 eps eps) (neg.f64 eps)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps))) eps))) eps)))))
#s(approx (+ (* eps (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24))) (* (sin x) -1/2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (*.f64 eps eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/24 binary64)) x (neg.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) #s(literal 1/6 binary64)) eps))) (.f64 eps eps)))
#s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/24 binary64)) x (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 x x) (neg.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x) eps))) #s(literal 1/6 binary64)) eps))) (*.f64 eps eps)))
#s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) x (neg.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) eps))) eps))) #s(literal 1/24 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) (neg.f64 (/.f64 (.f64 #s(literal -1/12 binary64) (+.f64 x (/.f64 (.f64 x x) eps))) eps))) #s(literal 1/24 binary64)) (*.f64 eps eps)))
#s(approx (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) (.f64 (fma.f64 #s(literal -1/144 binary64) x (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 x eps) #s(literal -1/12 binary64)) #s(literal 1/12 binary64)) eps))) (*.f64 eps eps)))

eval66.0ms (1.1%)

Memory: -11.0MiB live, 78.9MiB allocated; 9ms collecting garbage
Compiler: Compiled 8 051 to 3 187 computations (60.4% saved)

prune22.0ms (0.4%)

Memory

33.0MiB live, 33.0MiB allocated; 0ms collecting garbage

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	484	9	493
Fresh	2	12	14
Picked	3	2	5
Done	0	3	3
Total	489	26	515

Accuracy

100.0%

Counts

515 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.9%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓	64.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	64.7%	(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps #s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps #s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
✓	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
✓	99.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
▶	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
	98.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/144 binary64))) #s(literal 1/24 binary64)) (.f64 eps eps))) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) (cos.f64 x)) eps))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
✓	5.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) eps))
	5.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64))) eps))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)))
	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps)))
	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x))) x eps)))
	54.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/2 binary64) (/.f64 (neg.f64 eps) x)) x))) (*.f64 x x)))))
▶	5.0%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
✓	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Compiler

Compiled 1 146 to 1 084 computations (5.4% saved)

series32.0ms (0.5%)

Memory

-22.1MiB live, 33.3MiB allocated; 6ms collecting garbage

Counts

35 → 177

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2)))))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#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 (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 eps))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (* (* x x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (pow x 2)))))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (+ (* -1/2 eps) (* -1/2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* -1/2 (* eps (pow x 2)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* x (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1 (* x (+ 1/2 (* 1/2 (/ eps x)))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* -1/6 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1/6 (* (pow eps 2) (cos x)))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 (* eps (cos x)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* eps (- (* -1/2 (/ x eps)) 1/2))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1 (* eps (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* -1/2 x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* 1/2 (/ x eps)))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* (cos x) eps) (cos x) x -1/6 (* (sin x) -1/2) (sin x) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (* (* (* x x) eps) -1/2) (* (* x x) eps) (* x x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* -1/2 (+ eps x)) (+ eps x) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)))
5.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* (cos x) eps) (cos x) x -1/6 (* (sin x) -1/2) (sin x) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (* (* (* x x) eps) -1/2) (* (* x x) eps) (* x x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* -1/2 (+ eps x)) (+ eps x) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)))
4.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* (cos x) eps) (cos x) x -1/6 (* (sin x) -1/2) (sin x) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (* (* (* x x) eps) -1/2) (* (* x x) eps) (* x x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* -1/2 (+ eps x)) (+ eps x) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)))
4.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* (cos x) eps) (cos x) x -1/6 (* (sin x) -1/2) (sin x) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (* (* (* x x) eps) -1/2) (* (* x x) eps) (* x x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* -1/2 (+ eps x)) (+ eps x) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)))
4.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (* (cos x) eps) (cos x) x -1/6 (* (sin x) -1/2) (sin x) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (* (* (* x x) eps) -1/2) (* (* x x) eps) (* x x) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ eps x)) x) 1) (* -1/2 (+ eps x)) (+ eps x) 1 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)))

rewrite174.0ms (2.8%)

Memory

8.3MiB live, 140.2MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	680	4985
0	721	4873
1	4053	4873
0	8926	4541

Stop Event

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

Counts

212 → 338

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
(.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps)
(fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x))
eps
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
x
#s(literal -1/6 binary64)
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
(sin.f64 x)
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64))
(.f64 (.f64 x x) eps)
(*.f64 x x)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
(.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps)
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x))
(+.f64 eps x)
#s(literal 1 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 (*.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 #s(approx (sin x) x) eps)
#s(approx (sin x) x)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
(.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps)
(fma.f64 eps (fma.f64 eps #s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x))
(fma.f64 eps #s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/12 (pow eps 2)) 1/2)))))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/6 (pow eps 2))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* -1/2 eps) (* x (- (+ (* 1/12 (* eps x)) (* 1/12 (pow eps 2))) 1/2))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 x) (* -1/6 eps))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* x (+ (* 1/12 eps) (* 1/12 x))) 1/2)))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#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 (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 eps))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (* (* x x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (pow x 2)))))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (+ (* -1/2 eps) (* -1/2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* -1/2 (* eps (pow x 2)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* x (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1 (* x (+ 1/2 (* 1/2 (/ eps x)))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* -1/6 (* (pow eps 3) (cos x)))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1/6 (* (pow eps 2) (cos x)))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) eps)) (+ (* -1/6 (cos x)) (/ (cos x) (pow eps 2)))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 (* eps (cos x)))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* eps (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* eps (- (* -1/2 (/ x eps)) 1/2))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x)))))))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))))))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) #s(hole binary64 (* -1 (* eps (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps)))))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* -1/2 x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))))
#s(approx (* -1/2 (+ eps x)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* 1/2 (/ x eps)))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (cos.f64 x)) eps))
(.f64 (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (cos.f64 x)) eps)
(.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) eps))
(fma.f64 (cos.f64 x) eps (.f64 eps (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps)))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) eps))
(fma.f64 eps (cos.f64 x) (.f64 eps (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) eps))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps)))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) #s(literal 2 binary64)) (.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) (cos.f64 x))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) #s(literal 2 binary64)) (.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) (cos.f64 x)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps (cos.f64 x))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (cos.f64 x))
(-.f64 (cos.f64 x) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))))
(+.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps))
eps
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
(fma.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 x) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (cos.f64 x) (.f64 #s(literal -1/6 binary64) eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))
(fma.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))
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#s(approx (sin x) (sin.f64 x))
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#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 eps (/.f64 (.f64 eps eps) x))) (.f64 x x)))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (+.f64 eps (/.f64 (.f64 eps eps) x)) (/.f64 eps (.f64 x x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (-.f64 (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (* -1/2 (+ eps x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* -1/2 (+ eps x)) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 eps eps) (/.f64 (neg.f64 eps) x)) x))) (*.f64 x x)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 x x) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64))))
#s(approx (* -1/2 (+ eps x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (cos.f64 x))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx eps eps)
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 x x)) #s(literal 1 binary64)) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (cos.f64 x))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (fma.f64 #s(literal -1/2 binary64) (fma.f64 eps x (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (cos.f64 x)) eps))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (cos.f64 x))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) (cos.f64 x)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps)) #s(literal -1/6 binary64)))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (.f64 eps eps) eps)))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (.f64 eps eps)))) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/6 binary64)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 eps eps)))
#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (/.f64 (cos.f64 x) (.f64 eps eps)))) (*.f64 eps eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps)))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (.f64 (*.f64 eps eps) x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) (*.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (.f64 eps x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) eps))
#s(approx (* -1/2 (+ eps x)) (.f64 (-.f64 (.f64 (/.f64 x eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) (sin.f64 x)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps))))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (sin.f64 x)) #s(literal 1/24 binary64)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (.f64 (*.f64 eps eps) eps)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps))))) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (.f64 #s(literal 1/24 binary64) (.f64 (sin.f64 x) eps)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (neg.f64 (.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) (.f64 (.f64 eps eps) eps))))
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#s(approx (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps))) eps))) (.f64 eps eps)))
#s(approx (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x)))))
#s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) x (neg.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) eps))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps)))))
#s(approx (+ (* (* -1/2 (+ eps x)) x) 1) (.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)))))
#s(approx (* -1/2 (+ eps x)) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
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#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (neg.f64 eps) (*.f64 eps eps)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps))) eps))) eps)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (*.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64)))))

eval45.0ms (0.7%)

Memory: 3.6MiB live, 55.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 5 253 to 1 925 computations (63.4% saved)

prune29.0ms (0.5%)

Memory

-8.9MiB live, 37.8MiB allocated; 2ms collecting garbage

Pruning

29 alts after pruning (21 fresh and 8 done)

	Pruned	Kept	Total
New	354	11	365
Fresh	6	10	16
Picked	2	3	5
Done	0	5	5
Total	362	29	391

Accuracy

100.0%

Counts

391 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.9%	(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓	64.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	64.7%	(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps #s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps #s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) eps)))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (cos.f64 x)) eps))
✓	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
	98.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
✓	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
✓	99.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
	99.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) #s(approx (* (sin x) -1/2) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) (cos.f64 x)) eps))
	98.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) #s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x))) (cos.f64 x)) eps))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
	98.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/144 binary64))) #s(literal 1/24 binary64)) (.f64 eps eps))) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) (cos.f64 x)) eps))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
✓	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
	97.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ eps x) x)) x #s(literal 1 binary64))) eps))
✓	5.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) eps))
	5.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64))) eps))
	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x))) x eps)))
✓	5.0%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
✓	97.6%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))

Compiler

Compiled 1 253 to 969 computations (22.7% saved)

regimes36.0ms (0.6%)

Memory

-7.4MiB live, 38.4MiB allocated; 2ms collecting garbage

Counts

46 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ eps x) x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/2 binary64) (/.f64 (neg.f64 eps) x)) x))) (*.f64 x x)))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) #s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) #s(approx (* (sin x) -1/2) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) (cos.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/144 binary64))) #s(literal 1/24 binary64)) (.f64 eps eps))) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps #s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps #s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes33.0ms (0.5%)

Memory

35.5MiB live, 35.5MiB allocated; 0ms collecting garbage

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ eps x) x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/2 binary64) (/.f64 (neg.f64 eps) x)) x))) (*.f64 x x)))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) #s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) #s(approx (* (sin x) -1/2) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) (cos.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/144 binary64))) #s(literal 1/24 binary64)) (.f64 eps eps))) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps #s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps #s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64))) eps) eps)))

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

Calls

3 calls:

10.0ms	x
10.0ms	eps
10.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes32.0ms (0.5%)

Memory

-11.4MiB live, 34.3MiB allocated; 3ms collecting garbage

Counts

41 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ eps x) x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/2 binary64) (/.f64 (neg.f64 eps) x)) x))) (*.f64 x x)))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) #s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) #s(approx (* (sin x) -1/2) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) (cos.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/144 binary64))) #s(literal 1/24 binary64)) (.f64 eps eps))) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps #s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) eps))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps #s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x (.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (sin.f64 eps)))

Outputs

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

Calls

3 calls:

11.0ms	eps
10.0ms	x
10.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes37.0ms (0.6%)

Memory

-20.0MiB live, 29.4MiB allocated; 21ms collecting garbage

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ eps x) x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/2 binary64) (/.f64 (neg.f64 eps) x)) x))) (*.f64 x x)))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) #s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) #s(approx (* (sin x) -1/2) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) (cos.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/144 binary64))) #s(literal 1/24 binary64)) (.f64 eps eps))) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))

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

Calls

3 calls:

19.0ms	x
8.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes24.0ms (0.4%)

Memory

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

Counts

31 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ eps x) x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/2 binary64) (/.f64 (neg.f64 eps) x)) x))) (*.f64 x x)))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) #s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(approx (+ (* (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) x) (* -1/6 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 #s(approx (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) #s(approx (* (sin x) -1/2) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x))) (cos.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 #s(approx (- (+ (* (+ (* (+ (* -1/144 (* eps eps)) 1/12) x) (* 1/12 eps)) x) (* (* eps eps) 1/24)) 1/2) (.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal -1/144 binary64))) #s(literal 1/24 binary64)) (.f64 eps eps))) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))

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

Calls

3 calls:

7.0ms	x
7.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes15.0ms (0.2%)

Memory

-29.6MiB live, 16.8MiB allocated; 1ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ eps x) x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 (/.f64 (fma.f64 (.f64 eps eps) #s(literal 1/2 binary64) (/.f64 (neg.f64 eps) x)) x))) (*.f64 x x)))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64)) eps (.f64 #s(literal -1/2 binary64) x)) eps (.f64 (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes10.0ms (0.2%)

Memory

21.7MiB live, 21.7MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(approx (+ (* (* -1/2 (+ (* eps x) (* eps eps))) x) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( eps x) (* eps eps)) (*.f64 eps x))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (+ (* x (+ (* (* (sin eps) x) -1/2) (- (cos eps) 1))) (sin eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ eps x) x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 eps x (.f64 eps eps))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))

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

Calls

3 calls:

3.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms	x
3.0ms	eps

Results

Accuracy	Segments	Branch
97.9%	1	`eps`
97.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.9%	1	`x`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms	x
3.0ms	eps

Results

Accuracy	Segments	Branch
97.9%	1	`x`
97.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

-34.5MiB live, 9.9MiB allocated; 4ms collecting garbage

Accuracy

Total -59.3b remaining (-3851%)

Threshold costs -59.3b (-3851%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

5.0ms	x
1.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
1.0ms	eps

Results

Accuracy	Segments	Branch
97.6%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.6%	1	`x`
97.6%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations252.0ms (4.1%)

Memory

29.1MiB live, 168.5MiB allocated; 26ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 113 to 73 computations (35.4% saved)

preprocess72.0ms (1.2%)

Memory: 15.8MiB live, 106.0MiB allocated; 11ms collecting garbage
Compiler: Compiled 156 to 112 computations (28.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze62.0ms (1%)

sample4.4s (71.5%)

preprocess83.0ms (1.3%)

series5.0ms (0.1%)

rewrite163.0ms (2.6%)

eval10.0ms (0.2%)

prune8.0ms (0.1%)

series52.0ms (0.8%)

rewrite166.0ms (2.7%)

eval72.0ms (1.2%)

prune21.0ms (0.3%)

series41.0ms (0.7%)

rewrite190.0ms (3.1%)

eval66.0ms (1.1%)

prune22.0ms (0.4%)

series32.0ms (0.5%)

rewrite174.0ms (2.8%)

eval45.0ms (0.7%)

prune29.0ms (0.5%)

regimes36.0ms (0.6%)

regimes33.0ms (0.5%)

regimes32.0ms (0.5%)

regimes37.0ms (0.6%)

regimes24.0ms (0.4%)

regimes15.0ms (0.2%)

regimes10.0ms (0.2%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

derivations252.0ms (4.1%)

preprocess72.0ms (1.2%)

end0.0ms (0%)

Profiling