Metrics for 2sin (example 3.3)

start0.0ms (0%)

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

analyze56.0ms (0.7%)

Memory

-14.2MiB live, 41.9MiB allocated; 31ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample5.3s (64.8%)

Memory

50.0MiB live, 5 850.1MiB allocated; 2.2s collecting garbage

Samples

2.9s	26 439×	0	invalid
794.0ms	5 556×	1	valid
205.0ms	2 700×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.7s

ival-sin: 989.0ms (36.3% of total)

ival-mult!: 567.0ms (20.8% of total)

ival-fabs: 516.0ms (18.9% of total)

ival-add!: 178.0ms (6.5% of total)

ival-<: 168.0ms (6.2% of total)

adjust: 142.0ms (5.2% of total)

ival-sub!: 91.0ms (3.3% of total)

ival-and: 64.0ms (2.3% of total)

ival-assert: 13.0ms (0.5% of total)

Bogosity

preprocess44.0ms (0.5%)

Memory

-15.8MiB live, 28.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	48
1	77	48
2	280	44
3	1610	44

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series4.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Counts

6 → 31

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) (* 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 (+ 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 (+ 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) (* 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 (+ 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	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	x	@	0	((- (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))

rewrite194.0ms (2.4%)

Memory

23.2MiB live, 254.2MiB allocated; 111ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	512
0	150	500
1	926	494
0	8448	463

Stop Event

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

Counts

37 → 100

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

eval13.0ms (0.2%)

Memory: -15.1MiB live, 30.0MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 085 to 371 computations (65.8% saved)

prune5.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	84	8	92
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	9	93

Accuracy

100.0%

Counts

93 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
▶	99.7%	(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
✓	61.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	60.1%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
	7.9%	(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
	61.4%	(.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))))
▶	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 172 to 168 computations (2.3% saved)

series28.0ms (0.3%)

Memory

9.2MiB live, 54.8MiB allocated; 6ms collecting garbage

Counts

28 → 113

Calls

Call 1

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

Outputs
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* -1 (* x (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* -1/2 (* x (sin eps))) (+ 1 (* -1 (cos eps))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (* x (+ (* -1/2 (sin eps)) (* x (- 1/6 (* 1/6 (cos eps)))))) (+ 1 (* -1 (cos eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* -1/2 (* (pow x 2) (sin eps))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* 1/24 (* (pow x 2) (sin eps))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (+ (* -1/2 (sin eps)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (sin eps))) (* 1/24 (sin 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 (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (cos eps))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (* 1/6 (cos eps)) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (* -1/120 (cos eps))))) 1/6)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (* x (+ 1 (+ (* -1 (cos eps)) (* (pow x 2) (- (+ (* 1/6 (cos eps)) (* (pow x 2) (+ 1/120 (+ (* -1/120 (cos eps)) (* (pow x 2) (- (* 1/5040 (cos eps)) 1/5040)))))) 1/6)))))))
#s(approx (neg (sin x)) #s(hole binary64 (* -1 x)))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* 1/6 (pow x 2)) 1))))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))))
#s(approx (neg (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))))
#s(approx (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 (- (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) (* 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 x) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (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 (* -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 (* -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) #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 (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (cos eps) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (cos eps))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* -1/6 (* (pow x 2) (cos eps)))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* 1/120 (* (pow x 2) (cos eps)))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* x (+ (cos eps) (* (pow x 2) (+ (* -1/6 (cos eps)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (cos eps))) (* 1/120 (cos eps))))))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* (cos x) (sin eps)) (+ (sin x) (* -1 (* (cos eps) (sin x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* (cos x) (sin eps))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (* (cos eps) (sin x))))))
#s(approx (neg (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#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 (+ 1 (/ eps x)))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#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 (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (- (* (cos eps) (sin x)) (sin x))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (* (cos eps) (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 (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (* -1 (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (cos x)) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* -1/2 (* eps (sin x))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) #s(hole binary64 (- (* eps (+ (cos x) (* eps (- (* -1/6 (* eps (cos x))) (* 1/2 (sin x)))))) (+ (sin x) (* -1 (sin x))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (cos x))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/6 (* (pow eps 2) (cos x)))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* 1/120 (* (pow eps 2) (cos x)))))))))
#s(approx (* (cos x) (sin eps)) #s(hole binary64 (* eps (+ (cos x) (* (pow eps 2) (+ (* -1/6 (cos x)) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) (cos x))) (* 1/120 (cos x))))))))))
#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 (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (sin x)))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* 1/2 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/24 (* (pow eps 2) (sin x))) (* 1/2 (sin x))))))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) #s(hole binary64 (+ (sin x) (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/2 (sin x)) (* (pow eps 2) (+ (* -1/24 (sin x)) (* 1/720 (* (pow eps 2) (sin x)))))))))))
#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 (- (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) (* 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 (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* -1/2 (* (pow eps 2) (sin x))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))))
#s(approx (* (cos eps) (sin x)) #s(hole binary64 (+ (sin x) (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))))
#s(approx (cos eps) #s(hole binary64 (cos 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 (* (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 (- (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)))))
#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
7.0ms	x	@	-inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (neg (sin x)) (sin x) (cos eps) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* 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) -1/2 (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)))
5.0ms	eps	@	-inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (neg (sin x)) (sin x) (cos eps) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* 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) -1/2 (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)))
5.0ms	x	@	inf	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (neg (sin x)) (sin x) (cos eps) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* 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) -1/2 (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)))
3.0ms	x	@	0	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (neg (sin x)) (sin x) (cos eps) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* 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) -1/2 (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)))
3.0ms	eps	@	0	((- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (* (cos x) (sin eps)) (cos x) x (sin eps) eps (+ (* (neg (sin x)) (cos eps)) (sin x)) (neg (sin x)) (sin x) (cos eps) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* 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) -1/2 (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)))

rewrite252.0ms (3.1%)

Memory

11.5MiB live, 231.4MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	556	2527
0	596	2376
1	3651	2376
0	8155	2259

Stop Event

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

Counts

141 → 298

Calls

Call 1

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

Outputs
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 eps (neg.f64 x)) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (-.f64 eps (neg.f64 x)) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))))
(/.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 (neg.f64 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 (-.f64 eps (neg.f64 x))) (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (-.f64 eps (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (-.f64 eps (neg.f64 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 (-.f64 eps (neg.f64 x))) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64))) (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (neg.f64 (sin.f64 x)) (cos.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 (neg.f64 x)))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (-.f64 eps (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (-.f64 eps (neg.f64 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 (-.f64 eps (neg.f64 x))) (sin.f64 x)))))
(-.f64 (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(/.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x)))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 eps (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 eps (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) eps)) (cos.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) eps))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 (+.f64 eps (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
(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
(sin.f64 eps)
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 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sin.f64 x) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #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 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (sin.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (sin.f64 x) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 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) x)))) (.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.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) x)))) (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (sin.f64 x) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #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 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (sin.f64 x)))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 x)) (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) x)))) (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (sin.f64 x) (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 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) x)))) (.f64 (.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (sin.f64 x)))))
(fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x))
(fma.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal -1 binary64) (sin.f64 x))
(fma.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x) (sin.f64 x))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)) (sin.f64 x))
(-.f64 (sin.f64 x) (.f64 #s(literal 1 binary64) (.f64 (cos.f64 eps) (sin.f64 x))))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (sin.f64 x))
(+.f64 (sin.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))
(*.f64 #s(literal -1 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal -1 binary64))
(neg.f64 (sin.f64 x))
(sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 x))
(sin.f64 (+.f64 x (PI.f64)))
(fma.f64 (sin.f64 x) (cos.f64 (PI.f64)) (*.f64 (cos.f64 x) (sin.f64 (PI.f64))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (sin.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (.f64 (sin.f64 x) (cos.f64 (PI.f64))) (.f64 (cos.f64 x) (sin.f64 (PI.f64))))
(sin.f64 x)
(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 eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin.f64 eps))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))) (neg.f64 (+.f64 (sin.f64 (+.f64 eps x)) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (fma.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (.f64 (sin.f64 (+.f64 eps x)) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))) (+.f64 (sin.f64 (+.f64 eps x)) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #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) (+.f64 eps x))))) (fma.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) (.f64 (sin.f64 (+.f64 eps x)) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))))
(-.f64 (sin.f64 (+.f64 eps x)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (-.f64 x eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64))) (sin.f64 (-.f64 x eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(sin.f64 (+.f64 eps x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x)))
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(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
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(+.f64 eps x)
(+.f64 x eps)
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(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
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(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
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(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
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(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))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
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(.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 eps (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(fma.f64 (cos.f64 x) eps (.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))))
(fma.f64 eps (cos.f64 x) (.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))))
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(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))
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(*.f64 (sin.f64 x) eps)
(*.f64 eps (sin.f64 x))
#s(literal -1/2 binary64)
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(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
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(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
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(/.f64 (+.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 (+.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (sin.f64 eps))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (fma.f64 (neg.f64 x) (+.f64 (neg.f64 (cos.f64 eps)) #s(literal 1 binary64)) (sin.f64 eps)))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (fma.f64 x (-.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (cos.f64 eps))) (sin.f64 eps)))
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#s(approx (* (cos x) (sin eps)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (sin.f64 eps) (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (fma.f64 (fma.f64 (.f64 (.f64 x x) (sin.f64 eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (.f64 x x) (sin.f64 eps)))
#s(approx (* (cos x) (sin eps)) (fma.f64 (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 eps) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)) (sin.f64 eps))) (.f64 x x))) (.f64 x x) (sin.f64 eps)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (*.f64 (+.f64 (neg.f64 (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 eps)) #s(literal 1/6 binary64)) (*.f64 x x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64)) x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (.f64 x (+.f64 (fma.f64 (fma.f64 (cos.f64 eps) #s(literal 1/6 binary64) (-.f64 (.f64 (fma.f64 (cos.f64 eps) #s(literal -1/120 binary64) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64))) (.f64 x x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (cos.f64 eps) #s(literal -1/120 binary64) #s(literal 1/120 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/5040 binary64) (cos.f64 eps)) #s(literal 1/5040 binary64)) (.f64 x x))) (.f64 x x) (.f64 #s(literal 1/6 binary64) (cos.f64 eps))) #s(literal 1/6 binary64)) (*.f64 x x) (neg.f64 (cos.f64 eps))) #s(literal 1 binary64)) x))
#s(approx (neg (sin x)) (neg.f64 x))
#s(approx (neg (sin x)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
#s(approx (neg (sin x)) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (neg (sin x)) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (fma.f64 x (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (sin.f64 eps)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (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 (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) -1/6) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#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 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.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)) (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 #s(literal 1/12 binary64) (.f64 eps x)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 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 (.f64 (.f64 x x) eps) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) eps)) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (*.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (.f64 x x) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 x (-.f64 (fma.f64 (+.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 eps)) #s(literal 1/120 binary64)) (.f64 x x))) (*.f64 x x) (cos.f64 eps)) #s(literal 1 binary64))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 (cos.f64 eps) #s(literal 1/120 binary64) (-.f64 (.f64 (fma.f64 (cos.f64 eps) #s(literal -1/5040 binary64) #s(literal 1/5040 binary64)) (.f64 x x)) #s(literal 1/120 binary64))) (.f64 x x))) (.f64 x x) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (* (cos eps) (sin x)) (*.f64 (cos.f64 eps) x))
#s(approx (* (cos eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) (cos.f64 eps)) #s(literal -1/6 binary64) (cos.f64 eps)) x))
#s(approx (* (cos eps) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) (cos.f64 eps)) #s(literal 1/120 binary64) (.f64 (cos.f64 eps) #s(literal -1/6 binary64))) (*.f64 x x) (cos.f64 eps)) x))
#s(approx (* (cos eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) (cos.f64 eps)) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) (cos.f64 eps))) (.f64 x x) (.f64 (cos.f64 eps) #s(literal -1/6 binary64))) (*.f64 x x) (cos.f64 eps)) x))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (* (cos x) (sin eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
#s(approx (neg (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (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 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* x x) -1/6) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (+ (* (* x x) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.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 (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
#s(approx (* (cos eps) (sin x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (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 (* (+ (* (* x x) -1/6) 1) x) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (neg.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal 0 binary64) (sin.f64 x))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 #s(literal 0 binary64) (sin.f64 x))))
#s(approx (- (* (cos x) (sin eps)) (+ (* (neg (sin x)) (cos eps)) (sin x))) (-.f64 (.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 #s(literal 0 binary64) (sin.f64 x))))
#s(approx (* (cos x) (sin eps)) (*.f64 (cos.f64 x) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) (cos.f64 x) (cos.f64 x)) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) (cos.f64 x) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 eps eps) (cos.f64 x)) eps))
#s(approx (* (cos x) (sin eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/5040 binary64)) (cos.f64 x) (.f64 #s(literal 1/120 binary64) (cos.f64 x))) (.f64 eps eps) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 eps eps) (cos.f64 x)) 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 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (sin.f64 x))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal -1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/2 binary64))) (*.f64 eps eps))))
#s(approx (+ (* (neg (sin x)) (cos eps)) (sin x)) (fma.f64 #s(literal 0 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 eps eps)) (sin.f64 x))) (.f64 eps eps))) (*.f64 eps eps))))
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (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 eps) (cos x)) (- (* (cos eps) (sin x)) (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)) (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 (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps))) (*.f64 eps eps)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps)))
#s(approx (* (cos eps) (sin x)) (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal -1/2 binary64) (sin.f64 x)))
#s(approx (* (cos eps) (sin x)) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps) (sin.f64 x)))
#s(approx (* (cos eps) (sin x)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps))) (.f64 eps eps) (sin.f64 x)))
#s(approx (cos eps) (cos.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 (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 (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#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)))))

eval52.0ms (0.6%)

Memory: 3.0MiB live, 101.4MiB allocated; 29ms collecting garbage
Compiler: Compiled 3 901 to 1 412 computations (63.8% saved)

prune19.0ms (0.2%)

Memory

7.5MiB live, 50.4MiB allocated; 10ms collecting garbage

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	308	12	320
Fresh	0	3	3
Picked	3	2	5
Done	0	1	1
Total	311	18	329

Accuracy

100.0%

Counts

329 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (.f64 #s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)) (sin.f64 x)))
▶	99.8%	(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))))
	99.4%	(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) #s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)))
✓	61.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	60.1%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
✓	60.1%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
	7.9%	(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
	61.4%	(.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))))
	99.4%	#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)))
✓	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 eps x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	98.2%	#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))
	98.0%	#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) eps) x #s(literal 1 binary64))) eps))
▶	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))

Compiler

Compiled 567 to 523 computations (7.8% saved)

series98.0ms (1.2%)

Memory

-65.7MiB live, 114.7MiB allocated; 35ms collecting garbage

Counts

49 → 159

Calls

Call 1

Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))))
(sin.f64 eps)
eps
(cos.f64 x)
x
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (*.f64 eps eps)))
#s(literal -1/2 binary64)
(sin.f64 x)
(.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (*.f64 eps eps))
(fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 eps eps)))
#s(literal 1/24 binary64)
(.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 eps eps))
(fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (*.f64 (sin.f64 x) #s(literal -1/720 binary64)))
(.f64 (.f64 eps eps) (sin.f64 x))
(*.f64 eps eps)
#s(literal 1/40320 binary64)
(*.f64 (sin.f64 x) #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #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 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)
(fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x)) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 #s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x)) #s(literal -1/2 binary64) (cos.f64 x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x))
(.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x)
(fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/6 binary64) eps)
(.f64 (.f64 x x) eps)
(*.f64 x x)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps)
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))
(.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)

Outputs
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (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) #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 (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (cos eps) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240))) (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240))))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240)))))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))))) 1/240)))))) 1/2))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))) (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))) (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))) 1/144)))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ 1/2880 (+ (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)) (* (pow x 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960)))))) 1/144)))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* 1/40320 (pow eps 2)) 1/720)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/4320 (* -1/241920 (pow eps 2))))) (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/4838400 (pow eps 2)) 1/86400))) (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2))))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/3628800 (* -1/203212800 (pow eps 2))))) (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (* 1/40320 (pow eps 2)) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (* -1/241920 (pow eps 2))))) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (+ (* -1/241920 (pow eps 2)) (* (pow x 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))))) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (+ (* -1/241920 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4838400 (pow eps 2)) (* (pow x 2) (+ 1/3628800 (* -1/203212800 (pow eps 2))))) 1/86400)))))) 1/720))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* -1/6 (* (pow eps 2) (pow x 2))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* 1/120 (* (pow eps 2) (pow x 2))))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/5040 (* (pow eps 2) (pow x 2))) (* 1/120 (pow eps 2)))))) (pow eps 2)))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* -1/720 x)))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* 1/4320 (pow x 2)) 1/720))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4320 (* -1/86400 (pow x 2)))) 1/720))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4320 (* (pow x 2) (- (* 1/3628800 (pow x 2)) 1/86400)))) 1/720))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (* (+ (* (* (sin x) 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 (* -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) #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 (+ (* (* (* x x) eps) -1/6) eps) #s(hole binary64 (+ eps (* -1/6 (* eps (pow x 2))))))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow x 2)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (- (* (cos eps) (sin x)) (sin x))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) (sin x))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* -1/720 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#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 (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (* (+ (* (* (* x x) eps) -1/6) eps) x) #s(hole binary64 (* -1/6 (* eps (pow x 3)))))
#s(approx (* (+ (* (* (* x x) eps) -1/6) eps) x) #s(hole binary64 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2))))))
#s(approx (+ (* (* (* x x) eps) -1/6) eps) #s(hole binary64 (* -1/6 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) -1/6) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/6 eps) (/ eps (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1/5040 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* -1/5040 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* -1/5040 (pow x 4))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* -1/5040 (pow x 2))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (* (+ (* (* (* x x) eps) -1/6) eps) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (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 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 (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* -1/720 (* (pow eps 2) (sin x)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (* (+ (* (* (* x x) eps) -1/6) eps) x) #s(hole binary64 (* eps (* x (+ 1 (* -1/6 (pow x 2)))))))
#s(approx (+ (* (* (* x x) eps) -1/6) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* 1/40320 (* (pow eps 8) (sin x)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/2 (/ (sin x) (pow eps 6))) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4)))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* 1/40320 (* (pow eps 6) (sin x)))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 6))) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4)))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* 1/40320 (* (pow eps 4) (sin x)))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* 1/40320 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) #s(hole binary64 (* -1/6 (pow eps 3))))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) #s(hole binary64 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))))
#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 (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (* (+ (* (* (* x x) eps) -1/6) eps) x) #s(hole binary64 (* -1 (* eps (* x (- (* 1/6 (pow x 2)) 1))))))
#s(approx (+ (* (* (* x x) eps) -1/6) eps) #s(hole binary64 (* -1 (* eps (- (* 1/6 (pow x 2)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
52.0ms	eps	@	0	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) -1/2 (sin x) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) 1/24 (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* (* eps eps) (sin x)) (* eps eps) 1/40320 (* (sin x) -1/720) -1/720 (- (sin (+ x eps)) (sin x)) (sin eps) (* (+ (* (* eps eps) -1/6) 1) eps) (+ (* (* eps eps) -1/6) 1) -1/6 1 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (* (+ (* (* (* x x) eps) -1/6) eps) x) (+ (* (* (* x x) eps) -1/6) eps) (* (* 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)) (* (sin x) eps) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6)
10.0ms	eps	@	inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) -1/2 (sin x) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) 1/24 (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* (* eps eps) (sin x)) (* eps eps) 1/40320 (* (sin x) -1/720) -1/720 (- (sin (+ x eps)) (sin x)) (sin eps) (* (+ (* (* eps eps) -1/6) 1) eps) (+ (* (* eps eps) -1/6) 1) -1/6 1 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (* (+ (* (* (* x x) eps) -1/6) eps) x) (+ (* (* (* x x) eps) -1/6) eps) (* (* 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)) (* (sin x) eps) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6)
8.0ms	x	@	0	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) -1/2 (sin x) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) 1/24 (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* (* eps eps) (sin x)) (* eps eps) 1/40320 (* (sin x) -1/720) -1/720 (- (sin (+ x eps)) (sin x)) (sin eps) (* (+ (* (* eps eps) -1/6) 1) eps) (+ (* (* eps eps) -1/6) 1) -1/6 1 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (* (+ (* (* (* x x) eps) -1/6) eps) x) (+ (* (* (* x x) eps) -1/6) eps) (* (* 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)) (* (sin x) eps) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6)
7.0ms	x	@	inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) -1/2 (sin x) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) 1/24 (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* (* eps eps) (sin x)) (* eps eps) 1/40320 (* (sin x) -1/720) -1/720 (- (sin (+ x eps)) (sin x)) (sin eps) (* (+ (* (* eps eps) -1/6) 1) eps) (+ (* (* eps eps) -1/6) 1) -1/6 1 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (* (+ (* (* (* x x) eps) -1/6) eps) x) (+ (* (* (* x x) eps) -1/6) eps) (* (* 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)) (* (sin x) eps) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6)
7.0ms	x	@	-inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) -1/2 (sin x) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) 1/24 (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* (* eps eps) (sin x)) (* eps eps) 1/40320 (* (sin x) -1/720) -1/720 (- (sin (+ x eps)) (sin x)) (sin eps) (* (+ (* (* eps eps) -1/6) 1) eps) (+ (* (* eps eps) -1/6) 1) -1/6 1 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (* (+ (* (* (* x x) eps) -1/6) eps) x) (+ (* (* (* x x) eps) -1/6) eps) (* (* 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)) (* (sin x) eps) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6)

rewrite284.0ms (3.5%)

Memory

45.6MiB live, 378.7MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	744	5814
0	819	5641
1	4569	5641
0	9248	5448

Stop Event

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

Counts

208 → 414

Calls

Call 1

Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))))
(sin.f64 eps)
eps
(cos.f64 x)
x
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (*.f64 eps eps)))
#s(literal -1/2 binary64)
(sin.f64 x)
(.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (*.f64 eps eps))
(fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 eps eps)))
#s(literal 1/24 binary64)
(.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 eps eps))
(fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (*.f64 (sin.f64 x) #s(literal -1/720 binary64)))
(.f64 (.f64 eps eps) (sin.f64 x))
(*.f64 eps eps)
#s(literal 1/40320 binary64)
(*.f64 (sin.f64 x) #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #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 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)
(fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x)) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 #s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x)) #s(literal -1/2 binary64) (cos.f64 x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x))
(.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x)
(fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/6 binary64) eps)
(.f64 (.f64 x x) eps)
(*.f64 x x)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x))
(.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps)
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))
(.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (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) #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 (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (cos eps) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240))) (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240))))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240)))))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))))) 1/240)))))) 1/2))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))) (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))) (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))) 1/144)))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ 1/2880 (+ (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)) (* (pow x 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960)))))) 1/144)))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* 1/40320 (pow eps 2)) 1/720)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/4320 (* -1/241920 (pow eps 2))))) (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/4838400 (pow eps 2)) 1/86400))) (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2))))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/3628800 (* -1/203212800 (pow eps 2))))) (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (* 1/40320 (pow eps 2)) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (* -1/241920 (pow eps 2))))) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (+ (* -1/241920 (pow eps 2)) (* (pow x 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))))) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (+ (* -1/241920 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4838400 (pow eps 2)) (* (pow x 2) (+ 1/3628800 (* -1/203212800 (pow eps 2))))) 1/86400)))))) 1/720))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* -1/6 (* (pow eps 2) (pow x 2))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* 1/120 (* (pow eps 2) (pow x 2))))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/5040 (* (pow eps 2) (pow x 2))) (* 1/120 (pow eps 2)))))) (pow eps 2)))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* -1/720 x)))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* 1/4320 (pow x 2)) 1/720))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4320 (* -1/86400 (pow x 2)))) 1/720))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4320 (* (pow x 2) (- (* 1/3628800 (pow x 2)) 1/86400)))) 1/720))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (* (+ (* (* (sin x) 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 (* -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) #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 (+ (* (* (* x x) eps) -1/6) eps) #s(hole binary64 (+ eps (* -1/6 (* eps (pow x 2))))))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow x 2)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (- (* (cos eps) (sin x)) (sin x))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) (sin x))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* -1/720 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#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 (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (* (+ (* (* (* x x) eps) -1/6) eps) x) #s(hole binary64 (* -1/6 (* eps (pow x 3)))))
#s(approx (* (+ (* (* (* x x) eps) -1/6) eps) x) #s(hole binary64 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2))))))
#s(approx (+ (* (* (* x x) eps) -1/6) eps) #s(hole binary64 (* -1/6 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) -1/6) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/6 eps) (/ eps (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1/5040 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* -1/5040 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* -1/5040 (pow x 4))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* -1/5040 (pow x 2))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (* (+ (* (* (* x x) eps) -1/6) eps) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (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 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 (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* -1/720 (* (pow eps 2) (sin x)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (* (+ (* (* (* x x) eps) -1/6) eps) x) #s(hole binary64 (* eps (* x (+ 1 (* -1/6 (pow x 2)))))))
#s(approx (+ (* (* (* x x) eps) -1/6) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* 1/40320 (* (pow eps 8) (sin x)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/2 (/ (sin x) (pow eps 6))) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4)))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* 1/40320 (* (pow eps 6) (sin x)))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 6))) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4)))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* 1/40320 (* (pow eps 4) (sin x)))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* 1/40320 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) #s(hole binary64 (* -1/6 (pow eps 3))))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) #s(hole binary64 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (* (* eps eps) -1/6) 1) #s(hole binary64 (* (pow eps 2) (- (/ 1 (pow eps 2)) 1/6))))
#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 (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (* (+ (* (* (* x x) eps) -1/6) eps) x) #s(hole binary64 (* -1 (* eps (* x (- (* 1/6 (pow x 2)) 1))))))
#s(approx (+ (* (* (* x x) eps) -1/6) eps) #s(hole binary64 (* -1 (* eps (- (* 1/6 (pow x 2)) 1)))))

Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))))))))
(fma.f64 (cos.f64 x) (sin.f64 eps) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
(+.f64 #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))) (.f64 (cos.f64 x) (sin.f64 eps)))
(sin.f64 eps)
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
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))))
(.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps) eps)
(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))
(fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))))
(fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps 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 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps))))
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#s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- (* (cos eps) (sin x)) (sin x)) (*.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (.f64 x x) (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 x (-.f64 (fma.f64 (+.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 eps)) #s(literal 1/120 binary64)) (.f64 x x))) (*.f64 x x) (cos.f64 eps)) #s(literal 1 binary64))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 (cos.f64 eps) #s(literal 1/120 binary64) (-.f64 (.f64 (fma.f64 (cos.f64 eps) #s(literal -1/5040 binary64) #s(literal 1/5040 binary64)) (.f64 x x)) #s(literal 1/120 binary64))) (.f64 x x))) (.f64 x x) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 x x) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)))) x))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps) (.f64 (.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 eps eps)) #s(literal 1/240 binary64)) (.f64 x x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps) #s(literal 1/12 binary64)))) (*.f64 x x))) x))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 eps eps) (.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 eps eps)) #s(literal 1/120960 binary64)) (.f64 eps eps) #s(literal 1/10080 binary64)) (.f64 x x) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 eps eps)) #s(literal 1/240 binary64)))) (.f64 x x))) (.f64 x x) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))) x))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 x x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps))) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 eps eps)) #s(literal 1/240 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps))) #s(literal 1/12 binary64)) (.f64 x x))) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 eps eps)) #s(literal 1/120960 binary64)) (.f64 eps eps) #s(literal 1/10080 binary64)) (.f64 x x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 eps eps))) #s(literal 1/240 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps))) #s(literal 1/12 binary64)) (.f64 x x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps))) #s(literal 1/2 binary64)) 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 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) x) (.f64 eps eps)))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 x x) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)))) x))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 x x) (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)))) (.f64 x x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps))) x))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 eps eps)) #s(literal 1/120960 binary64)) (.f64 x x) (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)))) (.f64 x x) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps))) (.f64 x x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps))) x))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) x))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (*.f64 eps eps))) #s(literal 1/24 binary64)) x))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 x x)) #s(literal 1/144 binary64))) (*.f64 x x))) x))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 eps eps)) #s(literal 1/120960 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps))) #s(literal 1/2880 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps))) #s(literal 1/144 binary64)) (.f64 x x))) x))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 x x) (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)))) x))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 x x) (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)))) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps))) x))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 x x) (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)))) (.f64 x x) (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps))) (.f64 x x) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps))) x))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) x))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (*.f64 x x)) #s(literal 1/720 binary64))) x))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 x x) (.f64 #s(literal -1/241920 binary64) (.f64 eps eps))) #s(literal 1/4320 binary64)) (.f64 x x) (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64))) #s(literal 1/720 binary64)) x))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/4838400 binary64) (.f64 eps eps) (-.f64 (.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 x x)) #s(literal 1/86400 binary64))) (.f64 x x) (.f64 #s(literal -1/241920 binary64) (.f64 eps eps))) #s(literal 1/4320 binary64)) (.f64 x x) (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64))) #s(literal 1/720 binary64)) x))
#s(approx (* (* eps eps) (sin x)) (.f64 (.f64 eps eps) x))
#s(approx (* (* eps eps) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 x x) (*.f64 eps eps)) x))
#s(approx (* (* eps eps) (sin x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 eps eps)) x))
#s(approx (* (* eps eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/5040 binary64)) (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/120 binary64))) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x x) (*.f64 eps eps)) x))
#s(approx (* (sin x) -1/720) (*.f64 #s(literal -1/720 binary64) x))
#s(approx (* (sin x) -1/720) (.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) x))
#s(approx (* (sin x) -1/720) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/86400 binary64) (.f64 x x) #s(literal 1/4320 binary64)) (.f64 x x)) #s(literal 1/720 binary64)) x))
#s(approx (* (sin x) -1/720) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3628800 binary64) (.f64 x x)) #s(literal 1/86400 binary64)) (.f64 x x) #s(literal 1/4320 binary64)) (.f64 x x)) #s(literal 1/720 binary64)) x))
#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (+ (* (* (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 x eps (.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)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x eps) #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 (* (sin x) eps) (*.f64 x eps))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) eps) (*.f64 x x) 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 (.f64 (.f64 x x) eps) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) eps)) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (+ (* (* (* x x) eps) -1/6) eps) (fma.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 x x) eps))
#s(approx (* (* x x) eps) (.f64 (.f64 x x) eps))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
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#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64))
#s(approx (+ (* -1/5040 (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
#s(approx (cos x) (cos.f64 x))
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#s(approx (sin x) (sin.f64 x))
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#s(approx (* (* eps eps) (sin x)) (.f64 eps (.f64 (sin.f64 x) eps)))
#s(approx (* (sin x) -1/720) (*.f64 (sin.f64 x) #s(literal -1/720 binary64)))
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#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
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#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
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#s(approx (+ (* -1/5040 (* x x)) 1/120) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))
#s(approx (+ (* -1/5040 (* x x)) 1/120) (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (*.f64 x x)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (* (+ (* (* (* x x) eps) -1/6) eps) x) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (neg.f64 eps) (.f64 x x)))))
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#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (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 eps) (cos x)) (- (* (cos eps) (sin x)) (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))
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#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))
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#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps (*.f64 (sin.f64 x) eps)) #s(literal -1/2 binary64)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
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#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
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#s(approx (* eps eps) (*.f64 eps eps))
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#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (.f64 (pow.f64 eps #s(literal 8 binary64)) (sin.f64 x)) #s(literal 1/40320 binary64)))
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#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64)))) (pow.f64 eps #s(literal 8 binary64))))
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#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (.f64 #s(literal 1/40320 binary64) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (*.f64 eps eps) eps))) (sin.f64 x)))
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#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/40320 binary64))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64)))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) (sin.f64 x)) #s(literal 1/40320 binary64)))
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#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64)))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (.f64 eps (*.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64)))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64))) (.f64 eps eps)))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) (.f64 (.f64 (*.f64 eps eps) eps) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* (* eps eps) -1/6) 1) (.f64 (.f64 eps eps) #s(literal -1/6 binary64)))
#s(approx (+ (* (* eps eps) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps)))
#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 (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (* (+ (* (* eps eps) -1/6) 1) eps) (.f64 (.f64 (neg.f64 eps) (.f64 eps eps)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.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 (* (+ (* (* (* x x) eps) -1/6) eps) x) (.f64 (neg.f64 eps) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)))
#s(approx (+ (* (* (* x x) eps) -1/6) eps) (.f64 (neg.f64 eps) (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))))

eval254.0ms (3.1%)

Memory: 17.2MiB live, 218.2MiB allocated; 110ms collecting garbage
Compiler: Compiled 8 483 to 3 132 computations (63.1% saved)

prune38.0ms (0.5%)

Memory

-5.4MiB live, 41.5MiB allocated; 2ms collecting garbage

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	439	12	451
Fresh	4	6	10
Picked	1	4	5
Done	0	3	3
Total	444	25	469

Accuracy

100.0%

Counts

469 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (.f64 #s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)) (sin.f64 x)))
▶	99.7%	(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 x) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))))
	99.4%	(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) #s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)))
✓	61.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	60.1%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
✓	60.1%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
▶	7.9%	(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
	61.4%	(.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))))
	99.4%	#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)))
✓	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
✓	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
✓	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
✓	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
▶	98.2%	#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 x eps)) x #s(literal 1 binary64))) eps))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
▶	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) eps))
✓	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
	5.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) #s(approx (* (+ (* (* eps eps) -1/6) 1) eps) (.f64 (.f64 (*.f64 eps eps) eps) #s(literal -1/6 binary64)))))

Compiler

Compiled 765 to 711 computations (7.1% saved)

series44.0ms (0.5%)

Memory

9.0MiB live, 55.8MiB allocated; 3ms collecting garbage

Counts

47 → 181

Calls

Call 1

Inputs
(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 x) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 eps eps)) #s(literal 1/6 binary64))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 eps eps))
(fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 eps eps)
eps
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(cos.f64 x)
x
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (*.f64 eps eps)))
#s(literal -1/2 binary64)
(sin.f64 x)
(.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (*.f64 eps eps))
(fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 eps eps)))
#s(literal 1/24 binary64)
(.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 eps eps))
(fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (*.f64 (sin.f64 x) #s(literal -1/720 binary64)))
(.f64 (.f64 eps eps) (sin.f64 x))
#s(literal 1/40320 binary64)
(*.f64 (sin.f64 x) #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) eps))
#s(approx (* (cos x) eps) 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 x eps)) 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 x eps)) x #s(literal 1 binary64))) eps)
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (+.f64 x eps))
(+.f64 x eps)
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
(*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps)
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
(sin.f64 #s(approx (+ x eps) eps))
#s(approx (+ x eps) eps)

Outputs
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (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) #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 (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (cos eps) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240))) (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240))))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240)))))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))))) 1/240)))))) 1/2))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))) (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))) (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))) 1/144)))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ 1/2880 (+ (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)) (* (pow x 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960)))))) 1/144)))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* 1/40320 (pow eps 2)) 1/720)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/4320 (* -1/241920 (pow eps 2))))) (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/4838400 (pow eps 2)) 1/86400))) (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2))))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/3628800 (* -1/203212800 (pow eps 2))))) (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (* 1/40320 (pow eps 2)) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (* -1/241920 (pow eps 2))))) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (+ (* -1/241920 (pow eps 2)) (* (pow x 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))))) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (+ (* -1/241920 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4838400 (pow eps 2)) (* (pow x 2) (+ 1/3628800 (* -1/203212800 (pow eps 2))))) 1/86400)))))) 1/720))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* -1/6 (* (pow eps 2) (pow x 2))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* 1/120 (* (pow eps 2) (pow x 2))))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/5040 (* (pow eps 2) (pow x 2))) (* 1/120 (pow eps 2)))))) (pow eps 2)))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* -1/720 x)))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* 1/4320 (pow x 2)) 1/720))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4320 (* -1/86400 (pow x 2)))) 1/720))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4320 (* (pow x 2) (- (* 1/3628800 (pow x 2)) 1/86400)))) 1/720))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (* (+ (* (* (sin x) 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 (* -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 (+ x eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (+ (* -1/2 eps) (* -1/2 x))))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* (sin (+ x (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (* 1/2 (PI))))))
#s(approx (* (sin (+ x (/ (PI) 2))) eps) #s(hole binary64 (+ (* eps (sin (* 1/2 (PI)))) (* eps (* x (cos (* 1/2 (PI))))))))
#s(approx (* (sin (+ x (/ (PI) 2))) eps) #s(hole binary64 (+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1/2 (* eps (* x (sin (* 1/2 (PI)))))) (* eps (cos (* 1/2 (PI)))))))))
#s(approx (* (sin (+ x (/ (PI) 2))) eps) #s(hole binary64 (+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* eps (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (* eps (sin (* 1/2 (PI))))) (* -1/6 (* eps (* x (cos (* 1/2 (PI)))))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#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 (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (- (* (cos eps) (sin x)) (sin x))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) (sin x))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* -1/720 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#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 (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* x (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (sin (+ x (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (+ x (* 1/2 (PI)))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (+ eps x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* -1 (* x (+ 1/2 (* 1/2 (/ eps x)))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (sin (+ x (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (- (* 1/2 (PI)) (* -1 x))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 x)))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- eps (* -1 x)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (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 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 (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))))
#s(approx (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) #s(hole binary64 (- (* 1/120 (pow eps 2)) 1/6)))
#s(approx (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) #s(hole binary64 (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))
#s(approx (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) #s(hole binary64 (* 1/120 (pow eps 2))))
#s(approx (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2))))))
#s(approx (+ (* (* eps eps) -1/5040) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* (* eps eps) -1/5040) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* -1/720 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))))
#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 eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* -1/5040 (pow eps 7))))
#s(approx (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))))
#s(approx (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))))
#s(approx (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (- (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/5040 (/ 1/6 (pow eps 4)))))))
#s(approx (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) #s(hole binary64 (* -1/5040 (pow eps 6))))
#s(approx (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))))
#s(approx (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))))
#s(approx (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/5040 (/ 1/6 (pow eps 4)))))))
#s(approx (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) #s(hole binary64 (* -1/5040 (pow eps 4))))
#s(approx (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) #s(hole binary64 (* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))))
#s(approx (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) #s(hole binary64 (* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))))
#s(approx (+ (* (* eps eps) -1/5040) 1/120) #s(hole binary64 (* -1/5040 (pow eps 2))))
#s(approx (+ (* (* eps eps) -1/5040) 1/120) #s(hole binary64 (* (pow eps 2) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* 1/40320 (* (pow eps 8) (sin x)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/2 (/ (sin x) (pow eps 6))) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4)))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* 1/40320 (* (pow eps 6) (sin x)))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 6))) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4)))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* 1/40320 (* (pow eps 4) (sin x)))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* 1/40320 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (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 (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* eps (- (* -1/2 (/ x eps)) 1/2))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (* 1/120 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin 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 (+ x eps)) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* 1/2 (/ x eps)))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- x (* -1 eps)))))

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	eps	@	inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) (+ (* (* eps eps) -1/5040) 1/120) (* eps eps) eps -1/5040 1/120 1/6 1 (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) -1/2 (sin x) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) 1/24 (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* (* eps eps) (sin x)) 1/40320 (* (sin x) -1/720) -1/720 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ x eps)) x) 1) (* -1/2 (+ x eps)) (+ x eps) (- (sin (+ x eps)) (sin x)) (* (sin (+ x (/ (PI) 2))) eps) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps))
6.0ms	eps	@	-inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) (+ (* (* eps eps) -1/5040) 1/120) (* eps eps) eps -1/5040 1/120 1/6 1 (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) -1/2 (sin x) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) 1/24 (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* (* eps eps) (sin x)) 1/40320 (* (sin x) -1/720) -1/720 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ x eps)) x) 1) (* -1/2 (+ x eps)) (+ x eps) (- (sin (+ x eps)) (sin x)) (* (sin (+ x (/ (PI) 2))) eps) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps))
4.0ms	eps	@	0	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) (+ (* (* eps eps) -1/5040) 1/120) (* eps eps) eps -1/5040 1/120 1/6 1 (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) -1/2 (sin x) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) 1/24 (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* (* eps eps) (sin x)) 1/40320 (* (sin x) -1/720) -1/720 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ x eps)) x) 1) (* -1/2 (+ x eps)) (+ x eps) (- (sin (+ x eps)) (sin x)) (* (sin (+ x (/ (PI) 2))) eps) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps))
4.0ms	x	@	-inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) (+ (* (* eps eps) -1/5040) 1/120) (* eps eps) eps -1/5040 1/120 1/6 1 (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) -1/2 (sin x) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) 1/24 (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* (* eps eps) (sin x)) 1/40320 (* (sin x) -1/720) -1/720 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ x eps)) x) 1) (* -1/2 (+ x eps)) (+ x eps) (- (sin (+ x eps)) (sin x)) (* (sin (+ x (/ (PI) 2))) eps) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps))
4.0ms	x	@	inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) (+ (* (* eps eps) -1/5040) 1/120) (* eps eps) eps -1/5040 1/120 1/6 1 (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) -1/2 (sin x) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) 1/24 (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* (* eps eps) (sin x)) 1/40320 (* (sin x) -1/720) -1/720 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ x eps)) x) 1) (* -1/2 (+ x eps)) (+ x eps) (- (sin (+ x eps)) (sin x)) (* (sin (+ x (/ (PI) 2))) eps) (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps))

rewrite231.0ms (2.8%)

Memory

-5.4MiB live, 280.5MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	827	6089
0	893	5846
1	5113	5846
0	8187	5623

Stop Event

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

Counts

228 → 379

Calls

Call 1

Inputs
(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 x) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 eps eps)) #s(literal 1/6 binary64))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 eps eps))
(fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 eps eps)
eps
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(cos.f64 x)
x
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (*.f64 eps eps)))
#s(literal -1/2 binary64)
(sin.f64 x)
(.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (*.f64 eps eps))
(fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 eps eps)))
#s(literal 1/24 binary64)
(.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 eps eps))
(fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (*.f64 (sin.f64 x) #s(literal -1/720 binary64)))
(.f64 (.f64 eps eps) (sin.f64 x))
#s(literal 1/40320 binary64)
(*.f64 (sin.f64 x) #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) eps))
#s(approx (* (cos x) eps) 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 x eps)) 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 x eps)) x #s(literal 1 binary64))) eps)
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (+.f64 x eps))
(+.f64 x eps)
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
(*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps)
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
(sin.f64 #s(approx (+ x eps) eps))
#s(approx (+ x eps) eps)
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (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) #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 (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (cos eps) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240))) (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240))))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240)))))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))))) 1/240)))))) 1/2))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))) (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))) (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))) 1/144)))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ 1/2880 (+ (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)) (* (pow x 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960)))))) 1/144)))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* 1/40320 (pow eps 2)) 1/720)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/4320 (* -1/241920 (pow eps 2))))) (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/4838400 (pow eps 2)) 1/86400))) (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2))))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/3628800 (* -1/203212800 (pow eps 2))))) (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (* 1/40320 (pow eps 2)) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (* -1/241920 (pow eps 2))))) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (+ (* -1/241920 (pow eps 2)) (* (pow x 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))))) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (+ (* -1/241920 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4838400 (pow eps 2)) (* (pow x 2) (+ 1/3628800 (* -1/203212800 (pow eps 2))))) 1/86400)))))) 1/720))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* -1/6 (* (pow eps 2) (pow x 2))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* 1/120 (* (pow eps 2) (pow x 2))))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/5040 (* (pow eps 2) (pow x 2))) (* 1/120 (pow eps 2)))))) (pow eps 2)))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* -1/720 x)))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* 1/4320 (pow x 2)) 1/720))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4320 (* -1/86400 (pow x 2)))) 1/720))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4320 (* (pow x 2) (- (* 1/3628800 (pow x 2)) 1/86400)))) 1/720))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (* (+ (* (* (sin x) 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 (* -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 (+ x eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (+ (* -1/2 eps) (* -1/2 x))))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* (sin (+ x (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (* 1/2 (PI))))))
#s(approx (* (sin (+ x (/ (PI) 2))) eps) #s(hole binary64 (+ (* eps (sin (* 1/2 (PI)))) (* eps (* x (cos (* 1/2 (PI))))))))
#s(approx (* (sin (+ x (/ (PI) 2))) eps) #s(hole binary64 (+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1/2 (* eps (* x (sin (* 1/2 (PI)))))) (* eps (cos (* 1/2 (PI)))))))))
#s(approx (* (sin (+ x (/ (PI) 2))) eps) #s(hole binary64 (+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* eps (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (* eps (sin (* 1/2 (PI))))) (* -1/6 (* eps (* x (cos (* 1/2 (PI)))))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#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 (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (- (* (cos eps) (sin x)) (sin x))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) (sin x))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* -1/720 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#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 (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps x)) (/ 1 (pow x 2))) 1/2))))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* -1/2 x)))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* x (- (* -1/2 (/ eps x)) 1/2))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (sin (+ x (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (+ x (* 1/2 (PI)))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (+ eps x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/2 eps) (/ 1 x)) x)) 1/2))))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* -1 (* x (+ 1/2 (* 1/2 (/ eps x)))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (sin (+ x (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (- (* 1/2 (PI)) (* -1 x))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 x)))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- eps (* -1 x)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (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 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 (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))))
#s(approx (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) #s(hole binary64 (- (* 1/120 (pow eps 2)) 1/6)))
#s(approx (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) #s(hole binary64 (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))
#s(approx (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) #s(hole binary64 (* 1/120 (pow eps 2))))
#s(approx (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2))))))
#s(approx (+ (* (* eps eps) -1/5040) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* (* eps eps) -1/5040) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow eps 2)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* -1/720 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))))
#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 eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* -1/5040 (pow eps 7))))
#s(approx (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))))
#s(approx (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))))
#s(approx (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (- (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/5040 (/ 1/6 (pow eps 4)))))))
#s(approx (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) #s(hole binary64 (* -1/5040 (pow eps 6))))
#s(approx (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))))
#s(approx (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))))
#s(approx (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/5040 (/ 1/6 (pow eps 4)))))))
#s(approx (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) #s(hole binary64 (* -1/5040 (pow eps 4))))
#s(approx (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) #s(hole binary64 (* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))))
#s(approx (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) #s(hole binary64 (* (pow eps 4) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))))
#s(approx (+ (* (* eps eps) -1/5040) 1/120) #s(hole binary64 (* -1/5040 (pow eps 2))))
#s(approx (+ (* (* eps eps) -1/5040) 1/120) #s(hole binary64 (* (pow eps 2) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* 1/40320 (* (pow eps 8) (sin x)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/2 (/ (sin x) (pow eps 6))) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4)))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* 1/40320 (* (pow eps 6) (sin x)))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 6))) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4)))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* 1/40320 (* (pow eps 4) (sin x)))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* 1/40320 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (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 (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (* eps (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* eps (- (* -1/2 (/ x eps)) 1/2))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (* 1/120 (/ 1 (pow eps 2))))))))
#s(approx (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin 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 (+ x eps)) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x))))))
#s(approx (* -1/2 (+ x eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* 1/2 (/ x eps)))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- x (* -1 eps)))))

Outputs
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#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 x x) (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)))) (.f64 x x) (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps))) (.f64 x x) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps))) x))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) x))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (*.f64 x x)) #s(literal 1/720 binary64))) x))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 x x) (.f64 #s(literal -1/241920 binary64) (.f64 eps eps))) #s(literal 1/4320 binary64)) (.f64 x x) (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64))) #s(literal 1/720 binary64)) x))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/4838400 binary64) (.f64 eps eps) (-.f64 (.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 x x)) #s(literal 1/86400 binary64))) (.f64 x x) (.f64 #s(literal -1/241920 binary64) (.f64 eps eps))) #s(literal 1/4320 binary64)) (.f64 x x) (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64))) #s(literal 1/720 binary64)) x))
#s(approx (* (* eps eps) (sin x)) (.f64 (.f64 eps eps) x))
#s(approx (* (* eps eps) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 x x) (*.f64 eps eps)) x))
#s(approx (* (* eps eps) (sin x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 eps eps)) x))
#s(approx (* (* eps eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/5040 binary64)) (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/120 binary64))) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x x) (*.f64 eps eps)) x))
#s(approx (* (sin x) -1/720) (*.f64 #s(literal -1/720 binary64) x))
#s(approx (* (sin x) -1/720) (.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) x))
#s(approx (* (sin x) -1/720) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/86400 binary64) (.f64 x x) #s(literal 1/4320 binary64)) (.f64 x x)) #s(literal 1/720 binary64)) x))
#s(approx (* (sin x) -1/720) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3628800 binary64) (.f64 x x)) #s(literal 1/86400 binary64)) (.f64 x x) #s(literal 1/4320 binary64)) (.f64 x x)) #s(literal 1/720 binary64)) x))
#s(approx (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (* (+ (* (* (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 x eps (.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)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (+.f64 x eps) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x eps) #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 (* -1/2 (+ x eps)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (* -1/2 (+ x eps)) (*.f64 (+.f64 x eps) #s(literal -1/2 binary64)))
#s(approx (+ x eps) (+.f64 x eps))
#s(approx (* (cos x) eps) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) eps))
#s(approx (* (cos x) eps) (.f64 eps (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (* (cos x) eps) (fma.f64 x (fma.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) eps)) (.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) eps)))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) (.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) eps) #s(literal -1/2 binary64))) x (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) eps)) x (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) eps)))
#s(approx (cos x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (cos x) (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (cos x) (fma.f64 x (fma.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (cos x) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -1/6 binary64) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ x (/ (PI) 2)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
#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 (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 (sin.f64 x) #s(literal 1/24 binary64))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 eps eps)))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (*.f64 (sin.f64 x) #s(literal -1/720 binary64))))
#s(approx (* (* eps eps) (sin x)) (.f64 eps (.f64 (sin.f64 x) eps)))
#s(approx (* (sin x) -1/720) (*.f64 (sin.f64 x) #s(literal -1/720 binary64)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#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 (+ (* (* -1/2 (+ x eps)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* -1/2 (+ x eps)) 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 (+ x eps)) 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 (+ x eps)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* -1/2 (+ x eps)) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (* (cos x) eps) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps))
#s(approx (cos x) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
#s(approx (+ x (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 x eps)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (+ (* (* -1/2 (+ x eps)) 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 (+ x eps)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (* (cos x) eps) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 x))) eps))
#s(approx (cos x) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 x))))
#s(approx (+ x (/ (PI) 2)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 eps (neg.f64 x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (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 eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) 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 (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)) eps) eps #s(literal 1 binary64)) eps))
#s(approx (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)) eps) eps #s(literal 1 binary64)))
#s(approx (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) (.f64 (.f64 eps eps) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) eps) eps))
#s(approx (+ (* (* eps eps) -1/5040) 1/120) #s(literal 1/120 binary64))
#s(approx (+ (* (* eps eps) -1/5040) 1/120) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps (*.f64 (sin.f64 x) eps)) #s(literal -1/2 binary64)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (fma.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (.f64 eps (*.f64 (sin.f64 x) eps)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64) (*.f64 (sin.f64 x) #s(literal 1/24 binary64))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (.f64 eps (*.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64)))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) (fma.f64 #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 x x)) #s(literal 1 binary64)))
#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) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) (*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 eps eps)) #s(literal 1/5040 binary64)) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 eps eps)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) (.f64 (-.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (.f64 eps eps))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) #s(literal -1/5040 binary64)))
#s(approx (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 eps eps)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 eps eps)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))))))
#s(approx (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) (.f64 (-.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (.f64 eps eps))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps))))
#s(approx (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -1/5040 binary64)))
#s(approx (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 eps eps)) #s(literal 1/5040 binary64))))
#s(approx (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 eps eps)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* (* eps eps) -1/5040) 1/120) (.f64 (.f64 eps eps) #s(literal -1/5040 binary64)))
#s(approx (+ (* (* eps eps) -1/5040) 1/120) (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 eps eps)) #s(literal 1/5040 binary64)) (*.f64 eps eps)))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (.f64 (pow.f64 eps #s(literal 8 binary64)) (sin.f64 x)) #s(literal 1/40320 binary64)))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (*.f64 (sin.f64 x) #s(literal 1/40320 binary64))) (pow.f64 eps #s(literal 8 binary64))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64)))) (pow.f64 eps #s(literal 8 binary64))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/40320 binary64))))) (pow.f64 eps #s(literal 8 binary64))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (.f64 #s(literal 1/40320 binary64) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (*.f64 eps eps) eps))) (sin.f64 x)))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64))) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64)))) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64))))) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) (sin.f64 x)) #s(literal 1/40320 binary64)))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64)))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (.f64 eps (*.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64)))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64))) (.f64 eps eps)))
#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 (+ (* (* -1/2 (+ x eps)) x) 1) (.f64 (.f64 x eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* -1/2 (+ x eps)) 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 (+ x eps)) (.f64 (-.f64 (.f64 (/.f64 x eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) (neg.f64 (.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) (neg.f64 (.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 1/120 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* (* eps eps) -1/5040) 1/120) (* eps eps)) 1/6) (* eps eps)) 1) eps) (neg.f64 (.f64 (-.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 1/120 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal -6 binary64))) (pow.f64 eps #s(literal 7 binary64)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#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 (+ x eps)) 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 (+ x eps)) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 x (neg.f64 eps))))

eval54.0ms (0.7%)

Memory: 38.7MiB live, 128.8MiB allocated; 11ms collecting garbage
Compiler: Compiled 6 445 to 2 348 computations (63.6% saved)

prune28.0ms (0.3%)

Memory

-42.3MiB live, 55.8MiB allocated; 14ms collecting garbage

Pruning

26 alts after pruning (16 fresh and 10 done)

	Pruned	Kept	Total
New	338	5	343
Fresh	2	11	13
Picked	2	3	5
Done	0	7	7
Total	342	26	368

Accuracy

100.0%

Counts

368 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (.f64 #s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)) (sin.f64 x)))
	99.7%	(fma.f64 (cos.f64 x) #s(approx (sin eps) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)) eps) eps #s(literal 1 binary64)) eps)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))))))
	99.4%	(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) #s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)))
✓	61.3%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	60.1%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
✓	60.1%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
✓	7.9%	(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
	61.4%	(.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))))
	99.4%	#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)))
✓	99.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
✓	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
✓	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) eps))
✓	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	98.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
✓	98.2%	#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 x eps)) x #s(literal 1 binary64))) eps))
	98.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (* -1/2 (+ x eps)) (*.f64 #s(literal -1/2 binary64) x)) x #s(literal 1 binary64))) eps))
	5.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ x eps)) x) 1) (.f64 (.f64 x x) #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)) #s(approx (+ (* (* -1/2 (+ x eps)) x) 1) (.f64 (.f64 x eps) #s(literal -1/2 binary64)))) eps))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
✓	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) eps))
✓	97.9%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))

Compiler

Compiled 866 to 701 computations (19.1% saved)

regimes31.0ms (0.4%)

Memory

36.0MiB live, 82.4MiB allocated; 2ms collecting garbage

Counts

38 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) #s(approx (* (+ (* (* eps eps) -1/6) 1) eps) (.f64 (.f64 (*.f64 eps eps) eps) #s(literal -1/6 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ x eps)) x) 1) (.f64 (.f64 x eps) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ x eps)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (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 (cos x) (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 (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (* -1/2 (+ x eps)) (*.f64 #s(literal -1/2 binary64) 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) eps) 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 x eps) #s(literal -1/2 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) (+.f64 eps 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 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #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)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 eps x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (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)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 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))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (.f64 #s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) #s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.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)))
(fma.f64 (cos.f64 x) #s(approx (sin eps) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)) eps) eps #s(literal 1 binary64)) eps)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))))))
(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 x) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))))

Outputs

(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (*.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 eps eps))) (*.f64 eps eps))) (*.f64 eps eps))))

Calls

3 calls:

11.0ms	x
9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
9.0ms	eps

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes32.0ms (0.4%)

Memory

-12.9MiB live, 85.1MiB allocated; 6ms collecting garbage

Counts

37 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) #s(approx (* (+ (* (* eps eps) -1/6) 1) eps) (.f64 (.f64 (*.f64 eps eps) eps) #s(literal -1/6 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ x eps)) x) 1) (.f64 (.f64 x eps) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) #s(approx (+ (* (* -1/2 (+ x eps)) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) (.f64 (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 (cos x) (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 (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 #s(approx (* -1/2 (+ x eps)) (*.f64 #s(literal -1/2 binary64) 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) eps) 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 x eps) #s(literal -1/2 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) (+.f64 eps 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 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #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)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 #s(approx (+ x (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 eps x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (*.f64 x eps)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 #s(approx ( (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x)) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(-.f64 (sin.f64 #s(approx (+ x eps) eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (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)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 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))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (.f64 #s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) #s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.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)))
(fma.f64 (cos.f64 x) #s(approx (sin eps) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)) eps) eps #s(literal 1 binary64)) eps)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))))))
(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 x) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))))

Outputs
(fma.f64 (cos.f64 x) #s(approx (sin eps) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)) eps) eps #s(literal 1 binary64)) eps)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))))))

Outputs

(fma.f64 (cos.f64 x) #s(approx (sin eps) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) eps) eps) #s(literal 1/6 binary64)) eps) eps #s(literal 1 binary64)) eps)) #s(approx (- (* (cos eps) (sin x)) (sin x)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps (*.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (*.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))))))

Calls

3 calls:

11.0ms	x
10.0ms	eps
9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes31.0ms (0.4%)

Memory

-13.7MiB live, 75.7MiB allocated; 6ms collecting garbage

Counts

35 → 1

Calls

Call 1

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

Outputs
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes127.0ms (1.6%)

Memory

-16.9MiB live, 99.0MiB allocated; 148ms collecting garbage

Counts

34 → 1

Calls

Call 1

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

Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))

Calls

3 calls:

94.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
23.0ms	x
8.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes37.0ms (0.5%)

Memory

4.9MiB live, 100.4MiB allocated; 11ms collecting garbage

Counts

33 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

18.0ms	x
10.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes36.0ms (0.4%)

Memory

-4.1MiB live, 98.3MiB allocated; 12ms collecting garbage

Counts

32 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

17.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
10.0ms	eps
8.0ms	x

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes28.0ms (0.3%)

Memory

2.8MiB live, 95.5MiB allocated; 4ms collecting garbage

Counts

31 → 1

Calls

Call 1

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

Outputs
#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)))

Calls

3 calls:

10.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
9.0ms	eps
8.0ms	x

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes27.0ms (0.3%)

Memory

-14.7MiB live, 82.9MiB allocated; 6ms collecting garbage

Counts

29 → 1

Calls

Call 1

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

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:

9.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
9.0ms	x
7.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes26.0ms (0.3%)

Memory

40.6MiB live, 84.4MiB allocated; 4ms collecting garbage

Counts

28 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.0%	1	`x`
99.0%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes18.0ms (0.2%)

Memory

6.6MiB live, 50.4MiB allocated; 3ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	eps
4.0ms	x
4.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

Accuracy	Segments	Branch
99.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.0%	1	`x`
99.0%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes20.0ms (0.2%)

Memory

5.3MiB live, 50.0MiB allocated; 4ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

11.0ms	eps
4.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms	x

Results

Accuracy	Segments	Branch
98.4%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
98.4%	1	`x`
98.4%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes13.0ms (0.2%)

Memory

-13.0MiB live, 48.8MiB allocated; 2ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes12.0ms (0.1%)

Memory

-4.4MiB live, 42.3MiB allocated; 1ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes12.0ms (0.1%)

Memory

-8.1MiB live, 39.0MiB allocated; 1ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

Outputs
#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))

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes11.0ms (0.1%)

Memory

-7.5MiB live, 38.4MiB allocated; 2ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes26.0ms (0.3%)

Memory

-21.5MiB live, 26.8MiB allocated; 23ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
2.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms collecting garbage

Accuracy

Total -59.4b remaining (-4479.4%)

Threshold costs -59.4b (-4479.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	eps
2.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
2.0ms	x

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations476.0ms (5.8%)

Memory

36.5MiB live, 930.2MiB allocated; 47ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 207 to 131 computations (36.7% saved)

preprocess230.0ms (2.8%)

Memory: -0.2MiB live, 329.2MiB allocated; 123ms collecting garbage
Compiler: Compiled 250 to 170 computations (32% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze56.0ms (0.7%)

sample5.3s (64.8%)

preprocess44.0ms (0.5%)

series4.0ms (0.1%)

rewrite194.0ms (2.4%)

eval13.0ms (0.2%)

prune5.0ms (0.1%)

series28.0ms (0.3%)

rewrite252.0ms (3.1%)

eval52.0ms (0.6%)

prune19.0ms (0.2%)

series98.0ms (1.2%)

rewrite284.0ms (3.5%)

eval254.0ms (3.1%)

prune38.0ms (0.5%)

series44.0ms (0.5%)

rewrite231.0ms (2.8%)

eval54.0ms (0.7%)

prune28.0ms (0.3%)

regimes31.0ms (0.4%)

regimes32.0ms (0.4%)

regimes31.0ms (0.4%)

regimes127.0ms (1.6%)

regimes37.0ms (0.5%)

regimes36.0ms (0.4%)

regimes28.0ms (0.3%)

regimes27.0ms (0.3%)

regimes26.0ms (0.3%)

regimes18.0ms (0.2%)

regimes20.0ms (0.2%)

regimes13.0ms (0.2%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes26.0ms (0.3%)

regimes6.0ms (0.1%)

derivations476.0ms (5.8%)

preprocess230.0ms (2.8%)

end0.0ms (0%)

Profiling