Metrics for 2sin (example 3.3)

start0.0ms (0%)

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

analyze32.0ms (0.5%)

Memory

6.6MiB live, 51.6MiB allocated; 8ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample4.5s (69.4%)

Memory

57.5MiB live, 4 041.6MiB allocated; 1.8s collecting garbage

Samples

2.0s	25 900×	0	invalid
670.0ms	5 543×	1	valid
225.0ms	2 713×	0	valid

Precisions

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

ival-sin: 697.0ms (40.2% of total)

ival-fabs: 249.0ms (14.4% of total)

ival-add!: 218.0ms (12.6% of total)

ival-mult!: 143.0ms (8.3% of total)

adjust: 142.0ms (8.2% of total)

ival-<: 121.0ms (7% of total)

ival-sub!: 91.0ms (5.3% of total)

ival-and: 60.0ms (3.5% of total)

ival-assert: 12.0ms (0.7% of total)

Bogosity

preprocess31.0ms (0.5%)

Memory

24.1MiB live, 24.1MiB allocated; 0ms 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
▶	61.9%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series11.0ms (0.2%)

Memory

-39.0MiB live, 6.3MiB allocated; 7ms collecting garbage

Counts

6 → 36

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	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	@	-inf	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))
1.0ms	eps	@	0	((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x))

rewrite136.0ms (2.1%)

Memory

20.6MiB live, 117.4MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	538
0	155	526
1	931	520
0	8503	489

Stop Event

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

Counts

42 → 105

Calls

Call 1

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

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

eval10.0ms (0.1%)

Memory: 13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 106 to 384 computations (65.3% saved)

prune9.0ms (0.1%)

Memory

-36.7MiB live, 9.7MiB allocated; 3ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	87	10	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	11	98

Accuracy

100.0%

Counts

98 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
	6.5%	(/.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))))
	99.8%	(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x)))
✓	61.9%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	61.3%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
▶	61.2%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)))
▶	61.1%	(-.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)))
	61.4%	(-.f64 (sin.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (sin.f64 x))
▶	99.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 258 to 250 computations (3.1% saved)

series26.0ms (0.4%)

Memory

27.6MiB live, 27.6MiB allocated; 0ms collecting garbage

Counts

36 → 156

Calls

Call 1

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

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 (* (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 (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin eps)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 1))
#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 (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 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) x) x) 1) #s(hole binary64 1))
#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) x) #s(hole binary64 (* -1/6 x)))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* x (- (* 1/120 (pow x 2)) 1/6))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* x (- (* (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) x) #s(hole binary64 (* 1/120 x)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) #s(hole binary64 (* x (+ 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 x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (+ (* (sin 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 (* (cos eps) (sin x)) #s(hole binary64 (* (cos eps) (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))
#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 (* (+ (* (* (- (* (* (+ (* -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) x) #s(hole binary64 (* -1/5040 (pow x 5))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* (pow x 5) (- (* 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) #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) x) x) #s(hole binary64 (* -1/5040 (pow x 4))))
#s(approx (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) #s(hole binary64 (* -1/5040 (pow x 3))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) #s(hole binary64 (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#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) -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 (+ 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 (* (+ (* (* (- (* (* (+ (* -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 (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin 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))
#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 #s(hole binary64 eps))
#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)))
#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 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin x)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#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 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (- (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
5.0ms	x	@	inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps) (sin x) (- (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) (* (+ (* (* (- (* (* (+ (* -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) x) (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) (* (+ (* -1/5040 (* x x)) 1/120) x) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6 (- (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)
5.0ms	x	@	-inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps) (sin x) (- (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) (* (+ (* (* (- (* (* (+ (* -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) x) (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) (* (+ (* -1/5040 (* x x)) 1/120) x) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6 (- (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)
4.0ms	eps	@	-inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps) (sin x) (- (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) (* (+ (* (* (- (* (* (+ (* -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) x) (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) (* (+ (* -1/5040 (* x x)) 1/120) x) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6 (- (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)
4.0ms	x	@	0	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps) (sin x) (- (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) (* (+ (* (* (- (* (* (+ (* -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) x) (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) (* (+ (* -1/5040 (* x x)) 1/120) x) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6 (- (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)
2.0ms	eps	@	0	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (cos eps) (sin x)) (cos eps) (sin x) (- (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) (* (+ (* (* (- (* (* (+ (* -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) x) (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) (* (+ (* -1/5040 (* x x)) 1/120) x) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6 (- (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)

rewrite196.0ms (3%)

Memory

24.9MiB live, 160.7MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	542	3460
0	587	3301
1	2940	3301
0	10171	3203

Stop Event

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

Counts

192 → 407

Calls

Call 1

Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(sin.f64 eps)
eps
(cos.f64 x)
x
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(cos.f64 eps)
(sin.f64 x)
#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)
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)))
#s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
(.f64 (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)
(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))
(.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)
(-.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))
(.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)
(.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) 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 (+ 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)
#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 (* (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 (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin eps)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 1))
#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 (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) #s(hole binary64 (* x (+ 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) x) x) 1) #s(hole binary64 1))
#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) x) #s(hole binary64 (* -1/6 x)))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* x (- (* 1/120 (pow x 2)) 1/6))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* x (- (* (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) x) #s(hole binary64 (* 1/120 x)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) #s(hole binary64 (* x (+ 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 x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (+ (* (sin 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 (* (cos eps) (sin x)) #s(hole binary64 (* (cos eps) (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))
#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 (* (+ (* (* (- (* (* (+ (* -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) x) #s(hole binary64 (* -1/5040 (pow x 5))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* (pow x 5) (- (* 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) #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) x) x) #s(hole binary64 (* -1/5040 (pow x 4))))
#s(approx (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) #s(hole binary64 (* -1/5040 (pow x 3))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) #s(hole binary64 (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#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) -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 (+ 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 (* (+ (* (* (- (* (* (+ (* -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 (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin 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))
#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 #s(hole binary64 eps))
#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)))
#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 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin x)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#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 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (- (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 x eps) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
(/.f64 (fma.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))))) #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))))) (*.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64) (.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 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))) (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))))) (.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 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) (.f64 #s(literal 2 binary64) (-.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 #s(literal 2 binary64) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) (+.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 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))) (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (.f64 #s(literal 2 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 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (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 x eps))))) (-.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 x eps)) (sin.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #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 x eps))))) (+.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 x eps)) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (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 x eps))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #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 x eps))))) (+.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 x eps)) (sin.f64 x)))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (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 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 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))) (/.f64 (pow.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (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 x eps))))) (+.f64 (sin.f64 (+.f64 x eps)) (sin.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 x eps)) (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x 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) (+.f64 x eps))))) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (/.f64 (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 x eps))))) (+.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 x eps)) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))))) (/.f64 (pow.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))))))
(+.f64 (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)) (.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(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
(/.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 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #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 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))))))
(/.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))))) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #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 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 eps) (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 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))))) (/.f64 (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 (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))
(*.f64 (sin.f64 x) (cos.f64 eps))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (cos.f64 (+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 x (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 x (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.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 x eps))) #s(literal 2 binary64))
(sin.f64 (+.f64 (neg.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (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)))))
(sin.f64 x)
#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 x eps))))) (.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 x eps)) #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 x eps)) #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 x eps))))) (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 x eps)) #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 x eps))))) (.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 x eps)) #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 x eps)) #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 x eps))))) (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 x eps)) #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 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 (.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 x eps)) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))))
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(-.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)))
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(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/128024064000 binary64) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))
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(/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))) (-.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64))))
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(fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (*.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (-.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))
(-.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (.f64 x x)))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/128024064000 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))
(+.f64 (/.f64 #s(literal 1/1728000 binary64) (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/128024064000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 (.f64 x x) #s(literal -1/5040 binary64))) (.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 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))) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 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))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
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(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
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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))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x))))
(-.f64 (cos.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) eps)))
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(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x))))))
(+.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
(*.f64 (sin.f64 x) eps)
(*.f64 eps (sin.f64 x))
#s(literal -1/2 binary64)
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin.f64 eps))
#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 (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 (- (* (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 (cos.f64 eps) #s(literal 1/120 binary64)) #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) #s(literal -1/6 binary64)) (cos.f64 eps) (cos.f64 eps)) x))
#s(approx (* (cos eps) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (cos.f64 eps) (.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) #s(literal -1/5040 binary64)) (cos.f64 eps) (.f64 (cos.f64 eps) #s(literal 1/120 binary64))) (.f64 x x) (.f64 (cos.f64 eps) #s(literal -1/6 binary64))) (*.f64 x x) (cos.f64 eps)) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.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 (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin.f64 eps))
#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)) (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 x eps))
#s(approx (* (+ (* (* x x) -1/6) 1) x) x)
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) -1/6) 1) #s(literal 1 binary64))
#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 (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) x)
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#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) #s(literal 1 binary64))
#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) 1/6) x) (*.f64 #s(literal -1/6 binary64) x))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) (.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))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)))
#s(approx (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(approx (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) 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 x) eps) -1/2) (cos x)) eps) eps)
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.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)) #s(literal 1 binary64))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) 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 x eps)) #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 (*.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 (+ (* (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 (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 x) (sin.f64 x))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 x eps)))
#s(approx (+ x 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 (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))
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#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/5040 binary64)))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/5040 binary64)))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/5040 binary64)))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64))))
#s(approx (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/5040 binary64)))
#s(approx (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* -1/5040 (* x x)) 1/120) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))
#s(approx (+ (* -1/5040 (* x x)) 1/120) (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (* (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 (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 (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) (neg.f64 (.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) (neg.f64 (.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) x) 1) x) (neg.f64 (.f64 (-.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal -6 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) (neg.f64 (.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (- (* (* (+ (* -1/5040 (* x x)) 1/120) x) x) 1/6) x) (neg.f64 (.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) x) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #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 (.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 eps) eps)
#s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.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 eps eps)
#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)) (sin.f64 x))
#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) #s(literal 1 binary64))
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 (.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 (cos.f64 x) eps))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #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 (.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)) (sin.f64 x))
#s(approx (sin (+ x eps)) (fma.f64 (cos.f64 x) eps (sin.f64 x)))
#s(approx (sin (+ x eps)) (fma.f64 eps (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) (sin.f64 x)))
#s(approx (sin (+ x eps)) (fma.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (cos.f64 x))
#s(approx (sin eps) (sin.f64 eps))
#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 (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))
#s(approx (+ (* (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)))))

eval55.0ms (0.8%)

Memory: -24.0MiB live, 66.0MiB allocated; 10ms collecting garbage
Compiler: Compiled 6 740 to 2 263 computations (66.4% saved)

prune17.0ms (0.3%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	438	15	453
Fresh	2	3	5
Picked	3	2	5
Done	0	1	1
Total	443	21	464

Accuracy

100.0%

Counts

464 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (.f64 #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))) (sin.f64 x)) (sin.f64 x)))
	99.9%	(fma.f64 (sin.f64 eps) (cos.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))))
▶	100.0%	(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 (.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))))
	99.8%	(fma.f64 #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)) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
✓	61.9%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	61.3%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
✓	61.2%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)))
▶	61.4%	(-.f64 (sin.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (sin.f64 x))
	99.6%	#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)))
✓	99.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.9%	#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))
▶	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
▶	98.4%	#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))
	98.3%	#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))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) #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)))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps)))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps)))
▶	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
	98.3%	#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 686 to 640 computations (6.7% saved)

series39.0ms (0.6%)

Memory

-28.7MiB live, 32.4MiB allocated; 23ms collecting garbage

Counts

33 → 160

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

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	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)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) -1/2 (sin x) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* (* eps eps) (sin x)) (* eps eps) -1/720 (* (sin x) 1/24) 1/24 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ x eps)) x) 1) (* -1/2 (+ x eps)) (+ x eps) 1 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (+ (* (/ x eps) eps) eps) (/ x eps))
5.0ms	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)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) -1/2 (sin x) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* (* eps eps) (sin x)) (* eps eps) -1/720 (* (sin x) 1/24) 1/24 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ x eps)) x) 1) (* -1/2 (+ x eps)) (+ x eps) 1 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (+ (* (/ x eps) eps) eps) (/ x eps))
4.0ms	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)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) -1/2 (sin x) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* (* eps eps) (sin x)) (* eps eps) -1/720 (* (sin x) 1/24) 1/24 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ x eps)) x) 1) (* -1/2 (+ x eps)) (+ x eps) 1 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (+ (* (/ x eps) eps) eps) (/ x eps))
4.0ms	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)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) -1/2 (sin x) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* (* eps eps) (sin x)) (* eps eps) -1/720 (* (sin x) 1/24) 1/24 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ x eps)) x) 1) (* -1/2 (+ x eps)) (+ x eps) 1 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (+ (* (/ x eps) eps) eps) (/ x eps))
4.0ms	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)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) -1/2 (sin x) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* (* eps eps) (sin x)) (* eps eps) -1/720 (* (sin x) 1/24) 1/24 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (+ (* (* -1/2 (+ x eps)) x) 1) (* -1/2 (+ x eps)) (+ x eps) 1 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (+ (* (/ x eps) eps) eps) (/ x eps))

rewrite156.0ms (2.4%)

Memory

-11.1MiB live, 123.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	644	4189
0	688	4044
1	3931	4044
0	8116	3859

Stop Event

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

Counts

193 → 316

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

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

eval44.0ms (0.7%)

Memory: -0.8MiB live, 48.5MiB allocated; 11ms collecting garbage
Compiler: Compiled 4 520 to 1 734 computations (61.6% saved)

prune18.0ms (0.3%)

Memory

25.5MiB live, 25.5MiB allocated; 0ms collecting garbage

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	285	13	298
Fresh	5	8	13
Picked	1	4	5
Done	0	3	3
Total	291	28	319

Accuracy

100.0%

Counts

319 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (.f64 #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))) (sin.f64 x)) (sin.f64 x)))
	99.9%	(fma.f64 (sin.f64 eps) (cos.f64 x) #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))))
	99.6%	(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 #s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/4320 binary64) (.f64 eps eps) (-.f64 (.f64 (fma.f64 #s(literal -1/86400 binary64) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 x x)) #s(literal 1/144 binary64))) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/720 binary64))) #s(literal 1/24 binary64)) x)) (.f64 eps eps))) (.f64 eps eps))))
	99.8%	(fma.f64 #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)) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
▶	100.0%	(fma.f64 #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)) (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 (.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))))
✓	61.9%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	61.3%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
✓	61.2%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)))
✓	61.4%	(-.f64 (sin.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (sin.f64 x))
	60.7%	(-.f64 (sin.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
▶	99.6%	#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)))
✓	99.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.9%	#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))
▶	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
✓	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #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))) eps))
✓	98.4%	#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))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ x eps) x)) x #s(literal 1 binary64))) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ x eps) eps)) x #s(literal 1 binary64))) eps))
	47.7%	#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) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64))))) eps))
	5.2%	#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))
▶	5.8%	#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))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) #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)))
▶	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps)))
✓	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
	98.3%	#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 1 005 to 925 computations (8% saved)

series41.0ms (0.6%)

Memory

-1.3MiB live, 44.7MiB allocated; 4ms collecting garbage

Counts

48 → 211

Calls

Call 1

Inputs
(fma.f64 #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)) (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 (.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 (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))
(.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)
(fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(.f64 (.f64 eps eps) #s(literal 1/120 binary64))
(*.f64 eps eps)
eps
#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 (.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)))
(.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))
(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)))
#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))
(fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal -1/720 binary64) (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))
(.f64 (.f64 eps eps) (sin.f64 x))
#s(literal -1/720 binary64)
(*.f64 (sin.f64 x) #s(literal 1/24 binary64))
#s(literal 1/24 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))
(.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) -1/2) (cos x)) #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 (.f64 x eps) #s(literal -1/2 binary64)))
(.f64 (.f64 x eps) #s(literal -1/2 binary64))
(*.f64 x eps)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps))
(fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps)
(.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps)))
(fma.f64 x eps (*.f64 eps eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
(*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps)
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 x)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#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)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)
(.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))
(*.f64 (sin.f64 x) 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)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) 1/240))) (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144))))))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* 1/3628800 (pow eps 2)) 1/120960))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) 1/240))))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) #s(hole binary64 (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144))))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144)) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) 1/240)))))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* 1/3628800 (pow eps 2)) 1/120960))))) 1/240)))))) 1/2))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/24 (* -1/720 (pow eps 2)))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* 1/4320 (pow eps 2)) 1/144))) (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/2880 (* -1/86400 (pow eps 2))))) (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/3628800 (pow eps 2)) 1/120960))) (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2))))))))))))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) #s(hole binary64 (* x (+ 1/24 (* -1/720 (pow eps 2))))))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) #s(hole binary64 (* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (- (* 1/4320 (pow eps 2)) 1/144)))))))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) #s(hole binary64 (* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4320 (pow eps 2)) (* (pow x 2) (+ 1/2880 (* -1/86400 (pow eps 2))))) 1/144)))))))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) #s(hole binary64 (* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4320 (pow eps 2)) (* (pow x 2) (+ 1/2880 (+ (* -1/86400 (pow eps 2)) (* (pow x 2) (- (* 1/3628800 (pow eps 2)) 1/120960)))))) 1/144)))))))
#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) 1/24) #s(hole binary64 (* 1/24 x)))
#s(approx (* (sin x) 1/24) #s(hole binary64 (* x (+ 1/24 (* -1/144 (pow x 2))))))
#s(approx (* (sin x) 1/24) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144))))))
#s(approx (* (sin x) 1/24) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/120960 (pow x 2)))) 1/144))))))
#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) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (* (* x eps) -1/2) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* x eps) #s(hole binary64 (* eps x)))
#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) #s(hole binary64 eps))
#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* -1/2 (+ (* x eps) (* eps eps))) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* -1/2 (+ (* x eps) (* eps eps))) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (+ (* x eps) (* eps eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* x eps) (* eps eps)) #s(hole binary64 (+ (* eps x) (pow eps 2))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (* 1/2 (PI))))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* -1 (* eps (* x (cos (* 1/2 (PI)))))) (* eps (sin (* 1/2 (PI)))))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* -1/2 (* eps (* x (sin (* 1/2 (PI)))))))))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* x (+ (* -1/2 (* eps (sin (* 1/2 (PI))))) (* 1/6 (* eps (* x (cos (* 1/2 (PI)))))))))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (* x (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (+ (* -1 x) (* 1/2 (PI)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 eps))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) 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) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* 1/12 (* (pow eps 2) (pow x 2)))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (* (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2))))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* 1/12 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (pow eps 2)) (* 1/10080 (* (pow eps 2) (pow x 2)))))))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* 1/12 (* eps (pow x 2)))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps)))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (+ (* (sin 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)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) #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)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* 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 (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) #s(hole binary64 (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) (sin x))))
#s(approx (* (sin x) 1/24) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (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) (* eps eps))) x) eps) #s(hole binary64 (* -1/2 (* eps (pow x 2)))))
#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))))
#s(approx (* -1/2 (+ (* x eps) (* eps eps))) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* -1/2 (+ (* x eps) (* eps eps))) #s(hole binary64 (* x (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* x eps) (* eps eps)) #s(hole binary64 (* eps x)))
#s(approx (+ (* x eps) (* eps eps)) #s(hole binary64 (* x (+ eps (/ (pow eps 2) x)))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (- (* 1/2 (PI)) x)))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) x))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* -1 x)))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) 1))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) (sin x))) (* eps (cos x)))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin 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) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))))
#s(approx (* -1/2 (+ (* x eps) (* eps eps))) #s(hole binary64 (* -1 (* x (+ (* 1/2 eps) (* 1/2 (/ (pow eps 2) x)))))))
#s(approx (+ (* x eps) (* eps eps)) #s(hole binary64 (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (+ (* -1 x) (* 1/2 (PI)))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (sin (+ (* -1 x) (* 1/2 (PI))))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ (PI) x)))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin 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))
#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) 1/120) 1/6) (* eps eps)) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))))
#s(approx (- (* (* eps eps) 1/120) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (* eps eps) 1/120) 1/6) #s(hole binary64 (- (* 1/120 (pow eps 2)) 1/6)))
#s(approx (* (* eps eps) 1/120) #s(hole binary64 (* 1/120 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#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 (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))))
#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) #s(hole binary64 (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))))
#s(approx (* -1/2 (+ (* x eps) (* eps eps))) #s(hole binary64 (* eps (+ (* -1/2 eps) (* -1/2 x)))))
#s(approx (+ (* x eps) (* eps eps)) #s(hole binary64 (* eps (+ eps x))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* 1/120 (pow eps 5))))
#s(approx (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) #s(hole binary64 (* 1/120 (pow eps 4))))
#s(approx (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))))
#s(approx (- (* (* eps eps) 1/120) 1/6) #s(hole binary64 (* 1/120 (pow eps 2))))
#s(approx (- (* (* eps eps) 1/120) 1/6) #s(hole binary64 (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) #s(hole binary64 (* -1/720 (* (pow eps 6) (sin x)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) #s(hole binary64 (* -1/720 (* (pow eps 4) (sin x)))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) #s(hole binary64 (* -1/720 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) #s(hole binary64 (* -1/720 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* -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) (* eps eps))) x) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (* -1/2 (+ (* x eps) (* eps eps))) #s(hole binary64 (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/2))))
#s(approx (+ (* x eps) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (/ x eps)))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) 1/120)))))
#s(approx (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) (+ 1/120 (/ 1 (pow eps 4))))))))
#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) (* eps eps))) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* -1/2 x)))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) (- (* (* eps eps) 1/120) 1/6) (* (* eps eps) 1/120) (* eps eps) eps 1/120 1/6 1 (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) -1/2 (sin x) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* (* eps eps) (sin x)) -1/720 (* (sin x) 1/24) 1/24 (- (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) (* (* x eps) -1/2) (* x eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) (* -1/2 (+ (* x eps) (* eps eps))) (+ (* x eps) (* eps eps)) (- (sin (+ x eps)) (sin x)) (* (sin (+ (neg x) (/ (PI) 2))) eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (neg x) (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) (* (* (* (sin x) eps) -1/2) eps) (* (* (sin x) eps) -1/2) (* (sin x) eps))
7.0ms	x	@	-inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) (- (* (* eps eps) 1/120) 1/6) (* (* eps eps) 1/120) (* eps eps) eps 1/120 1/6 1 (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) -1/2 (sin x) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* (* eps eps) (sin x)) -1/720 (* (sin x) 1/24) 1/24 (- (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) (* (* x eps) -1/2) (* x eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) (* -1/2 (+ (* x eps) (* eps eps))) (+ (* x eps) (* eps eps)) (- (sin (+ x eps)) (sin x)) (* (sin (+ (neg x) (/ (PI) 2))) eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (neg x) (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) (* (* (* (sin x) eps) -1/2) eps) (* (* (sin x) eps) -1/2) (* (sin x) eps))
6.0ms	eps	@	-inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) (- (* (* eps eps) 1/120) 1/6) (* (* eps eps) 1/120) (* eps eps) eps 1/120 1/6 1 (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) -1/2 (sin x) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* (* eps eps) (sin x)) -1/720 (* (sin x) 1/24) 1/24 (- (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) (* (* x eps) -1/2) (* x eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) (* -1/2 (+ (* x eps) (* eps eps))) (+ (* x eps) (* eps eps)) (- (sin (+ x eps)) (sin x)) (* (sin (+ (neg x) (/ (PI) 2))) eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (neg x) (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) (* (* (* (sin x) eps) -1/2) eps) (* (* (sin x) eps) -1/2) (* (sin x) eps))
6.0ms	eps	@	inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) (- (* (* eps eps) 1/120) 1/6) (* (* eps eps) 1/120) (* eps eps) eps 1/120 1/6 1 (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) -1/2 (sin x) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* (* eps eps) (sin x)) -1/720 (* (sin x) 1/24) 1/24 (- (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) (* (* x eps) -1/2) (* x eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) (* -1/2 (+ (* x eps) (* eps eps))) (+ (* x eps) (* eps eps)) (- (sin (+ x eps)) (sin x)) (* (sin (+ (neg x) (/ (PI) 2))) eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (neg x) (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) (* (* (* (sin x) eps) -1/2) eps) (* (* (sin x) eps) -1/2) (* (sin x) eps))
5.0ms	eps	@	0	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) (- (* (* eps eps) 1/120) 1/6) (* (* eps eps) 1/120) (* eps eps) eps 1/120 1/6 1 (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) -1/2 (sin x) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* (* eps eps) (sin x)) -1/720 (* (sin x) 1/24) 1/24 (- (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) (* (* x eps) -1/2) (* x eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) (* -1/2 (+ (* x eps) (* eps eps))) (+ (* x eps) (* eps eps)) (- (sin (+ x eps)) (sin x)) (* (sin (+ (neg x) (/ (PI) 2))) eps) (sin (+ (neg x) (/ (PI) 2))) (+ (neg x) (/ (PI) 2)) (neg x) (/ (PI) 2) (PI) 2 (- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) (* (* (* (sin x) eps) -1/2) eps) (* (* (sin x) eps) -1/2) (* (sin x) eps))

rewrite200.0ms (3.1%)

Memory

32.8MiB live, 170.6MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	844	5783
0	909	5456
1	5010	5456
0	8470	5212

Stop Event

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

Counts

259 → 417

Calls

Call 1

Inputs
(fma.f64 #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)) (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 (.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 (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))
(.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)
(fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(.f64 (.f64 eps eps) #s(literal 1/120 binary64))
(*.f64 eps eps)
eps
#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 (.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)))
(.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))
(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)))
#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))
(fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal -1/720 binary64) (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))
(.f64 (.f64 eps eps) (sin.f64 x))
#s(literal -1/720 binary64)
(*.f64 (sin.f64 x) #s(literal 1/24 binary64))
#s(literal 1/24 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))
(.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) -1/2) (cos x)) #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 (.f64 x eps) #s(literal -1/2 binary64)))
(.f64 (.f64 x eps) #s(literal -1/2 binary64))
(*.f64 x eps)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps))
(fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps))) x eps)
(.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 eps eps)))
(fma.f64 x eps (*.f64 eps eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
(*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps)
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 x)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#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)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)
(.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))
(*.f64 (sin.f64 x) 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)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) 1/240))) (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144))))))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* 1/3628800 (pow eps 2)) 1/120960))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) 1/240))))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) #s(hole binary64 (* x (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144))))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144)) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) 1/240)))))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2)))) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* 1/3628800 (pow eps 2)) 1/120960))))) 1/240)))))) 1/2))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/24 (* -1/720 (pow eps 2)))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* 1/4320 (pow eps 2)) 1/144))) (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/2880 (* -1/86400 (pow eps 2))))) (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (- (* 1/4320 (pow eps 2)) 1/144)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/3628800 (pow eps 2)) 1/120960))) (* (pow eps 2) (+ 1/2880 (* -1/86400 (pow eps 2))))))))))))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) #s(hole binary64 (* x (+ 1/24 (* -1/720 (pow eps 2))))))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) #s(hole binary64 (* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (- (* 1/4320 (pow eps 2)) 1/144)))))))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) #s(hole binary64 (* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4320 (pow eps 2)) (* (pow x 2) (+ 1/2880 (* -1/86400 (pow eps 2))))) 1/144)))))))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) #s(hole binary64 (* x (+ 1/24 (+ (* -1/720 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4320 (pow eps 2)) (* (pow x 2) (+ 1/2880 (+ (* -1/86400 (pow eps 2)) (* (pow x 2) (- (* 1/3628800 (pow eps 2)) 1/120960)))))) 1/144)))))))
#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) 1/24) #s(hole binary64 (* 1/24 x)))
#s(approx (* (sin x) 1/24) #s(hole binary64 (* x (+ 1/24 (* -1/144 (pow x 2))))))
#s(approx (* (sin x) 1/24) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/144))))))
#s(approx (* (sin x) 1/24) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/120960 (pow x 2)))) 1/144))))))
#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) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (* (* x eps) -1/2) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* x eps) #s(hole binary64 (* eps x)))
#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) #s(hole binary64 eps))
#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* -1/2 (+ (* x eps) (* eps eps))) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* -1/2 (+ (* x eps) (* eps eps))) #s(hole binary64 (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (+ (* x eps) (* eps eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* x eps) (* eps eps)) #s(hole binary64 (+ (* eps x) (pow eps 2))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (* 1/2 (PI))))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* -1 (* eps (* x (cos (* 1/2 (PI)))))) (* eps (sin (* 1/2 (PI)))))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* -1/2 (* eps (* x (sin (* 1/2 (PI)))))))))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (+ (* eps (sin (* 1/2 (PI)))) (* x (+ (* -1 (* eps (cos (* 1/2 (PI))))) (* x (+ (* -1/2 (* eps (sin (* 1/2 (PI))))) (* 1/6 (* eps (* x (cos (* 1/2 (PI)))))))))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (* x (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (+ (* -1 x) (* 1/2 (PI)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 eps))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) 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) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* 1/12 (* (pow eps 2) (pow x 2)))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (* (pow eps 2) (pow x 2))) (* 1/12 (pow eps 2))))))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* x (+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* 1/12 (pow eps 2)) (* (pow x 2) (+ (* -1/240 (pow eps 2)) (* 1/10080 (* (pow eps 2) (pow x 2)))))))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* 1/12 (* eps (pow x 2)))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/240 (* eps (pow x 2))) (* 1/12 eps)))))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* x (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/12 eps) (* (pow x 2) (+ (* -1/240 eps) (* 1/10080 (* eps (pow x 2)))))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (+ (* (sin 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)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) #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)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* 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 (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) #s(hole binary64 (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) (sin x))))
#s(approx (* (sin x) 1/24) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (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) (* eps eps))) x) eps) #s(hole binary64 (* -1/2 (* eps (pow x 2)))))
#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (+ (* -1/2 (/ (pow eps 2) x)) (/ eps (pow x 2)))))))
#s(approx (* -1/2 (+ (* x eps) (* eps eps))) #s(hole binary64 (* -1/2 (* eps x))))
#s(approx (* -1/2 (+ (* x eps) (* eps eps))) #s(hole binary64 (* x (+ (* -1/2 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* x eps) (* eps eps)) #s(hole binary64 (* eps x)))
#s(approx (+ (* x eps) (* eps eps)) #s(hole binary64 (* x (+ eps (/ (pow eps 2) x)))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (- (* 1/2 (PI)) x)))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) x))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* -1 x)))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) 1))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (+ (* -1/2 (* (pow eps 2) (sin x))) (* eps (cos x)))))
#s(approx (* (* (* (sin x) eps) -1/2) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (* (sin x) eps) -1/2) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin 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) (* eps eps))) x) eps) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ eps x)) (* 1/2 (pow eps 2))) x)) (* -1/2 eps)))))
#s(approx (* -1/2 (+ (* x eps) (* eps eps))) #s(hole binary64 (* -1 (* x (+ (* 1/2 eps) (* 1/2 (/ (pow eps 2) x)))))))
#s(approx (+ (* x eps) (* eps eps)) #s(hole binary64 (* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) #s(hole binary64 (* eps (sin (+ (* -1 x) (* 1/2 (PI)))))))
#s(approx (sin (+ (neg x) (/ (PI) 2))) #s(hole binary64 (sin (+ (* -1 x) (* 1/2 (PI))))))
#s(approx (+ (neg x) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (+ 1 (* -1/2 (/ (PI) x)))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin 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))
#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) 1/120) 1/6) (* eps eps)) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))))
#s(approx (- (* (* eps eps) 1/120) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (* eps eps) 1/120) 1/6) #s(hole binary64 (- (* 1/120 (pow eps 2)) 1/6)))
#s(approx (* (* eps eps) 1/120) #s(hole binary64 (* 1/120 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#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 (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2))))))
#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) #s(hole binary64 (* eps (+ 1 (* -1/2 (pow x 2))))))
#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) #s(hole binary64 (* eps (+ 1 (+ (* -1/2 (* eps x)) (* -1/2 (pow x 2)))))))
#s(approx (* -1/2 (+ (* x eps) (* eps eps))) #s(hole binary64 (* eps (+ (* -1/2 eps) (* -1/2 x)))))
#s(approx (+ (* x eps) (* eps eps)) #s(hole binary64 (* eps (+ eps x))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* 1/120 (pow eps 5))))
#s(approx (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) #s(hole binary64 (* 1/120 (pow eps 4))))
#s(approx (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))))
#s(approx (- (* (* eps eps) 1/120) 1/6) #s(hole binary64 (* 1/120 (pow eps 2))))
#s(approx (- (* (* eps eps) 1/120) 1/6) #s(hole binary64 (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) #s(hole binary64 (* -1/720 (* (pow eps 6) (sin x)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) #s(hole binary64 (* -1/720 (* (pow eps 4) (sin x)))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 4))) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) #s(hole binary64 (* -1/720 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) #s(hole binary64 (* -1/720 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/24 (/ (sin x) (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1/2 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (+ (* (* -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) (* eps eps))) x) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) x))))
#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 x) (+ (* -1/2 (/ (pow x 2) eps)) (/ 1 eps))))))
#s(approx (* -1/2 (+ (* x eps) (* eps eps))) #s(hole binary64 (* (pow eps 2) (- (* -1/2 (/ x eps)) 1/2))))
#s(approx (+ (* x eps) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (/ x eps)))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (cos x) eps) (* (* (* (sin x) eps) -1/2) eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))))
#s(approx (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) 1/120)))))
#s(approx (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) (+ 1/120 (/ 1 (pow eps 4))))))))
#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) (* eps eps))) x) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 (pow x 2)) 1) eps)) (* -1/2 x)))))

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) #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(literal 2 binary64)) (pow.f64 #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 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))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 x) #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 (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 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))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) #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(literal 3 binary64)) (pow.f64 #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 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))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 x) #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(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 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))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) #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 (- ( (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 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))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))))))
(fma.f64 (cos.f64 x) #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 (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 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))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))))
(fma.f64 #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)) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 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))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))))
(+.f64 (.f64 (cos.f64 x) #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 (- ( (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 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))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))))
(+.f64 #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 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))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 eps eps))) (.f64 (cos.f64 x) #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 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) 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)
(.f64 eps (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps (.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) eps) eps) eps))
(fma.f64 eps #s(literal 1 binary64) (.f64 eps (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) eps) eps)))
(+.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) eps) eps)))
(+.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) eps) eps) eps))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) eps) eps) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) eps) eps) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) eps) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) eps) eps) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) eps) eps) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) eps) eps) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) eps) eps)))))
(fma.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) eps) eps #s(literal 1 binary64))
(fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64))
(fma.f64 (.f64 eps eps) (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 eps eps)) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) eps) eps) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) eps) eps))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 (.f64 eps eps) #s(literal 1/120 binary64))) #s(literal 1/36 binary64)) (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/1728000 binary64))) #s(literal 1/216 binary64)) (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(.f64 (.f64 eps eps) #s(literal 1/120 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 eps eps))
(.f64 eps (.f64 #s(literal 1/120 binary64) eps))
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(fabs.f64 (*.f64 eps eps))
(+.f64 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
eps
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
x
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 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))) (.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 -1/720 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 (.f64 (sin.f64 x) eps)) #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 (.f64 (sin.f64 x) eps)) #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 (.f64 (sin.f64 x) eps)) #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 (.f64 (sin.f64 x) eps)) #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 (.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps))))
(+.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) (.f64 (.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 eps eps)))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.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(literal 2 binary64))) (-.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.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 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (.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(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.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(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.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))))))
(fma.f64 (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) eps) eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 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))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(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)))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.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)))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.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 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (neg.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 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (neg.f64 (.f64 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)))))
(+.f64 (.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 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.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(literal -1/2 binary64)
(sin.f64 x)
(.f64 (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64) (*.f64 (sin.f64 x) #s(literal 1/24 binary64))) eps) eps)
(.f64 (.f64 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))))
(.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))
(fma.f64 (.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64)) (.f64 eps eps) (.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (*.f64 eps eps)))
(fma.f64 (.f64 eps eps) (.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64)) (.f64 (.f64 eps eps) (*.f64 (sin.f64 x) #s(literal 1/24 binary64))))
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(+.f64 (.f64 (.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64)) (.f64 eps eps)) (.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (.f64 eps eps)))
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#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 (-.f64 (.f64 #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 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)))) x))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 (fma.f64 #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 #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 (.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))) x))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 (-.f64 (.f64 #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 #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 (fma.f64 (-.f64 (.f64 #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 x x) (.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))) x))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (.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)) x))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #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)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #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 #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 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 eps eps))) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (.f64 (-.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/86400 binary64) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 eps eps) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3628800 binary64) (.f64 eps eps)) #s(literal 1/120960 binary64)) (.f64 eps eps) #s(literal 1/10080 binary64)) (.f64 x x)) #s(literal 1/240 binary64))) (.f64 x x))) (*.f64 x x))) #s(literal 1/2 binary64)) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) (.f64 (.f64 (.f64 eps eps) x) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 x x) (fma.f64 (*.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) x))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) (.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 #s(literal -1/86400 binary64) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 x x) (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)))) (.f64 x x) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 eps eps))) x))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) (.f64 (fma.f64 (fma.f64 (.f64 x x) (.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 #s(literal 1/3628800 binary64) (.f64 eps eps)) #s(literal 1/120960 binary64)) (.f64 x x) (fma.f64 #s(literal -1/86400 binary64) (.f64 eps eps) #s(literal 1/2880 binary64)))) (.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps))) (.f64 x x) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 eps eps))) x))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/720 binary64))) #s(literal 1/24 binary64)) x))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/4320 binary64) (.f64 eps eps) (-.f64 (.f64 (fma.f64 #s(literal -1/86400 binary64) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 x x)) #s(literal 1/144 binary64))) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/720 binary64))) #s(literal 1/24 binary64)) x))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3628800 binary64) (.f64 eps eps)) #s(literal 1/120960 binary64)) (.f64 x x) (.f64 #s(literal -1/86400 binary64) (.f64 eps eps))) #s(literal 1/2880 binary64)) (.f64 x x) (.f64 #s(literal 1/4320 binary64) (.f64 eps eps))) #s(literal 1/144 binary64)) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/720 binary64))) #s(literal 1/24 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) 1/24) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (* (sin x) 1/24) (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 x x) #s(literal 1/24 binary64)) x))
#s(approx (* (sin x) 1/24) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2880 binary64) (.f64 x x)) #s(literal 1/144 binary64)) (.f64 x x) #s(literal 1/24 binary64)) x))
#s(approx (* (sin x) 1/24) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/120960 binary64) (.f64 x x) #s(literal 1/2880 binary64)) (.f64 x x)) #s(literal 1/144 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) 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 (-.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 (+ x eps)) (sin x)) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (cos.f64 eps)) #s(literal 1 binary64)) (sin.f64 eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 (+.f64 x eps) eps) #s(literal -1/2 binary64)) x eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(literal 1 binary64))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (+.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)) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) x #s(literal 1 binary64)))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) (fma.f64 (*.f64 (+.f64 x eps) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (* x eps) -1/2) (.f64 (.f64 x eps) #s(literal -1/2 binary64)))
#s(approx (* x eps) (*.f64 x eps))
#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) eps)
#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps))
#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) (fma.f64 (.f64 (.f64 (+.f64 x eps) eps) #s(literal -1/2 binary64)) x eps))
#s(approx (* -1/2 (+ (* x eps) (* eps eps))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* -1/2 (+ (* x eps) (* eps eps))) (.f64 (.f64 (+.f64 x eps) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* x eps) (* eps eps)) (*.f64 eps eps))
#s(approx (+ (* x eps) (* eps eps)) (*.f64 (+.f64 x eps) eps))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) eps))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) (fma.f64 (neg.f64 eps) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) eps)))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) 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 (neg.f64 eps) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) (.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) eps)))
#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) (fma.f64 (fma.f64 x (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))) (.f64 (neg.f64 eps) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) 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 (neg.f64 x) (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 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64) (neg.f64 (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))) (neg.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ (neg x) (/ (PI) 2)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (+ (neg x) (/ (PI) 2)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)))
#s(approx (neg x) (neg.f64 x))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps)
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 (+.f64 x eps) eps) #s(literal -1/2 binary64)) 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) eps) (.f64 (.f64 (*.f64 eps eps) x) #s(literal -1/2 binary64)))
#s(approx (* (* (* (sin x) eps) -1/2) eps) (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))) x))
#s(approx (* (* (* (sin x) eps) -1/2) eps) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/240 binary64) (.f64 eps eps)) (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) (.f64 x x) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x))
#s(approx (* (* (* (sin x) eps) -1/2) eps) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/10080 binary64) (.f64 eps eps)) (.f64 x x) (.f64 #s(literal -1/240 binary64) (.f64 eps eps))) (.f64 x x) (.f64 #s(literal 1/12 binary64) (.f64 eps eps))) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))) x))
#s(approx (* (* (sin x) eps) -1/2) (.f64 (.f64 x eps) #s(literal -1/2 binary64)))
#s(approx (* (* (sin x) eps) -1/2) (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) eps)) x))
#s(approx (* (* (sin x) eps) -1/2) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/240 binary64) (.f64 #s(literal 1/12 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) x))
#s(approx (* (* (sin x) eps) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/10080 binary64) (.f64 #s(literal -1/240 binary64) eps)) (.f64 #s(literal 1/12 binary64) eps)) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)) x))
#s(approx (* (sin x) eps) (*.f64 x eps))
#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 (- (sin (+ x eps)) (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)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (.f64 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))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (fma.f64 (.f64 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))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* 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 (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (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)) (.f64 eps (.f64 (sin.f64 x) eps)))
#s(approx (* (sin x) 1/24) (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
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#s(approx (* -1/2 (+ (* x eps) (* eps eps))) (.f64 (.f64 x eps) #s(literal -1/2 binary64)))
#s(approx (* -1/2 (+ (* x eps) (* eps eps))) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 eps eps) x) eps)) x))
#s(approx (+ (* x eps) (* eps eps)) (*.f64 x eps))
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#s(approx (* (sin (+ (neg x) (/ (PI) 2))) eps) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x)) eps))
#s(approx (cos x) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))
#s(approx (+ (neg x) (/ (PI) 2)) (neg.f64 x))
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#s(approx (cos x) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x))))
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#s(approx (sin eps) 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 (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) eps)
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#s(approx (* (* eps eps) 1/120) (.f64 (.f64 eps eps) #s(literal 1/120 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx eps eps)
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#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 (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 eps (.f64 (sin.f64 x) eps)) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps) (.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)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) (.f64 (.f64 eps (*.f64 (sin.f64 x) eps)) #s(literal -1/2 binary64)))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) (.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 (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
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#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) (.f64 (.f64 eps (*.f64 (sin.f64 x) eps)) #s(literal 1/24 binary64)))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (*.f64 (sin.f64 x) #s(literal 1/24 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 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (cos.f64 x))
#s(approx (+ (* (* -1/2 (+ x eps)) x) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 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 (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 x eps (.f64 x x)) #s(literal 1 binary64)) eps))
#s(approx (* -1/2 (+ (* x eps) (* eps eps))) (.f64 (.f64 (+.f64 x eps) #s(literal -1/2 binary64)) eps))
#s(approx (+ (* x eps) (* eps eps)) (*.f64 (+.f64 x eps) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (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 eps) (sin.f64 eps))
#s(approx (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) (.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/120 binary64)))
#s(approx (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))))
#s(approx (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) (.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (* (* eps eps) 1/120) 1/6) (.f64 (.f64 eps eps) #s(literal 1/120 binary64)))
#s(approx (- (* (* eps eps) 1/120) 1/6) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 eps eps))) (*.f64 eps eps)))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) (.f64 (.f64 #s(literal -1/720 binary64) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (*.f64 eps eps) eps))) (sin.f64 x)))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (* eps eps)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal -1/720 binary64))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (.f64 (.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) (sin.f64 x)) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64)))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) (.f64 (.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) (sin.f64 x)) #s(literal -1/720 binary64)))
#s(approx (* (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (* eps eps)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (.f64 (.f64 eps (*.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64)))
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#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)))
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#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))
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#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))
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#s(approx (+ (* (* -1/2 (+ (* x eps) (* eps eps))) x) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) (*.f64 eps eps)))
#s(approx (* -1/2 (+ (* x eps) (* eps eps))) (.f64 (-.f64 (.f64 (/.f64 x eps) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
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#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (.f64 eps (*.f64 (sin.f64 x) eps)) #s(literal -1/2 binary64)))
#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 (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1/120 binary64)) (pow.f64 eps #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* (* eps eps) 1/120) 1/6) (* eps eps)) 1) eps) (neg.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 5 binary64)))))
#s(approx (- (sin (+ x eps)) (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) (* eps eps))) x) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) x (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) eps))) (.f64 eps eps)))

eval57.0ms (0.9%)

Memory: -21.4MiB live, 68.2MiB allocated; 17ms collecting garbage
Compiler: Compiled 5 525 to 2 215 computations (59.9% saved)

prune29.0ms (0.5%)

Memory

-8.0MiB live, 38.0MiB allocated; 5ms collecting garbage

Pruning

27 alts after pruning (19 fresh and 8 done)

	Pruned	Kept	Total
New	376	5	381
Fresh	2	14	16
Picked	3	2	5
Done	1	6	7
Total	382	27	409

Accuracy

100.0%

Counts

409 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (.f64 #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))) (sin.f64 x)) (sin.f64 x)))
	100.0%	(fma.f64 (cos.f64 x) #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 (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 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))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))))
	99.8%	(fma.f64 #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)) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
	99.9%	(fma.f64 #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)) (cos.f64 x) #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))))
	99.6%	(fma.f64 #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)) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/4320 binary64) (.f64 eps eps) (-.f64 (.f64 (fma.f64 #s(literal -1/86400 binary64) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 x x)) #s(literal 1/144 binary64))) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/720 binary64))) #s(literal 1/24 binary64)) x)) (.f64 eps eps))) (.f64 eps eps))))
✓	61.9%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	61.3%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
✓	61.2%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)))
✓	61.4%	(-.f64 (sin.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (sin.f64 x))
	60.7%	(-.f64 (sin.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
✓	99.6%	#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)))
✓	99.6%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.9%	#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))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
✓	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #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))) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ x eps) x)) x #s(literal 1 binary64))) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ x eps) eps)) x #s(literal 1 binary64))) eps))
	47.7%	#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) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64))))) eps))
	5.2%	#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))
✓	5.8%	#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))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) x))) eps))
	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) #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)))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 (+.f64 x eps) eps) #s(literal -1/2 binary64)) x eps)))
✓	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
	98.3%	#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 1 071 to 784 computations (26.8% saved)

regimes40.0ms (0.6%)

Memory

-13.8MiB live, 41.1MiB allocated; 12ms collecting garbage

Counts

44 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.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)) #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)) (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 #s(literal -1/2 binary64) #s(approx (+ x eps) 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 #s(literal -1/2 binary64) #s(approx (+ x eps) x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 (+.f64 x eps) eps) #s(literal -1/2 binary64)) x 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)) #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)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #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))) 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) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (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)) (sin x)) #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)) (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 #s(approx (cos x) (sin.f64 (-.f64 (.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 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(-.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)))
#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 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (sin.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (sin.f64 x))
#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)))
(fma.f64 #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)) (cos.f64 x) #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))))
(fma.f64 #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)) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/4320 binary64) (.f64 eps eps) (-.f64 (.f64 (fma.f64 #s(literal -1/86400 binary64) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 x x)) #s(literal 1/144 binary64))) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/720 binary64))) #s(literal 1/24 binary64)) x)) (.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 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))))
(fma.f64 (sin.f64 eps) (cos.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))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (.f64 #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))) (sin.f64 x)) (sin.f64 x)))
(fma.f64 #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)) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (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 #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))))
(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 #s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/4320 binary64) (.f64 eps eps) (-.f64 (.f64 (fma.f64 #s(literal -1/86400 binary64) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 x x)) #s(literal 1/144 binary64))) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/720 binary64))) #s(literal 1/24 binary64)) x)) (.f64 eps eps))) (.f64 eps eps))))
(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 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 (.f64 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))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))))
(fma.f64 #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)) (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 (.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))))
(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 (.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))))

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
100.0%	1	`x`
100.0%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes30.0ms (0.5%)

Memory

38.5MiB live, 38.5MiB allocated; 0ms collecting garbage

Counts

41 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.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)) #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)) (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 #s(literal -1/2 binary64) #s(approx (+ x eps) 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 #s(literal -1/2 binary64) #s(approx (+ x eps) x)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (.f64 (.f64 (+.f64 x eps) eps) #s(literal -1/2 binary64)) x 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)) #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)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x eps)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #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))) 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) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64))))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (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)) (sin x)) #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)) (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 #s(approx (cos x) (sin.f64 (-.f64 (.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 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(-.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)))
#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 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (sin.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 #s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))) (sin.f64 x))
#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)))
(fma.f64 #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)) (cos.f64 x) #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))))
(fma.f64 #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)) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 #s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/4320 binary64) (.f64 eps eps) (-.f64 (.f64 (fma.f64 #s(literal -1/86400 binary64) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 x x)) #s(literal 1/144 binary64))) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/720 binary64))) #s(literal 1/24 binary64)) x)) (.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 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps))))
(fma.f64 (sin.f64 eps) (cos.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))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (.f64 #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))) (sin.f64 x)) (sin.f64 x)))
(fma.f64 #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)) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (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 #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))))
(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 #s(approx (+ (* (* (* eps eps) (sin x)) -1/720) (* (sin x) 1/24)) (.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/4320 binary64) (.f64 eps eps) (-.f64 (.f64 (fma.f64 #s(literal -1/86400 binary64) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 x x)) #s(literal 1/144 binary64))) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/720 binary64))) #s(literal 1/24 binary64)) x)) (.f64 eps eps))) (.f64 eps eps))))
(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
(fma.f64 #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)) (cos.f64 x) #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))))

Outputs

(fma.f64 #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)) (cos.f64 x) #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))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
99.9%	1	`x`
99.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes29.0ms (0.5%)

Memory

-13.3MiB live, 32.0MiB allocated; 6ms collecting garbage

Counts

31 → 1

Calls

Call 1

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

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:

13.0ms	eps
8.0ms	x
7.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes30.0ms (0.5%)

Memory

0.5MiB live, 44.2MiB allocated; 13ms collecting garbage

Counts

30 → 1

Calls

Call 1

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

15.0ms	x
7.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes35.0ms (0.5%)

Memory

-6.8MiB live, 37.6MiB allocated; 24ms collecting garbage

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms	x
7.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes15.0ms (0.2%)

Memory

26.6MiB live, 26.6MiB allocated; 0ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes70.0ms (1.1%)

Memory

-51.6MiB live, 24.7MiB allocated; 104ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

Calls

3 calls:

61.0ms	x
4.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms	eps

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)

regimes9.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

regimes8.0ms (0.1%)

Memory

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

Counts

8 → 1

Calls

Call 1

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

Calls

3 calls:

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

regimes17.0ms (0.3%)

Memory

-32.0MiB live, 14.3MiB allocated; 19ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	eps
2.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
2.0ms	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)

regimes5.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.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	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
2.0ms	x
2.0ms	eps

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)

regimes5.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Accuracy

Total -59.6b remaining (-5338.5%)

Threshold costs -59.6b (-5338.5%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

Calls

3 calls:

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

derivations429.0ms (6.7%)

Memory

-21.1MiB live, 260.0MiB allocated; 55ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 152 to 87 computations (42.8% saved)

preprocess139.0ms (2.2%)

Memory: 25.1MiB live, 216.6MiB allocated; 23ms collecting garbage
Compiler: Compiled 195 to 126 computations (35.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze32.0ms (0.5%)

sample4.5s (69.4%)

preprocess31.0ms (0.5%)

series11.0ms (0.2%)

rewrite136.0ms (2.1%)

eval10.0ms (0.1%)

prune9.0ms (0.1%)

series26.0ms (0.4%)

rewrite196.0ms (3%)

eval55.0ms (0.8%)

prune17.0ms (0.3%)

series39.0ms (0.6%)

rewrite156.0ms (2.4%)

eval44.0ms (0.7%)

prune18.0ms (0.3%)

series41.0ms (0.6%)

rewrite200.0ms (3.1%)

eval57.0ms (0.9%)

prune29.0ms (0.5%)

regimes40.0ms (0.6%)

regimes30.0ms (0.5%)

regimes29.0ms (0.5%)

regimes30.0ms (0.5%)

regimes35.0ms (0.5%)

regimes15.0ms (0.2%)

regimes70.0ms (1.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes17.0ms (0.3%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

derivations429.0ms (6.7%)

preprocess139.0ms (2.2%)

end0.0ms (0%)

Profiling