Metrics for 2sin (example 3.3)

start0.0ms (0%)

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

analyze47.0ms (0.7%)

Memory

-15.8MiB live, 41.2MiB allocated; 23ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample4.6s (67.7%)

Memory

75.9MiB live, 4 275.0MiB allocated; 1.9s collecting garbage

Samples

2.4s	25 467×	0	invalid
783.0ms	5 469×	1	valid
209.0ms	2 787×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-sin: 599.0ms (32.8% of total)

ival-fabs: 326.0ms (17.9% of total)

adjust: 284.0ms (15.6% of total)

ival-mult!: 198.0ms (10.8% of total)

ival-add!: 141.0ms (7.7% of total)

ival-<: 118.0ms (6.5% of total)

ival-sub!: 90.0ms (4.9% of total)

ival-and: 59.0ms (3.2% of total)

ival-assert: 11.0ms (0.6% of total)

Bogosity

preprocess99.0ms (1.4%)

Memory

-23.3MiB live, 22.6MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

6 → 36

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite135.0ms (2%)

Memory

50.6MiB live, 134.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

42 → 105

Calls

Call 1

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

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

eval20.0ms (0.3%)

Memory: -37.4MiB live, 22.1MiB allocated; 8ms collecting garbage
Compiler: Compiled 1 106 to 384 computations (65.3% saved)

prune6.0ms (0.1%)

Memory

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

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	8	98

Accuracy

100.0%

Counts

98 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.8%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
▶	99.8%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
	7.1%	(/.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))))
✓	62.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	99.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	99.2%	#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))
▶	98.9%	#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 178 to 170 computations (4.5% saved)

series50.0ms (0.7%)

Memory

-22.1MiB live, 23.8MiB allocated; 4ms collecting garbage

Counts

23 → 124

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

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	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)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) -1/6 (* (sin x) -1/2))
5.0ms	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)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) -1/6 (* (sin x) -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)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) -1/6 (* (sin x) -1/2))
4.0ms	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)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) -1/6 (* (sin x) -1/2))
3.0ms	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)) (* (cos x) eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) -1/2 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2)) -1/6 (* (sin x) -1/2))

rewrite233.0ms (3.4%)

Memory

11.4MiB live, 197.0MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	506	2862
0	542	2762
1	3131	2762
0	11906	2640

Stop Event

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

Counts

147 → 272

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

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

eval33.0ms (0.5%)

Memory: 39.8MiB live, 39.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 498 to 1 373 computations (69.5% saved)

prune22.0ms (0.3%)

Memory

-10.3MiB live, 34.8MiB allocated; 5ms collecting garbage

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	277	21	298
Fresh	2	0	2
Picked	3	2	5
Done	0	1	1
Total	282	24	306

Accuracy

100.0%

Counts

306 → 24

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)))
▶	99.7%	(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))))
	7.1%	(/.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)))
✓	62.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	62.7%	(.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)))))
▶	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
	99.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 #s(approx ( (cos x) eps) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 x eps)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
▶	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
✓	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
	98.7%	#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))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #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))) eps))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
▶	98.3%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) eps))
▶	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) #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)))

Compiler

Compiled 865 to 806 computations (6.8% saved)

series76.0ms (1.1%)

Memory

-12.2MiB live, 85.6MiB allocated; 48ms collecting garbage

Counts

51 → 212

Calls

Call 1

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

Outputs
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (sin eps)))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (cos eps) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240))) (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240))))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240)))))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))))) 1/240)))))) 1/2))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))) (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))) (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))) 1/144)))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ 1/2880 (+ (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)) (* (pow x 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960)))))) 1/144)))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* 1/40320 (pow eps 2)) 1/720)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/4320 (* -1/241920 (pow eps 2))))) (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/4838400 (pow eps 2)) 1/86400))) (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2))))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/3628800 (* -1/203212800 (pow eps 2))))) (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (* 1/40320 (pow eps 2)) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (* -1/241920 (pow eps 2))))) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (+ (* -1/241920 (pow eps 2)) (* (pow x 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))))) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (+ (* -1/241920 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4838400 (pow eps 2)) (* (pow x 2) (+ 1/3628800 (* -1/203212800 (pow eps 2))))) 1/86400)))))) 1/720))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* -1/6 (* (pow eps 2) (pow x 2))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* 1/120 (* (pow eps 2) (pow x 2))))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/5040 (* (pow eps 2) (pow x 2))) (* 1/120 (pow eps 2)))))) (pow eps 2)))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* -1/720 x)))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* 1/4320 (pow x 2)) 1/720))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4320 (* -1/86400 (pow x 2)))) 1/720))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4320 (* (pow x 2) (- (* 1/3628800 (pow x 2)) 1/86400)))) 1/720))))
#s(approx (- (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 (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (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 (+ (* (* (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 (* (+ (* (- (* (+ (* -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) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow x 2)))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (- (* (cos eps) (sin x)) (sin x))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) (sin x))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* -1/720 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* 1/24 (* eps (pow x 4)))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/24 eps) (/ eps (pow x 4)))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* 1/24 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))))
#s(approx (* (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 (+ (* (* (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 (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1/5040 (pow x 7))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* -1/5040 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* -1/5040 (pow x 4))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* 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) #s(hole binary64 (* -1/5040 (pow x 2))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (* (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 (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (cos x))))
#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)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* 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)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* -1/720 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* -1/720 (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 (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#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 (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* 1/40320 (* (pow eps 8) (sin x)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/2 (/ (sin x) (pow eps 6))) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4)))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* 1/40320 (* (pow eps 6) (sin x)))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 6))) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4)))))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* 1/40320 (* (pow eps 6) (sin x)))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* 1/40320 (* (pow eps 4) (sin x)))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* 1/40320 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* 1/40320 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -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 (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* -1 (* eps (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* -1/24 (pow x 2)))))))
#s(approx (+ (* (* (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
29.0ms	eps	@	inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) -1/2 (sin x) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) 1/24 (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* (* eps eps) (sin x)) (* eps eps) 1/40320 (* (sin x) -1/720) -1/720 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* (* x x) eps) (* x x) (* -1/2 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)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6 1)
12.0ms	x	@	inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) -1/2 (sin x) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) 1/24 (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* (* eps eps) (sin x)) (* eps eps) 1/40320 (* (sin x) -1/720) -1/720 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* (* x x) eps) (* x x) (* -1/2 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)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6 1)
10.0ms	eps	@	0	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) -1/2 (sin x) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) 1/24 (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* (* eps eps) (sin x)) (* eps eps) 1/40320 (* (sin x) -1/720) -1/720 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* (* x x) eps) (* x x) (* -1/2 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)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6 1)
7.0ms	x	@	-inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) -1/2 (sin x) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) 1/24 (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* (* eps eps) (sin x)) (* eps eps) 1/40320 (* (sin x) -1/720) -1/720 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* (* x x) eps) (* x x) (* -1/2 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)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6 1)
7.0ms	eps	@	-inf	((+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (cos x) x (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) -1/2 (sin x) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) 1/24 (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* (* eps eps) (sin x)) (* eps eps) 1/40320 (* (sin x) -1/720) -1/720 (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* (* x x) eps) (* x x) (* -1/2 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)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6 1)

rewrite195.0ms (2.8%)

Memory

33.6MiB live, 165.8MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	844	7118
0	917	6845
1	5003	6845
0	8428	6603

Stop Event

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

Counts

263 → 441

Calls

Call 1

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

Outputs
(/.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 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps))))) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))))))
(/.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 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps))))) #s(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 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps))))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))))))
(fma.f64 (cos.f64 x) (sin.f64 eps) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))))))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))))))
(+.f64 #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps))))) (.f64 (sin.f64 eps) (cos.f64 x)))
(sin.f64 eps)
eps
(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 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(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 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))) eps) eps)
(.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps))) (*.f64 eps eps))
(fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))))
(fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps)) (*.f64 eps eps)))
(+.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps)) (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps)) (.f64 eps eps)))
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(+.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(literal 1 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 x (-.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 (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- (* (cos eps) (sin x)) (sin x)) (*.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (.f64 x x) (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 x (-.f64 (fma.f64 (+.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 eps)) #s(literal 1/120 binary64)) (.f64 x x))) (*.f64 x x) (cos.f64 eps)) #s(literal 1 binary64))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 (cos.f64 eps) #s(literal 1/120 binary64) (-.f64 (.f64 (fma.f64 (cos.f64 eps) #s(literal -1/5040 binary64) #s(literal 1/5040 binary64)) (.f64 x x)) #s(literal 1/120 binary64))) (.f64 x x))) (.f64 x x) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 x x) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)))) x))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps) (.f64 (.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 eps eps)) #s(literal 1/240 binary64)) (.f64 x x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps) #s(literal 1/12 binary64)))) (*.f64 x x))) x))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 eps eps) (.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 eps eps)) #s(literal 1/120960 binary64)) (.f64 eps eps) #s(literal 1/10080 binary64)) (.f64 x x) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 eps eps)) #s(literal 1/240 binary64)))) (.f64 x x))) (.f64 x x) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))) x))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 x x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps))) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 eps eps)) #s(literal 1/240 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps))) #s(literal 1/12 binary64)) (.f64 x x))) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 eps eps)) #s(literal 1/120960 binary64)) (.f64 eps eps) #s(literal 1/10080 binary64)) (.f64 x x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 eps eps))) #s(literal 1/240 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps))) #s(literal 1/12 binary64)) (.f64 x x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps))) #s(literal 1/2 binary64)) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) x) (.f64 eps eps)))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 x x) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)))) x))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 x x) (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)))) (.f64 x x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps))) x))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 eps eps)) #s(literal 1/120960 binary64)) (.f64 x x) (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)))) (.f64 x x) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps))) (.f64 x x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps))) x))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) x))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (*.f64 eps eps))) #s(literal 1/24 binary64)) x))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 x x)) #s(literal 1/144 binary64))) (*.f64 x x))) x))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 eps eps)) #s(literal 1/120960 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps))) #s(literal 1/2880 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps))) #s(literal 1/144 binary64)) (.f64 x x))) x))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 x x) (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)))) x))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 x x) (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)))) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps))) x))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 x x) (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)))) (.f64 x x) (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps))) (.f64 x x) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps))) x))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) x))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (*.f64 x x)) #s(literal 1/720 binary64))) x))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 x x) (.f64 #s(literal -1/241920 binary64) (.f64 eps eps))) #s(literal 1/4320 binary64)) (.f64 x x) (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64))) #s(literal 1/720 binary64)) x))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/4838400 binary64) (.f64 eps eps) (-.f64 (.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 x x)) #s(literal 1/86400 binary64))) (.f64 x x) (.f64 #s(literal -1/241920 binary64) (.f64 eps eps))) #s(literal 1/4320 binary64)) (.f64 x x) (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64))) #s(literal 1/720 binary64)) x))
#s(approx (* (* eps eps) (sin x)) (.f64 (.f64 eps eps) x))
#s(approx (* (* eps eps) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 x x) (*.f64 eps eps)) x))
#s(approx (* (* eps eps) (sin x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 eps eps)) x))
#s(approx (* (* eps eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/5040 binary64)) (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/120 binary64))) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x x) (*.f64 eps eps)) x))
#s(approx (* (sin x) -1/720) (*.f64 #s(literal -1/720 binary64) x))
#s(approx (* (sin x) -1/720) (.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) x))
#s(approx (* (sin x) -1/720) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/86400 binary64) (.f64 x x) #s(literal 1/4320 binary64)) (.f64 x x)) #s(literal 1/720 binary64)) x))
#s(approx (* (sin x) -1/720) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3628800 binary64) (.f64 x x)) #s(literal 1/86400 binary64)) (.f64 x x) #s(literal 1/4320 binary64)) (.f64 x x)) #s(literal 1/720 binary64)) x))
#s(approx (- (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 (* (cos x) eps) eps)
#s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (* (cos x) eps) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) x) x eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) eps)
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) x) x eps))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* x x) eps) (.f64 (.f64 x x) eps))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (cos x) eps) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) eps))
#s(approx (* (cos x) 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 (* (cos x) eps) (fma.f64 x (fma.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) eps) #s(literal -1/2 binary64) (.f64 (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 (* (cos x) 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 #s(literal -1/2 binary64) x) (sin.f64 (.f64 (PI.f64) #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)) #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 (.f64 x eps) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64)))
#s(approx (* (sin x) eps) (*.f64 x eps))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.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 (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) x)
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (+ (* (- (* (+ (* -1/5040 (* 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)))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64))
#s(approx (+ (* -1/5040 (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
#s(approx (- (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)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 (sin.f64 x) #s(literal 1/24 binary64))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 eps eps)))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (*.f64 (sin.f64 x) #s(literal -1/720 binary64))))
#s(approx (* (* eps eps) (sin x)) (.f64 eps (.f64 (sin.f64 x) eps)))
#s(approx (* (sin x) -1/720) (*.f64 (sin.f64 x) #s(literal -1/720 binary64)))
#s(approx (- (sin (+ 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 (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) eps) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/24 binary64) eps (/.f64 eps (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/24 binary64)))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x)))
#s(approx (* (cos x) 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))
#s(approx (+ (neg x) (/ (PI) 2)) (.f64 (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (.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)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -1/5040 binary64)))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))))))
#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) (.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 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
#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 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))
#s(approx (+ (* -1/5040 (* x x)) 1/120) (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (*.f64 x x)))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (* (cos x) eps) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x))) eps))
#s(approx (cos x) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x))))
#s(approx (+ (neg x) (/ (PI) 2)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64) #s(literal 1 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 #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 (- (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 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (.f64 eps (*.f64 (sin.f64 x) eps)) #s(literal -1/2 binary64)))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (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)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (fma.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (.f64 eps (*.f64 (sin.f64 x) eps)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64) (*.f64 (sin.f64 x) #s(literal 1/24 binary64))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (.f64 eps (*.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64)))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (*.f64 (sin.f64 x) #s(literal -1/720 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 (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) eps))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (* -1/2 eps) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (cos.f64 x))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (.f64 (pow.f64 eps #s(literal 8 binary64)) (sin.f64 x)) #s(literal 1/40320 binary64)))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (*.f64 (sin.f64 x) #s(literal 1/40320 binary64))) (pow.f64 eps #s(literal 8 binary64))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64)))) (pow.f64 eps #s(literal 8 binary64))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/40320 binary64))))) (pow.f64 eps #s(literal 8 binary64))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (.f64 #s(literal 1/40320 binary64) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (*.f64 eps eps) eps))) (sin.f64 x)))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64))) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/40320 binary64))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64))))) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (.f64 #s(literal 1/40320 binary64) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (*.f64 eps eps) eps))) (sin.f64 x)))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64))) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/40320 binary64))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) (sin.f64 x)) #s(literal 1/40320 binary64)))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64)))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64)))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) (sin.f64 x)) #s(literal 1/40320 binary64)))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64)))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (.f64 eps (*.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64)))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64))) (.f64 eps eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (.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 (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (neg.f64 eps) (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64))))
#s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (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)))))

eval79.0ms (1.2%)

Memory: -28.9MiB live, 67.8MiB allocated; 33ms collecting garbage
Compiler: Compiled 7 624 to 2 850 computations (62.6% saved)

prune28.0ms (0.4%)

Memory

-15.7MiB live, 31.2MiB allocated; 2ms collecting garbage

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	408	10	418
Fresh	2	14	16
Picked	3	2	5
Done	0	3	3
Total	413	29	442

Accuracy

100.0%

Counts

442 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (sin.f64 eps) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))))
✓	99.8%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
	99.3%	(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 #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(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))))
	99.6%	(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 x) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))))
	7.1%	(/.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)))
✓	62.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶	62.7%	(.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)))))
✓	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
▶	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
	99.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 #s(approx ( (cos x) eps) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 x eps)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (sin.f64 #s(approx (+ (neg x) (/ (PI) 2)) (.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) eps))
✓	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
	98.7%	#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))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #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))) eps))
▶	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
	98.9%	#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) eps))
▶	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x (.f64 x eps)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) #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)))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 x x) eps)))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (neg.f64 eps) (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64))))))

Compiler

Compiled 1 200 to 1 101 computations (8.3% saved)

series44.0ms (0.6%)

Memory

2.5MiB live, 48.3MiB allocated; 3ms collecting garbage

Counts

53 → 250

Calls

Call 1

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

Outputs
#s(approx (+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* (sin eps) (sin (* 1/2 (PI))))))
#s(approx (+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (* (cos (* 1/2 (PI))) (sin eps))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (+ (* -1/2 (* x (* (sin eps) (sin (* 1/2 (PI)))))) (* (cos (* 1/2 (PI))) (sin eps)))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (+ (* x (+ (* -1/2 (* (sin eps) (sin (* 1/2 (PI))))) (* x (+ 1/6 (+ (* -1/6 (cos eps)) (* -1/6 (* (cos (* 1/2 (PI))) (sin eps)))))))) (* (cos (* 1/2 (PI))) (sin eps)))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx x #s(hole binary64 x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (cos eps) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240))) (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240))))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240)))))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))))) 1/240)))))) 1/2))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))) (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))) (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))) 1/144)))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ 1/2880 (+ (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)) (* (pow x 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960)))))) 1/144)))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* 1/40320 (pow eps 2)) 1/720)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/4320 (* -1/241920 (pow eps 2))))) (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/4838400 (pow eps 2)) 1/86400))) (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2))))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/3628800 (* -1/203212800 (pow eps 2))))) (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (* 1/40320 (pow eps 2)) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (* -1/241920 (pow eps 2))))) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (+ (* -1/241920 (pow eps 2)) (* (pow x 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))))) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (+ (* -1/241920 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4838400 (pow eps 2)) (* (pow x 2) (+ 1/3628800 (* -1/203212800 (pow eps 2))))) 1/86400)))))) 1/720))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* -1/6 (* (pow eps 2) (pow x 2))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* 1/120 (* (pow eps 2) (pow x 2))))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/5040 (* (pow eps 2) (pow x 2))) (* 1/120 (pow eps 2)))))) (pow eps 2)))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* -1/720 x)))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* 1/4320 (pow x 2)) 1/720))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4320 (* -1/86400 (pow x 2)))) 1/720))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4320 (* (pow x 2) (- (* 1/3628800 (pow x 2)) 1/86400)))) 1/720))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
#s(approx (* x (* x eps)) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* x eps) #s(hole binary64 (* eps x)))
#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 (* (+ (* (- (* (+ (* -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 (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (sin (/ (- (+ x eps) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- (+ x eps) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (+ x eps) x) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (/ (+ (+ x eps) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ x eps) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ x eps) x) #s(hole binary64 eps))
#s(approx (+ (+ x eps) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (sin eps) (sin (+ x (* 1/2 (PI)))))) (sin x))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 x))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (- (* (cos eps) (sin x)) (sin x))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) (sin x))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* -1/720 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* 1/24 (* eps (pow x 4)))))
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))))
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/24 eps) (/ eps (pow x 4)))))))
#s(approx (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) #s(hole binary64 (* 1/24 (* eps (pow x 2)))))
#s(approx (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))))
#s(approx (* (+ (* (* (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 (* (+ (* (- (* (+ (* -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 (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ x eps) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ x eps) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ x eps) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ x eps) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (sin eps) (sin (- (* 1/2 (PI)) (* -1 x))))) (sin x))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 x)))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ x eps) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ x eps) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (sin (+ x (* 1/2 (PI)))))))
#s(approx (+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (sin (+ x (* 1/2 (PI))))))))))))
#s(approx (+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (sin (+ x (* 1/2 (PI))))) (* 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)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* 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)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* -1/720 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* -1/720 (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 (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#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 (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (* eps (cos x))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))))
#s(approx (sin (/ (- (+ x eps) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ x eps) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ x eps) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ x eps) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (cos x)))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* 1/40320 (* (pow eps 8) (sin x)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/2 (/ (sin x) (pow eps 6))) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4)))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* 1/40320 (* (pow eps 6) (sin x)))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 6))) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4)))))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* 1/40320 (* (pow eps 6) (sin x)))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* 1/40320 (* (pow eps 4) (sin x)))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* 1/40320 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* 1/40320 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -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 (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (/ (+ (+ x eps) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ x eps) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* -1 (* eps (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)))))
#s(approx (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* -1/24 (pow x 2)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ x eps) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ x eps) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	eps	@	-inf	((+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) x (/ (PI) 2) (PI) 2 (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) -1/2 (sin x) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) 1/24 (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* (* eps eps) (sin x)) (* eps eps) 1/40320 (* (sin x) -1/720) -1/720 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x (* x eps)) (* x eps) (* -1/2 eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (cos x) (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (sin (/ (- (+ x eps) x) 2)) (/ (- (+ x eps) x) 2) (- (+ x eps) x) (+ x eps) (cos (/ (+ (+ x eps) x) 2)) (/ (+ (+ x eps) x) 2) (+ (+ x eps) x))
7.0ms	x	@	-inf	((+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) x (/ (PI) 2) (PI) 2 (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) -1/2 (sin x) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) 1/24 (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* (* eps eps) (sin x)) (* eps eps) 1/40320 (* (sin x) -1/720) -1/720 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x (* x eps)) (* x eps) (* -1/2 eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (cos x) (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (sin (/ (- (+ x eps) x) 2)) (/ (- (+ x eps) x) 2) (- (+ x eps) x) (+ x eps) (cos (/ (+ (+ x eps) x) 2)) (/ (+ (+ x eps) x) 2) (+ (+ x eps) x))
6.0ms	x	@	inf	((+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) x (/ (PI) 2) (PI) 2 (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) -1/2 (sin x) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) 1/24 (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* (* eps eps) (sin x)) (* eps eps) 1/40320 (* (sin x) -1/720) -1/720 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x (* x eps)) (* x eps) (* -1/2 eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (cos x) (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (sin (/ (- (+ x eps) x) 2)) (/ (- (+ x eps) x) 2) (- (+ x eps) x) (+ x eps) (cos (/ (+ (+ x eps) x) 2)) (/ (+ (+ x eps) x) 2) (+ (+ x eps) x))
6.0ms	eps	@	inf	((+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) x (/ (PI) 2) (PI) 2 (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) -1/2 (sin x) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) 1/24 (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* (* eps eps) (sin x)) (* eps eps) 1/40320 (* (sin x) -1/720) -1/720 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x (* x eps)) (* x eps) (* -1/2 eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (cos x) (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (sin (/ (- (+ x eps) x) 2)) (/ (- (+ x eps) x) 2) (- (+ x eps) x) (+ x eps) (cos (/ (+ (+ x eps) x) 2)) (/ (+ (+ x eps) x) 2) (+ (+ x eps) x))
5.0ms	eps	@	0	((+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) (sin eps) eps (sin (+ x (/ (PI) 2))) (+ x (/ (PI) 2)) x (/ (PI) 2) (PI) 2 (- (* (cos eps) (sin x)) (sin x)) (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) -1/2 (sin x) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) 1/24 (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* (* eps eps) (sin x)) (* eps eps) 1/40320 (* (sin x) -1/720) -1/720 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x (* x eps)) (* x eps) (* -1/2 eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (+ (* (* (sin x) eps) -1/2) (cos x)) (* (sin x) eps) (sin x) (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (cos x) (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (sin (/ (- (+ x eps) x) 2)) (/ (- (+ x eps) x) 2) (- (+ x eps) x) (+ x eps) (cos (/ (+ (+ x eps) x) 2)) (/ (+ (+ x eps) x) 2) (+ (+ x eps) x))

rewrite200.0ms (2.9%)

Memory

47.6MiB live, 140.1MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1086	8195
0	1161	7770
1	6610	7750
0	8451	7424

Stop Event

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

Counts

303 → 481

Calls

Call 1

Inputs
(fma.f64 (sin.f64 eps) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))))
(sin.f64 eps)
eps
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
x
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (*.f64 eps eps)))
#s(literal -1/2 binary64)
(sin.f64 x)
(.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (*.f64 eps eps))
(fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 eps eps)))
#s(literal 1/24 binary64)
(.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 eps eps))
(fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (*.f64 (sin.f64 x) #s(literal -1/720 binary64)))
(.f64 (.f64 eps eps) (sin.f64 x))
(*.f64 eps eps)
#s(literal 1/40320 binary64)
(*.f64 (sin.f64 x) #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
(.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps)
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x (.f64 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 (.f64 x eps)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
(fma.f64 (fma.f64 (.f64 x (.f64 x eps)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)
(fma.f64 (.f64 x (.f64 x eps)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) eps))
(.f64 x (.f64 x eps))
(*.f64 x eps)
(*.f64 #s(literal -1/2 binary64) eps)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)
(fma.f64 (.f64 #s(approx (sin x) #s(approx ( (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x))
(.f64 #s(approx (sin x) #s(approx ( (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) x)) eps)
#s(approx (sin x) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) x))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) x)
(cos.f64 x)
(.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 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64))))
(sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))
(-.f64 (+.f64 x eps) x)
(+.f64 x eps)
(cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64))
(+.f64 (+.f64 x eps) x)
#s(approx (+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* (sin eps) (sin (* 1/2 (PI))))))
#s(approx (+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (* (cos (* 1/2 (PI))) (sin eps))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (+ (* -1/2 (* x (* (sin eps) (sin (* 1/2 (PI)))))) (* (cos (* 1/2 (PI))) (sin eps)))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (+ (* x (- (+ (cos eps) (+ (* x (+ (* -1/2 (* (sin eps) (sin (* 1/2 (PI))))) (* x (+ 1/6 (+ (* -1/6 (cos eps)) (* -1/6 (* (cos (* 1/2 (PI))) (sin eps)))))))) (* (cos (* 1/2 (PI))) (sin eps)))) 1)) (* (sin eps) (sin (* 1/2 (PI)))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx x #s(hole binary64 x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (cos eps) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 1))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240))) (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240))))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (- (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) 1/240)))))) 1/2))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* x (- (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ 1/12 (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))) (* (pow x 2) (+ 1/10080 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))))) 1/240)))))) 1/2))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))) (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))) (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144))))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) (* (pow x 2) (+ (* (pow eps 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960))) (* (pow eps 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) 1/144)))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ 1/2880 (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))) 1/144)))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* x (+ 1/24 (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ 1/2880 (+ (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400)) (* (pow x 2) (- (* (pow eps 2) (+ 1/3628800 (* -1/203212800 (pow eps 2)))) 1/120960)))))) 1/144)))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (* x (- (* 1/40320 (pow eps 2)) 1/720)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (* (pow x 2) (+ 1/4320 (* -1/241920 (pow eps 2))))) (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (- (* 1/4838400 (pow eps 2)) 1/86400))) (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2))))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* x (+ (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)) (* (pow x 2) (+ (* (pow eps 2) (+ 1/4320 (* -1/241920 (pow eps 2)))) (* (pow x 2) (+ (* (pow eps 2) (* (pow x 2) (+ 1/3628800 (* -1/203212800 (pow eps 2))))) (* (pow eps 2) (- (* 1/4838400 (pow eps 2)) 1/86400))))))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (* 1/40320 (pow eps 2)) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (* -1/241920 (pow eps 2))))) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (+ (* -1/241920 (pow eps 2)) (* (pow x 2) (- (* 1/4838400 (pow eps 2)) 1/86400)))))) 1/720))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* x (- (+ (* 1/40320 (pow eps 2)) (* (pow x 2) (+ 1/4320 (+ (* -1/241920 (pow eps 2)) (* (pow x 2) (- (+ (* 1/4838400 (pow eps 2)) (* (pow x 2) (+ 1/3628800 (* -1/203212800 (pow eps 2))))) 1/86400)))))) 1/720))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) x)))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* -1/6 (* (pow eps 2) (pow x 2))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* 1/120 (* (pow eps 2) (pow x 2))))) (pow eps 2)))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/6 (pow eps 2)) (* (pow x 2) (+ (* -1/5040 (* (pow eps 2) (pow x 2))) (* 1/120 (pow eps 2)))))) (pow eps 2)))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* -1/720 x)))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* 1/4320 (pow x 2)) 1/720))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4320 (* -1/86400 (pow x 2)))) 1/720))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/4320 (* (pow x 2) (- (* 1/3628800 (pow x 2)) 1/86400)))) 1/720))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))))
#s(approx (* (cos x) eps) #s(hole binary64 eps))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (* (cos x) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 eps))
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))))
#s(approx (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) #s(hole binary64 (* -1/2 eps)))
#s(approx (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) #s(hole binary64 (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
#s(approx (* x (* x eps)) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* x eps) #s(hole binary64 (* eps x)))
#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 (* (+ (* (- (* (+ (* -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 (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (+ (* -1 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* -1/2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (+ (* x (+ (* -1 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1/2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/6 (* x (pow (sin (* 1/2 eps)) 2))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (sin (/ (- (+ x eps) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- (+ x eps) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (+ x eps) x) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))))
#s(approx (/ (+ (+ x eps) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ x eps) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ x eps) x) #s(hole binary64 eps))
#s(approx (+ (+ x eps) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (sin eps) (sin (+ x (* 1/2 (PI)))))) (sin x))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 x))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) #s(hole binary64 (- (* (cos eps) (sin x)) (sin x))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x))))))
#s(approx (* (* eps eps) (sin x)) #s(hole binary64 (* (pow eps 2) (sin x))))
#s(approx (* (sin x) -1/720) #s(hole binary64 (* -1/720 (sin x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (cos x) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* 1/24 (* eps (pow x 4)))))
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))))
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* (pow x 4) (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/24 eps) (/ eps (pow x 4)))))))
#s(approx (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) #s(hole binary64 (* 1/24 (* eps (pow x 2)))))
#s(approx (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (* 1/24 eps)))))
#s(approx (* (+ (* (* (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 (* (+ (* (- (* (+ (* -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 (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ x eps) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ x eps) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ x eps) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ x eps) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (- (+ (* (cos eps) (sin x)) (* (sin eps) (sin (- (* 1/2 (PI)) (* -1 x))))) (sin x))))
#s(approx (sin (+ x (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 x)))))
#s(approx (+ x (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ x eps) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ x eps) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (sin (+ x (* 1/2 (PI)))))))
#s(approx (+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (sin (+ x (* 1/2 (PI))))))))))))
#s(approx (+ (* (sin eps) (sin (+ x (/ (PI) 2)))) (- (* (cos eps) (sin x)) (sin x))) #s(hole binary64 (* eps (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (sin (+ x (* 1/2 (PI))))) (* 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)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* 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)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* 1/24 (sin x))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* -1/720 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* -1/720 (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 (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) #s(hole binary64 (* eps (- (* 1/24 (pow x 2)) 1/2))))
#s(approx (* -1/2 eps) #s(hole binary64 (* -1/2 eps)))
#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 (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (* eps (cos x))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (* 1/2 (* eps (cos x)))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (* eps (+ (* -1/4 (* eps (sin x))) (* 1/2 (cos x))))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/4 (sin x)) (* eps (+ (* -1/16 (cos x)) (+ (* -1/48 (cos x)) (* 1/48 (* eps (sin x))))))))))))
#s(approx (sin (/ (- (+ x eps) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ x eps) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ x eps) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ x eps) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (cos x)))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* 1/40320 (* (pow eps 8) (sin x)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 8) (+ (* -1/2 (/ (sin x) (pow eps 6))) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4)))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* 1/40320 (* (pow eps 6) (sin x)))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) #s(hole binary64 (* (pow eps 6) (+ (* -1/2 (/ (sin x) (pow eps 6))) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4)))))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* 1/40320 (* (pow eps 6) (sin x)))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) #s(hole binary64 (* (pow eps 6) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* 1/40320 (* (pow eps 4) (sin x)))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (+ (* 1/40320 (sin x)) (* 1/24 (/ (sin x) (pow eps 4))))))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* 1/40320 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* 1/40320 (* (pow eps 2) (sin x)))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) #s(hole binary64 (* (pow eps 2) (+ (* -1/720 (/ (sin x) (pow eps 2))) (* 1/40320 (sin x))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* -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 (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (/ (+ (+ x eps) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ x eps) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) #s(hole binary64 (* -1 (* eps (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)))))
#s(approx (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) #s(hole binary64 (* -1 (* eps (+ 1/2 (* -1/24 (pow x 2)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) #s(hole binary64 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ x eps) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ x eps) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))

Outputs
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps))))) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps))))))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))))))
(/.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 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps))))) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps))))) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps)))))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))))))
(fma.f64 (cos.f64 x) (sin.f64 eps) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))))))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))))))
(+.f64 #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps))))) (.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 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
x
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))) eps) eps)
(.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps))) (*.f64 eps eps))
(fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))))
(fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps)) (*.f64 eps eps)))
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(+.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps)))) (-.f64 (.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 1/40320 binary64) (.f64 (sin.f64 x) #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 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps))) (.f64 (.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 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps))))))
(fma.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) eps) eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))
(fma.f64 (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 1/40320 binary64) (.f64 (sin.f64 x) #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 eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (.f64 eps eps)))
(-.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64)))))
(+.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps)) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(+.f64 (.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 1/40320 binary64) (.f64 (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 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 (sin.f64 x) #s(literal 1/24 binary64))) eps) eps)
(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 (sin.f64 x) #s(literal 1/24 binary64))))
(.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))
(fma.f64 (.f64 eps eps) (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 eps eps))))
(fma.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (.f64 eps eps) (.f64 (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps)) (*.f64 eps eps)))
(+.f64 (.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (.f64 eps eps)) (.f64 (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps)) (.f64 eps eps)))
(+.f64 (.f64 (.f64 eps eps) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 (.f64 eps eps) (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps)))) (-.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps)) (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))))))
(fma.f64 (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) eps) eps (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))
(fma.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps) (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 eps eps)))
(fma.f64 (sin.f64 x) #s(literal 1/24 binary64) (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 eps eps)))
(-.f64 (.f64 (sin.f64 x) #s(literal 1/24 binary64)) (.f64 (neg.f64 (.f64 eps eps)) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64)))))
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(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (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 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 x eps))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))) (-.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (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 x x)))) (.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))))))
(fma.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
(fma.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 (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (-.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
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(*.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 (+.f64 (sin.f64 (-.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64)) (neg.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64))))) (sin.f64 (+.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64)) (neg.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64)))) (cos.f64 (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))))) #s(literal 2 binary64))
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(sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64)))
(-.f64 (.f64 (sin.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (+.f64 x eps) x)) #s(literal -2 binary64))
(/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x)) (+.f64 (+.f64 x eps) x))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (fma.f64 x x (*.f64 (+.f64 x eps) x))))
(-.f64 (+.f64 x eps) x)
(+.f64 x (-.f64 eps x))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
(/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 eps eps) (.f64 x eps))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 x eps))))
(+.f64 x eps)
(+.f64 eps x)
(sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (.f64 (cos.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64))))
(cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))
(+.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (+.f64 x eps) x)) #s(literal -2 binary64))
(/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64))
(+.f64 (/.f64 (+.f64 x eps) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 x eps) (+.f64 x eps)) (.f64 x x)) (-.f64 (+.f64 x eps) x))
(/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (-.f64 (.f64 x x) (.f64 (+.f64 x eps) x))))
(+.f64 (+.f64 x eps) x)
(+.f64 x (+.f64 x eps))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps)))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (fma.f64 (-.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)) x (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (fma.f64 (-.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps))) (cos.f64 eps)) #s(literal 1 binary64)) x (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (fma.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps) (cos.f64 eps)) #s(literal 1/6 binary64)) x (.f64 (.f64 (sin.f64 eps) #s(literal -1/2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))))) x (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps))) (cos.f64 eps)) #s(literal 1 binary64)) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 eps))))
#s(approx (cos x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (cos x) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) x (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (cos x) (fma.f64 x (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) x) #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (cos x) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) x) #s(literal -1/6 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1/2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ x (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ x (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
#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 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (.f64 x x) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 x (-.f64 (fma.f64 (+.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (cos.f64 eps)) #s(literal 1/120 binary64)) (.f64 x x))) (*.f64 x x) (cos.f64 eps)) #s(literal 1 binary64))))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 (cos.f64 eps) #s(literal 1/120 binary64) (-.f64 (.f64 (fma.f64 (cos.f64 eps) #s(literal -1/5040 binary64) #s(literal 1/5040 binary64)) (.f64 x x)) #s(literal 1/120 binary64))) (.f64 x x))) (.f64 x x) (cos.f64 eps)) #s(literal 1 binary64)) x))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 x x) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)))) x))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps) (.f64 (.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 eps eps)) #s(literal 1/240 binary64)) (.f64 x x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps) #s(literal 1/12 binary64)))) (*.f64 x x))) x))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 eps eps) (.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 eps eps)) #s(literal 1/120960 binary64)) (.f64 eps eps) #s(literal 1/10080 binary64)) (.f64 x x) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 eps eps)) #s(literal 1/240 binary64)))) (.f64 x x))) (.f64 x x) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))) x))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 x x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps))) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 eps eps)) #s(literal 1/240 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps))) #s(literal 1/12 binary64)) (.f64 x x))) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 eps eps)) #s(literal 1/120960 binary64)) (.f64 eps eps) #s(literal 1/10080 binary64)) (.f64 x x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 eps eps))) #s(literal 1/240 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps))) #s(literal 1/12 binary64)) (.f64 x x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps))) #s(literal 1/2 binary64)) x))
#s(approx (sin x) 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 x x) (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) x) (.f64 eps eps)))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 x x) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)))) x))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 x x) (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)))) (.f64 x x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps))) x))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 eps eps)) #s(literal 1/120960 binary64)) (.f64 x x) (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)))) (.f64 x x) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 eps eps))) (.f64 x x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps))) x))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) x))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps)) #s(literal 1/144 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (*.f64 eps eps))) #s(literal 1/24 binary64)) x))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps) #s(literal 1/2880 binary64)) (.f64 x x)) #s(literal 1/144 binary64))) (*.f64 x x))) x))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 eps eps)) #s(literal 1/120960 binary64)) (.f64 x x) (.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 eps eps))) #s(literal 1/2880 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps))) #s(literal 1/144 binary64)) (.f64 x x))) x))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (.f64 (.f64 eps eps) x) (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 x x) (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)))) x))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 x x) (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)))) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps))) x))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 x x) (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)))) (.f64 x x) (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (.f64 eps eps))) (.f64 x x) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) (.f64 eps eps))) x))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64)) #s(literal 1/720 binary64)) x))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/40320 binary64) (-.f64 (.f64 (fma.f64 #s(literal -1/241920 binary64) (.f64 eps eps) #s(literal 1/4320 binary64)) (*.f64 x x)) #s(literal 1/720 binary64))) x))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4838400 binary64) (.f64 eps eps)) #s(literal 1/86400 binary64)) (.f64 x x) (.f64 #s(literal -1/241920 binary64) (.f64 eps eps))) #s(literal 1/4320 binary64)) (.f64 x x) (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64))) #s(literal 1/720 binary64)) x))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/4838400 binary64) (.f64 eps eps) (-.f64 (.f64 (fma.f64 #s(literal -1/203212800 binary64) (.f64 eps eps) #s(literal 1/3628800 binary64)) (.f64 x x)) #s(literal 1/86400 binary64))) (.f64 x x) (.f64 #s(literal -1/241920 binary64) (.f64 eps eps))) #s(literal 1/4320 binary64)) (.f64 x x) (.f64 (*.f64 eps eps) #s(literal 1/40320 binary64))) #s(literal 1/720 binary64)) x))
#s(approx (* (* eps eps) (sin x)) (.f64 (.f64 eps eps) x))
#s(approx (* (* eps eps) (sin x)) (.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 x x) (*.f64 eps eps)) x))
#s(approx (* (* eps eps) (sin x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 eps eps)) x))
#s(approx (* (* eps eps) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -1/5040 binary64)) (.f64 x x) (.f64 (.f64 eps eps) #s(literal 1/120 binary64))) (.f64 x x) (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) (.f64 x x) (*.f64 eps eps)) x))
#s(approx (* (sin x) -1/720) (*.f64 #s(literal -1/720 binary64) x))
#s(approx (* (sin x) -1/720) (.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) x))
#s(approx (* (sin x) -1/720) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/86400 binary64) (.f64 x x) #s(literal 1/4320 binary64)) (.f64 x x)) #s(literal 1/720 binary64)) x))
#s(approx (* (sin x) -1/720) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3628800 binary64) (.f64 x x)) #s(literal 1/86400 binary64)) (.f64 x x) #s(literal 1/4320 binary64)) (.f64 x x)) #s(literal 1/720 binary64)) x))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (sin.f64 eps))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (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 (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (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) eps) eps)
#s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (* (cos x) eps) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) x) x eps))
#s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/2) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) eps)
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) x) x eps))
#s(approx (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* x (* x eps)) (.f64 (.f64 x x) eps))
#s(approx (* x eps) (*.f64 x 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 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 x eps) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64)))
#s(approx (* (sin x) eps) (*.f64 x eps))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.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 (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) x)
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) x) #s(literal -2 binary64) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64) (neg.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (sin.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) (neg.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))) x (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) #s(literal -2 binary64))) x (sin.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))) x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)))) x (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))))) x (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps)))))
#s(approx (sin (/ (- (+ x eps) x) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (/ (- (+ x eps) x) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- (+ x eps) x) eps)
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 x eps))
#s(approx (cos (/ (+ (+ x eps) x) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (cos (/ (+ (+ x eps) x) 2)) (fma.f64 (neg.f64 x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) (fma.f64 x (-.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) x) #s(literal -1/2 binary64)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) (fma.f64 x (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) x) #s(literal 1/6 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64))) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (/ (+ (+ x eps) x) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (+ x eps) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))
#s(approx (+ (+ x eps) x) eps)
#s(approx (+ (+ x eps) x) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (-.f64 (fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x)))
#s(approx (cos x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
#s(approx (+ x (/ (PI) 2)) x)
#s(approx (+ x (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 (sin.f64 x) #s(literal 1/24 binary64))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (*.f64 eps eps)))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (*.f64 (sin.f64 x) #s(literal -1/720 binary64))))
#s(approx (* (* eps eps) (sin x)) (.f64 eps (.f64 (sin.f64 x) eps)))
#s(approx (* (sin x) -1/720) (*.f64 (sin.f64 x) #s(literal -1/720 binary64)))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
#s(approx (* (cos x) eps) (*.f64 (cos.f64 x) eps))
#s(approx (cos x) (cos.f64 x))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) eps) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/24 binary64) eps (/.f64 eps (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/24 binary64)))
#s(approx (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) eps)) (.f64 x x)))
#s(approx (* (+ (* (* (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 (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (.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)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) (.f64 (-.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ x eps) x)
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (cos (/ (+ (+ x eps) x) 2)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ x eps) x) 2) x)
#s(approx (/ (+ (+ x eps) x) 2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (+ x eps) x) (+.f64 x x))
#s(approx (+ (+ x eps) x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) x))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (-.f64 (fma.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 x))) (sin.f64 eps) (.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x)))
#s(approx (cos x) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 x))))
#s(approx (+ x (/ (PI) 2)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 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 (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ x eps) x) 2) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (+ (+ x eps) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64))))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) eps))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (.f64 (fma.f64 eps (fma.f64 (.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) eps))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (.f64 (fma.f64 (fma.f64 (fma.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.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 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
#s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (.f64 eps (*.f64 (sin.f64 x) eps)) #s(literal -1/2 binary64)))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (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)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps eps)))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (fma.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 eps eps) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (.f64 eps (*.f64 (sin.f64 x) eps)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (fma.f64 (.f64 eps (.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64) (*.f64 (sin.f64 x) #s(literal 1/24 binary64))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (.f64 eps (*.f64 (sin.f64 x) eps)) #s(literal -1/720 binary64)))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (*.f64 (sin.f64 x) #s(literal -1/720 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (*.f64 (cos.f64 x) eps))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (.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 (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (.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 (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) eps))
#s(approx (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (* -1/2 eps) (*.f64 #s(literal -1/2 binary64) 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 (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (*.f64 (cos.f64 x) eps))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (.f64 (fma.f64 eps (fma.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/12 binary64)) eps) #s(literal 2 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) #s(literal -1/12 binary64)) #s(literal 2 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) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) eps))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal -1/4 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) #s(literal -1/12 binary64)) eps)) eps)) eps))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/12 binary64) (.f64 #s(literal 1/48 binary64) (.f64 (sin.f64 x) eps))) (*.f64 (sin.f64 x) #s(literal -1/4 binary64))) eps)) eps))
#s(approx (sin (/ (- (+ x eps) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (/ (- (+ x eps) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- (+ x eps) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- (+ x eps) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (cos (/ (+ (+ x eps) x) 2)) (cos.f64 x))
#s(approx (cos (/ (+ (+ x eps) x) 2)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (cos (/ (+ (+ x eps) x) 2)) (fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
#s(approx (cos (/ (+ (+ x eps) x) 2)) (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/48 binary64) (.f64 #s(literal -1/8 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (.f64 (pow.f64 eps #s(literal 8 binary64)) (sin.f64 x)) #s(literal 1/40320 binary64)))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (*.f64 (sin.f64 x) #s(literal 1/40320 binary64))) (pow.f64 eps #s(literal 8 binary64))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64)))) (pow.f64 eps #s(literal 8 binary64))))
#s(approx (* (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (* eps eps)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64))))) (pow.f64 eps #s(literal 8 binary64))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (.f64 (pow.f64 eps #s(literal 6 binary64)) (sin.f64 x)) #s(literal 1/40320 binary64)))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (*.f64 (sin.f64 x) #s(literal 1/40320 binary64)))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64))))))
#s(approx (+ (* -1/2 (sin x)) (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64))))) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (.f64 (pow.f64 eps #s(literal 6 binary64)) (sin.f64 x)) #s(literal 1/40320 binary64)))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (*.f64 (sin.f64 x) #s(literal 1/40320 binary64)))))
#s(approx (* (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (* eps eps)) (.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64))))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) (sin.f64 x)) #s(literal 1/40320 binary64)))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64)))))
#s(approx (+ (* 1/24 (sin x)) (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps))) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (fma.f64 (/.f64 (sin.f64 x) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 1/24 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64)))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) (sin.f64 x)) #s(literal 1/40320 binary64)))
#s(approx (* (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64)))))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (.f64 eps (*.f64 (sin.f64 x) eps)) #s(literal 1/40320 binary64)))
#s(approx (+ (* (* (* eps eps) (sin x)) 1/40320) (* (sin x) -1/720)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/720 binary64) (.f64 (sin.f64 x) #s(literal 1/40320 binary64))) (.f64 eps eps)))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (.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 (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (/ (+ (+ x eps) x) 2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))
#s(approx (+ (+ x eps) x) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (+ (* (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (neg.f64 eps) (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64))))
#s(approx (+ (* (* x (* x eps)) 1/24) (* -1/2 eps)) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (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 (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (.f64 (.f64 (cos.f64 (.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
#s(approx (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (.f64 (cos.f64 (.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (cos (/ (+ (+ x eps) x) 2)) (cos.f64 (*.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ x eps) x) 2) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64))))
#s(approx (+ (+ x eps) x) (.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 1 binary64))))

eval66.0ms (1%)

Memory: -17.2MiB live, 73.2MiB allocated; 9ms collecting garbage
Compiler: Compiled 8 004 to 2 733 computations (65.9% saved)

prune36.0ms (0.5%)

Memory

-8.3MiB live, 43.0MiB allocated; 9ms collecting garbage

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	428	10	438
Fresh	11	8	19
Picked	2	3	5
Done	1	4	5
Total	442	25	467

Accuracy

100.0%

Counts

467 → 25

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)))
✓	62.7%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	32.4%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (-.f64 (.f64 x x) (.f64 (+.f64 x eps) x)))) #s(literal 2 binary64)))))
	99.7%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ x eps) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
	99.6%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ x eps) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
	99.4%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ x eps) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
	99.2%	(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ x eps) x) 2)) (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
	99.9%	(.f64 #s(literal 2 binary64) #s(approx ( (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
✓	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (sin.f64 #s(approx (+ (neg x) (/ (PI) 2)) (.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) eps))
✓	98.9%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
	98.7%	#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))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
✓	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
	98.9%	#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))
	5.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #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) eps))
✓	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x (.f64 x eps)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
	98.8%	#s(approx (- (sin (+ x eps)) (sin x)) #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)))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 x x) eps)))
	98.7%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (neg.f64 eps) (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64))))))
	98.9%	#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) eps))

Compiler

Compiled 1 083 to 859 computations (20.7% saved)

regimes41.0ms (0.6%)

Memory

-10.2MiB live, 35.4MiB allocated; 6ms collecting garbage

Counts

49 → 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 (cos x) #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (neg.f64 eps) (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x (.f64 x eps)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) #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 x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.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))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (sin.f64 #s(approx (+ (neg x) (/ (PI) 2)) (.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ x eps) x) 2)) (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ x eps) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 x eps)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ x eps) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ x eps) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 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))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 #s(approx ( (cos x) eps) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
(.f64 #s(literal 2 binary64) #s(approx ( (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(.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)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) 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 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (-.f64 (.f64 x x) (.f64 (+.f64 x eps) x)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.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 (-.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)))
(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)))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 #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(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))))
(fma.f64 #s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 eps eps)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 x) #s(approx (- ( (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))))
(fma.f64 (sin.f64 eps) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (- (* (cos eps) (sin x)) (sin x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (.f64 eps eps) (sin.f64 x)) #s(literal 1/40320 binary64) (.f64 (sin.f64 x) #s(literal -1/720 binary64))) (.f64 eps eps))) (.f64 eps eps))) (*.f64 eps eps))))

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

Outputs

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

Calls

3 calls:

15.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
11.0ms	x
11.0ms	eps

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)

regimes27.0ms (0.4%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Counts

36 → 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 (cos x) #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (neg.f64 eps) (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x (.f64 x eps)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) #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 x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.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))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (sin.f64 #s(approx (+ (neg x) (/ (PI) 2)) (.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ x eps) x) 2)) (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ x eps) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 x eps)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ x eps) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ x eps) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 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))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 #s(approx ( (cos x) eps) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))

Outputs
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ x eps) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))

Outputs

(*.f64 #s(literal 2 binary64) (*.f64 #s(approx (sin (/ (- (+ x eps) x) 2)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes25.0ms (0.4%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Counts

33 → 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 (cos x) #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (neg.f64 eps) (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x (.f64 x eps)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) #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 x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.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))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (sin.f64 #s(approx (+ (neg x) (/ (PI) 2)) (.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ x eps) x) 2)) (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ x eps) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 x eps)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ x eps) x) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))

Outputs

(*.f64 #s(literal 2 binary64) (*.f64 #s(approx (sin (/ (- (+ x eps) x) 2)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))

Calls

3 calls:

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

regimes26.0ms (0.4%)

Memory

-23.1MiB live, 23.6MiB allocated; 2ms 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 (cos x) #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #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))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 #s(approx (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (+ (* (* (* x x) eps) 1/24) (* -1/2 eps)) (* x x)) eps) (.f64 (neg.f64 eps) (-.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64))))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 x (.f64 x eps)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) #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 x)) (.f64 #s(approx (+ ( eps (+ (* (* (cos x) eps) -1/6) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (* 2 (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.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))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) #s(approx (* (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) x) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (sin.f64 #s(approx (+ (neg x) (/ (PI) 2)) (.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ x eps) x) 2)) (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
(.f64 #s(literal 2 binary64) (.f64 #s(approx (sin (/ (- (+ x eps) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) #s(literal 2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( (* (cos x) eps) -1/6) (* (sin x) -1/2)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/12 binary64) (+.f64 x eps)) x) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (+ (* -1/5040 (* x x)) 1/120) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes20.0ms (0.3%)

Memory

28.4MiB live, 28.4MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes20.0ms (0.3%)

Memory

-29.6MiB live, 17.4MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

3 calls:

7.0ms	eps
6.0ms	x
6.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes18.0ms (0.3%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes13.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

Outputs

#s(approx (- (sin (+ x eps)) (sin x)) #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)))

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes38.0ms (0.6%)

Memory

-45.6MiB live, 9.9MiB allocated; 35ms collecting garbage

Counts

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes10.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (.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:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB 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 (cos x) #s(approx (+ ( (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Accuracy

Total -59.5b remaining (-5611.3%)

Threshold costs -59.5b (-5611.3%)

Counts

2 → 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 (cos x) #s(approx (+ (* (* x x) -1/2) 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	x
1.0ms	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)

derivations473.0ms (6.9%)

Memory

-7.6MiB live, 270.5MiB allocated; 39ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 156 to 110 computations (29.5% saved)

preprocess117.0ms (1.7%)

Memory: 27.5MiB live, 174.1MiB allocated; 17ms collecting garbage
Compiler: Compiled 199 to 149 computations (25.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze47.0ms (0.7%)

sample4.6s (67.7%)

preprocess99.0ms (1.4%)

series5.0ms (0.1%)

rewrite135.0ms (2%)

eval20.0ms (0.3%)

prune6.0ms (0.1%)

series50.0ms (0.7%)

rewrite233.0ms (3.4%)

eval33.0ms (0.5%)

prune22.0ms (0.3%)

series76.0ms (1.1%)

rewrite195.0ms (2.8%)

eval79.0ms (1.2%)

prune28.0ms (0.4%)

series44.0ms (0.6%)

rewrite200.0ms (2.9%)

eval66.0ms (1%)

prune36.0ms (0.5%)

regimes41.0ms (0.6%)

regimes27.0ms (0.4%)

regimes25.0ms (0.4%)

regimes26.0ms (0.4%)

regimes20.0ms (0.3%)

regimes20.0ms (0.3%)

regimes18.0ms (0.3%)

regimes13.0ms (0.2%)

regimes38.0ms (0.6%)

regimes10.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

derivations473.0ms (6.9%)

preprocess117.0ms (1.7%)

end0.0ms (0%)

Profiling