Metrics for 2sin (example 3.3)

start0.0ms (0%)

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

analyze35.0ms (0.5%)

Memory

-10.7MiB live, 35.6MiB allocated; 5ms 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)

sample4.9s (70.2%)

Memory

124.9MiB live, 5 992.5MiB allocated; 1.8s collecting garbage

Samples

2.6s	26 196×	0	invalid
699.0ms	5 541×	1	valid
167.0ms	2 715×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-sin: 677.0ms (32.6% of total)

ival-mult!: 427.0ms (20.6% of total)

ival-fabs: 359.0ms (17.3% of total)

ival-add!: 149.0ms (7.2% of total)

adjust: 148.0ms (7.1% of total)

ival-<: 135.0ms (6.5% of total)

ival-sub!: 99.0ms (4.8% of total)

ival-and: 64.0ms (3.1% of total)

ival-assert: 16.0ms (0.8% of total)

Bogosity

preprocess49.0ms (0.7%)

Memory

-41.4MiB live, 13.5MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	42	42
2	81	42
3	153	42
4	380	42
5	1121	42
6	3318	42
7	6688	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.2%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

6 → 36

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite176.0ms (2.5%)

Memory

-2.4MiB live, 237.4MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	538
0	155	522
1	979	516
0	8754	481

Stop Event

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

Counts

42 → 111

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

eval11.0ms (0.2%)

Memory: 21.7MiB live, 21.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 160 to 394 computations (66% saved)

prune9.0ms (0.1%)

Memory

-27.4MiB live, 19.3MiB allocated; 2ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	91	11	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	12	103

Accuracy

100.0%

Counts

103 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.4%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
	99.3%	(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
✓	64.2%	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
	62.7%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
▶	62.9%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)))
▶	62.4%	(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
▶	64.1%	(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.7%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
▶	99.8%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
▶	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))

Compiler

Compiled 298 to 282 computations (5.4% saved)

series38.0ms (0.6%)

Memory

16.4MiB live, 61.8MiB allocated; 3ms collecting garbage

Counts

44 → 212

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
(.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x))
eps
(fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))
(*.f64 (sin.f64 x) eps)
(sin.f64 x)
x
#s(literal 1/24 binary64)
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(cos.f64 x)
#s(literal -1/6 binary64)
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)))
#s(approx (sin x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(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)
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
(sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(-.f64 (+.f64 eps x) x)
(+.f64 eps x)
(cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(+.f64 (+.f64 eps x) 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 (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos x) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin eps)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) #s(hole binary64 (* -1/6 x)))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) #s(hole binary64 (* x (- (* 1/120 (pow x 2)) 1/6))))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #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 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* 2 (sin (* 1/2 eps)))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) 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 (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 (* -1/5040 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) #s(hole binary64 (* -1/5040 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) #s(hole binary64 (* -1/5040 (pow x 5))))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) #s(hole binary64 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) #s(hole binary64 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(hole binary64 (* -1/5040 (pow x 4))))
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #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 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 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 (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin x)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 eps))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ 1 (* -1/24 (pow eps 2))))))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/1920 (pow eps 2)) 1/24))))))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/1920 (* -1/322560 (pow eps 2)))) 1/24))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ eps x) 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 (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) 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 (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (sin x) (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- (+ eps x) x) 2))) 2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x) (+ eps x) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x))
6.0ms	x	@	0	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (sin x) (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- (+ eps x) x) 2))) 2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x) (+ eps x) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x))
6.0ms	x	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (sin x) (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- (+ eps x) x) 2))) 2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x) (+ eps x) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x))
6.0ms	eps	@	inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (sin x) (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- (+ eps x) x) 2))) 2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x) (+ eps x) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x))
4.0ms	eps	@	-inf	((- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (* (sin x) eps) (sin x) x 1/24 (* (cos x) -1/6) (cos x) -1/6 (* (sin x) -1/2) -1/2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (sin x) (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- (+ eps x) x) 2))) 2 (sin (/ (- (+ eps x) x) 2)) (/ (- (+ eps x) x) 2) (- (+ eps x) x) (+ eps x) (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x))

rewrite173.0ms (2.5%)

Memory

30.9MiB live, 219.5MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	811	5365
0	874	5095
1	4596	5075
0	8083	4852

Stop Event

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

Counts

256 → 431

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
(.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x))
eps
(fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))
(*.f64 (sin.f64 x) eps)
(sin.f64 x)
x
#s(literal 1/24 binary64)
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(cos.f64 x)
#s(literal -1/6 binary64)
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)))
#s(approx (sin x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64))
(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)
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
(sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(-.f64 (+.f64 eps x) x)
(+.f64 eps x)
(cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(+.f64 (+.f64 eps x) 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 (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/6 eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6)))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (cos x) -1/6) #s(hole binary64 -1/6))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin eps)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (cos eps)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) #s(hole binary64 (* -1/6 x)))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) #s(hole binary64 (* x (- (* 1/120 (pow x 2)) 1/6))))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #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 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* 2 (sin (* 1/2 eps)))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) 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 (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (sin x) -1/2) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 (* -1/5040 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) #s(hole binary64 (* -1/5040 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) #s(hole binary64 (* -1/5040 (pow x 5))))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) #s(hole binary64 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) #s(hole binary64 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(hole binary64 (* -1/5040 (pow x 4))))
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))))
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(hole binary64 (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #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 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 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 (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (cos x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* -1/2 (sin x))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin x)))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (cos x)))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 eps))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ 1 (* -1/24 (pow eps 2))))))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/1920 (pow eps 2)) 1/24))))))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/1920 (* -1/322560 (pow eps 2)))) 1/24))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* 1/2 eps)))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- (+ eps x) x) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- (+ eps x) 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 (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3))))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) 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 (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))

Outputs
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
(.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps)
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (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))) eps) eps))
(fma.f64 (cos.f64 x) eps (.f64 eps (.f64 (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))) eps)))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 (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))) eps) eps))
(fma.f64 eps (cos.f64 x) (.f64 eps (.f64 (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))) eps)))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (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))) eps) eps))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (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))) eps)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (.f64 (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))) eps) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (.f64 (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))) eps)))
(/.f64 (-.f64 (pow.f64 (.f64 (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))) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (.f64 (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))) eps) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (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))) eps) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (pow.f64 (.f64 (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))) eps) #s(literal 2 binary64)) (.f64 (cos.f64 x) (.f64 (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))) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (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))) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (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))) eps) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 (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))) eps) (cos.f64 x)))))
(fma.f64 (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))) eps (cos.f64 x))
(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))
(-.f64 (cos.f64 x) (.f64 (neg.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)))))
(+.f64 (.f64 (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))) eps) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (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))) eps))
eps
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
(fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) 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)))
(-.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (neg.f64 eps) (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))))
(-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps) (.f64 (neg.f64 (sin.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (.f64 (sin.f64 x) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps))
(+.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps) (.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (.f64 (cos.f64 x) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/13824 binary64) (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/6 binary64)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))))))
(fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))
(fma.f64 (.f64 #s(literal 1/24 binary64) eps) (sin.f64 x) (.f64 (cos.f64 x) #s(literal -1/6 binary64)))
(fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))
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(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/1728000 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (.f64 (.f64 x x) #s(literal -1/5040 binary64)) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(-.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
(.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #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 x x))))) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))
(neg.f64 (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (+.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(+.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
(sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))
(-.f64 (.f64 (sin.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (+.f64 eps x) x)) #s(literal -2 binary64))
(/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 x x)) (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x)) (fma.f64 (+.f64 eps x) (+.f64 eps x) (fma.f64 x x (*.f64 (+.f64 eps x) x))))
(neg.f64 (-.f64 x (+.f64 eps x)))
(-.f64 (+.f64 eps x) x)
(+.f64 (+.f64 eps x) (neg.f64 x))
(+.f64 eps (-.f64 x x))
(/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (-.f64 x eps))
(/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps)) (fma.f64 x x (-.f64 (.f64 eps eps) (*.f64 eps x))))
(+.f64 eps x)
(+.f64 x eps)
(sin.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (.f64 (cos.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(+.f64 (.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))
(+.f64 (/.f64 (+.f64 eps x) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (+.f64 x x) (+.f64 x x))) (-.f64 eps (+.f64 x x)))
(/.f64 (-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 x x)) (-.f64 (+.f64 eps x) x))
(/.f64 (-.f64 (.f64 (.f64 eps eps) eps) (.f64 #s(literal -8 binary64) (.f64 (.f64 x x) x))) (fma.f64 eps eps (fma.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x) (.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (fma.f64 (.f64 eps eps) eps (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x))) (fma.f64 eps eps (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 eps (+.f64 x x)))))
(/.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (fma.f64 (+.f64 eps x) (+.f64 eps x) (-.f64 (.f64 x x) (*.f64 (+.f64 eps x) x))))
(neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) eps))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(+.f64 (+.f64 x x) eps)
(+.f64 (+.f64 eps x) x)
(+.f64 eps (neg.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 eps (+.f64 x x))
(+.f64 x (+.f64 eps x))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (sin.f64 eps))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps)))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) (.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) eps)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x) eps) #s(literal 1/2 binary64))) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/12 binary64) (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (.f64 eps eps) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/12 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (fma.f64 (*.f64 eps x) #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) x #s(literal -1/6 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) x (.f64 #s(literal 1/24 binary64) eps)) x #s(literal -1/6 binary64)))
#s(approx (* (sin x) eps) (*.f64 eps x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) eps)) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (* (cos x) -1/6) #s(literal -1/6 binary64))
#s(approx (* (cos x) -1/6) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64)))
#s(approx (* (cos x) -1/6) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (* (cos x) -1/6) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4320 binary64) (.f64 x x) #s(literal -1/144 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* (sin x) -1/2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x))
#s(approx (* (sin x) -1/2) (.f64 (fma.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 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/10080 binary64) (.f64 x x) #s(literal -1/240 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x))
#s(approx (sin (+ x eps)) (sin.f64 eps))
#s(approx (sin (+ x eps)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
#s(approx (sin (+ x eps)) (fma.f64 x (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) (sin.f64 eps)))
#s(approx (sin (+ x eps)) (fma.f64 (fma.f64 x (fma.f64 (.f64 (cos.f64 eps) x) #s(literal -1/6 binary64) (.f64 (sin.f64 eps) #s(literal -1/2 binary64))) (cos.f64 eps)) x (sin.f64 eps)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) x)
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (* (* x x) -1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/6) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) x)
#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 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 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 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 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) x) (*.f64 #s(literal -1/6 binary64) x))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (fma.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) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
#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 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (* 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
#s(approx (sin (/ (- (+ eps x) x) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (/ (- (+ eps x) x) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- (+ eps x) x) eps)
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (cos (/ (+ (+ eps x) 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 (/ (+ (+ eps x) 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 (/ (+ (+ eps x) 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 (/ (+ (+ eps x) x) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))
#s(approx (+ (+ eps x) x) eps)
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.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 (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 eps (fma.f64 eps (fma.f64 (.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)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (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))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (cos x) -1/6) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (sin x) -1/2) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x)))
#s(approx (+ x eps) x)
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* x x) -1/6) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (+ (* (* x x) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))
#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) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64))))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/5040 binary64)))
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) (.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 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (+ x eps) x)
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ eps x) x) 2) x)
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (+ eps x) x) (+.f64 x x))
#s(approx (+ (+ eps x) x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) x))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x)))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 eps (neg.f64 x))))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) (neg.f64 (.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) (neg.f64 (.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) x) 1) x) (neg.f64 (.f64 (-.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal -6 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (neg.f64 (.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) x) (neg.f64 (.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (*.f64 (cos.f64 x) eps))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (.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 (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (cos.f64 x))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)))
#s(approx eps eps)
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(approx (sin eps) eps)
#s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (fma.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 (fma.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 (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 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (*.f64 (cos.f64 x) eps))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (* 2 (sin (/ (- (+ eps x) x) 2))) eps)
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/322560 binary64) (.f64 eps eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal -1/24 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin (/ (- (+ eps x) x) 2)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (fma.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 (/ (- (+ eps x) x) 2)) (.f64 (fma.f64 (fma.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 (/ (+ (+ eps x) x) 2)) (cos.f64 x))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (cos (/ (+ (+ eps x) 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 (/ (+ (+ eps x) 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 (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) (sin.f64 x)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps))))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (sin.f64 x)) #s(literal 1/24 binary64)))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal 1/24 binary64))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (.f64 (.f64 eps eps) eps))))) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) (*.f64 eps eps)))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (fma.f64 (/.f64 (sin.f64 x) (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (.f64 (sin.f64 x) #s(literal 1/24 binary64))) eps))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))
#s(approx (+ (+ eps x) x) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/6 binary64))) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/24 binary64))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (.f64 (.f64 (neg.f64 eps) (*.f64 eps eps)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps))) eps))) eps)))))
#s(approx (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 (cos.f64 x) #s(literal 1/6 binary64))) eps))) (*.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6)) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/24 binary64)))))
#s(approx (sin (+ x eps)) (sin.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64))))
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -1 binary64))))

eval64.0ms (0.9%)

Memory: -26.4MiB live, 122.2MiB allocated; 9ms collecting garbage
Compiler: Compiled 6 098 to 2 489 computations (59.2% saved)

prune16.0ms (0.2%)

Memory

-7.9MiB live, 39.6MiB allocated; 1ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	470	11	481
Fresh	3	3	6
Picked	5	0	5
Done	1	0	1
Total	479	14	493

Accuracy

100.0%

Counts

493 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.4%	(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
▶	99.8%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	99.7%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
▶	99.2%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	99.8%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (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))) eps) eps)))
▶	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
▶	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
▶	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))

Compiler

Compiled 636 to 586 computations (7.9% saved)

series20.0ms (0.3%)

Memory

30.1MiB live, 30.1MiB allocated; 0ms collecting garbage

Counts

29 → 122

Calls

Call 1

Inputs
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)
(fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (.f64 eps eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/1920 binary64) (*.f64 eps eps) #s(literal -1/24 binary64))
#s(literal 1/1920 binary64)
(*.f64 eps eps)
eps
#s(literal -1/24 binary64)
#s(literal 1 binary64)
(cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
x
#s(literal 2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
#s(approx (sin eps) eps)
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) 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)
(sin.f64 x)
#s(literal -1/2 binary64)

Outputs
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* 2 (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) 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 (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 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 (* (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 (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (sin 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 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps 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 (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 eps))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ 1 (* -1/24 (pow eps 2))))))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/1920 (pow eps 2)) 1/24))))))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/1920 (* -1/322560 (pow eps 2)))) 1/24))))))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* -1/24 (pow eps 2))))))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/1920 (pow eps 2)) 1/24))))))
#s(approx (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) #s(hole binary64 (+ 1 (* -1/24 (pow eps 2)))))
#s(approx (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/1920 (pow eps 2)) 1/24)))))
#s(approx (+ (* 1/1920 (* eps eps)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* 1/1920 (* eps eps)) -1/24) #s(hole binary64 (- (* 1/1920 (pow eps 2)) 1/24)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (/ (+ (+ eps x) 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 (+ 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 eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) #s(hole binary64 (* 1/1920 (pow eps 5))))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (- 1/1920 (* 1/24 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (- (+ 1/1920 (/ 1 (pow eps 4))) (* 1/24 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) #s(hole binary64 (* 1/1920 (pow eps 4))))
#s(approx (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (- 1/1920 (* 1/24 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (- (+ 1/1920 (/ 1 (pow eps 4))) (* 1/24 (/ 1 (pow eps 2)))))))
#s(approx (+ (* 1/1920 (* eps eps)) -1/24) #s(hole binary64 (* 1/1920 (pow eps 2))))
#s(approx (+ (* 1/1920 (* eps eps)) -1/24) #s(hole binary64 (* (pow eps 2) (- 1/1920 (* 1/24 (/ 1 (pow eps 2)))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (sin eps) #s(hole binary64 (sin 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 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/24 (/ 1 (pow eps 2))) 1/1920)))))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/24 (/ 1 (pow eps 2))) (+ 1/1920 (/ 1 (pow eps 4))))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#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)))))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	-inf	((* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- (+ eps x) x) 2))) (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) (+ (* 1/1920 (* eps eps)) -1/24) 1/1920 (* eps eps) eps -1/24 1 (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) x 2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- (+ eps x) x) 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) -1/2)
4.0ms	eps	@	inf	((* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- (+ eps x) x) 2))) (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) (+ (* 1/1920 (* eps eps)) -1/24) 1/1920 (* eps eps) eps -1/24 1 (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) x 2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- (+ eps x) x) 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) -1/2)
3.0ms	eps	@	0	((* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- (+ eps x) x) 2))) (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) (+ (* 1/1920 (* eps eps)) -1/24) 1/1920 (* eps eps) eps -1/24 1 (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) x 2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- (+ eps x) x) 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) -1/2)
3.0ms	x	@	0	((* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- (+ eps x) x) 2))) (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) (+ (* 1/1920 (* eps eps)) -1/24) 1/1920 (* eps eps) eps -1/24 1 (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) x 2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- (+ eps x) x) 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) -1/2)
3.0ms	x	@	-inf	((* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- (+ eps x) x) 2))) (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) (+ (* 1/1920 (* eps eps)) -1/24) 1/1920 (* eps eps) eps -1/24 1 (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) x 2 (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- (+ eps x) x) 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) -1/2)

rewrite277.0ms (4%)

Memory

-3.6MiB live, 230.6MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	512	2608
0	543	2409
1	2981	2389
0	11193	2265

Stop Event

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

Counts

151 → 306

Calls

Call 1

Inputs
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)
(fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (.f64 eps eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/1920 binary64) (*.f64 eps eps) #s(literal -1/24 binary64))
#s(literal 1/1920 binary64)
(*.f64 eps eps)
eps
#s(literal -1/24 binary64)
#s(literal 1 binary64)
(cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
x
#s(literal 2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
#s(approx (sin eps) eps)
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) 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)
(sin.f64 x)
#s(literal -1/2 binary64)
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* 2 (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) 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 (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (+ eps x) x) #s(hole binary64 eps))
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ eps x) #s(hole binary64 eps))
#s(approx (+ eps x) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 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 (* (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 (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* -1/2 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 1))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* -1/2 (* eps x)))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (sin 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 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ eps x) #s(hole binary64 x))
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps 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 (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 eps))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ 1 (* -1/24 (pow eps 2))))))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/1920 (pow eps 2)) 1/24))))))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/1920 (* -1/322560 (pow eps 2)))) 1/24))))))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* -1/24 (pow eps 2))))))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/1920 (pow eps 2)) 1/24))))))
#s(approx (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) #s(hole binary64 (+ 1 (* -1/24 (pow eps 2)))))
#s(approx (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/1920 (pow eps 2)) 1/24)))))
#s(approx (+ (* 1/1920 (* eps eps)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* 1/1920 (* eps eps)) -1/24) #s(hole binary64 (- (* 1/1920 (pow eps 2)) 1/24)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos x)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))))
#s(approx (cos (/ (+ (+ eps x) 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 (+ 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 eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) #s(hole binary64 (* eps (cos x))))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) #s(hole binary64 (cos x)))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) #s(hole binary64 (* 1/1920 (pow eps 5))))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (- 1/1920 (* 1/24 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (- (+ 1/1920 (/ 1 (pow eps 4))) (* 1/24 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) #s(hole binary64 (* 1/1920 (pow eps 4))))
#s(approx (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (- 1/1920 (* 1/24 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (- (+ 1/1920 (/ 1 (pow eps 4))) (* 1/24 (/ 1 (pow eps 2)))))))
#s(approx (+ (* 1/1920 (* eps eps)) -1/24) #s(hole binary64 (* 1/1920 (pow eps 2))))
#s(approx (+ (* 1/1920 (* eps eps)) -1/24) #s(hole binary64 (* (pow eps 2) (- 1/1920 (* 1/24 (/ 1 (pow eps 2)))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (sin eps) #s(hole binary64 (sin 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 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/24 (/ 1 (pow eps 2))) 1/1920)))))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* 1/24 (/ 1 (pow eps 2))) (+ 1/1920 (/ 1 (pow eps 4))))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#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)))))))

Outputs
(.f64 (cos.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))) #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 eps (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps)) #s(literal 3 binary64))) (fma.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps #s(literal 1 binary64)) (-.f64 (.f64 (.f64 eps (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps)) (.f64 eps (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps))) (.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) eps) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 1 binary64) eps) (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) eps) (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) eps)) (.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) eps)))))
(fma.f64 #s(literal 1 binary64) eps (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) eps))
(fma.f64 eps #s(literal 1 binary64) (.f64 eps (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps)))
(+.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps)))
(+.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) eps))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 1 binary64)))))
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(+.f64 (/.f64 (.f64 (.f64 eps eps) eps) (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 x eps)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 x eps)))))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 (.f64 eps eps) (.f64 x eps)))) (/.f64 (.f64 (.f64 eps eps) eps) (fma.f64 x x (-.f64 (.f64 eps eps) (.f64 x eps)))))
(+.f64 x eps)
(+.f64 eps x)
x
#s(literal 2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
#s(approx (sin eps) eps)
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 (cos.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))) #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (cos.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) 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)
(.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) eps) (.f64 (cos.f64 x) eps) (-.f64 (.f64 (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)) (.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 eps (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 x) eps) (.f64 (cos.f64 x) eps) (-.f64 (.f64 (.f64 eps (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))) (.f64 eps (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))) (.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))))))
(fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 (cos.f64 x) eps (.f64 eps (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(fma.f64 eps (cos.f64 x) (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(fma.f64 eps (cos.f64 x) (.f64 eps (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps))
(+.f64 (.f64 (cos.f64 x) eps) (.f64 eps (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 x) (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (neg.f64 (-.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x))))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x)))))
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x) (cos.f64 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))
(fma.f64 (sin.f64 x) (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (cos.f64 x) (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x))))
(-.f64 (cos.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 x) eps)))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x))))))
(+.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)))
(*.f64 (sin.f64 x) eps)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (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 (- (sin (+ x eps)) (sin x)) (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 (- (sin (+ x eps)) (sin x)) (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 (* 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (cos (/ (+ (+ eps x) 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 (/ (+ (+ eps x) 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 (/ (+ (+ eps x) 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 (/ (+ (+ eps x) x) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))
#s(approx (+ (+ eps x) x) eps)
#s(approx (+ (+ eps x) x) (fma.f64 x #s(literal 2 binary64) eps))
#s(approx (+ eps x) eps)
#s(approx (+ eps x) (+.f64 x eps))
#s(approx x 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 #s(literal 1/24 binary64) (.f64 (.f64 x x) eps) (.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 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.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 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (+ (* (* (sin x) 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 (fma.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 #s(literal 1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (* (sin x) eps) (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/120 binary64) eps)) (.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
#s(approx (/ (+ (+ eps x) x) 2) x)
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (+ (+ eps x) x) (+.f64 x x))
#s(approx (+ (+ eps x) x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) x))
#s(approx (+ eps x) x)
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (- (sin (+ x eps)) (sin x)) (-.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 (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (sin x) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (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 (.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 (- (sin (+ x eps)) (sin x)) (.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 (* 2 (sin (/ (- (+ eps x) x) 2))) eps)
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/322560 binary64) (.f64 eps eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal -1/24 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) eps)
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) (fma.f64 (*.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (+ (* 1/1920 (* eps eps)) -1/24) #s(literal -1/24 binary64))
#s(approx (+ (* 1/1920 (* eps eps)) -1/24) (fma.f64 (*.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx eps eps)
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 x))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (cos (/ (+ (+ eps x) 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 (/ (+ (+ eps x) 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 (+ 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 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 (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps))
#s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (*.f64 (cos.f64 x) eps))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (cos.f64 x))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1/1920 binary64)))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) (.f64 (-.f64 #s(literal 1/1920 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) (.f64 (+.f64 #s(literal 1/1920 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 1/24 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/1920 binary64)))
#s(approx (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 #s(literal 1/1920 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 eps eps)))))
#s(approx (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) (.f64 (+.f64 #s(literal 1/1920 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* 1/1920 (* eps eps)) -1/24) (.f64 (.f64 eps eps) #s(literal 1/1920 binary64)))
#s(approx (+ (* 1/1920 (* eps eps)) -1/24) (.f64 (-.f64 #s(literal 1/1920 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 eps eps))) (*.f64 eps eps)))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))
#s(approx (+ (+ eps x) x) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (sin eps) (sin.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 (- (sin (+ x eps)) (sin x)) (.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 (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/1920 binary64)) (pow.f64 eps #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) (neg.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/1920 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 5 binary64)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) (cos.f64 (*.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64))))
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -1 binary64))))
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (+ (* (* (sin x) eps) -1/2) (cos x)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 1/2 binary64) (sin.f64 x) (neg.f64 (/.f64 (cos.f64 x) eps)))))

eval116.0ms (1.7%)

Memory: -4.3MiB live, 68.6MiB allocated; 36ms collecting garbage
Compiler: Compiled 4 736 to 1 750 computations (63% saved)

prune23.0ms (0.3%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	397	17	414
Fresh	3	6	9
Picked	2	3	5
Done	0	0	0
Total	402	26	428

Accuracy

100.0%

Counts

428 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
	99.9%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (sin.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
▶	99.9%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
	99.7%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) #s(approx (cos (/ (+ (+ eps x) 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))))
	99.7%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	99.2%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
	99.2%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (sin.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	99.2%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
	99.8%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (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))) eps) eps)))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
✓	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
✓	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #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)) eps))
	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
▶	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
▶	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
	97.1%	#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))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
▶	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
✓	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))

Compiler

Compiled 1 107 to 1 035 computations (6.5% saved)

series56.0ms (0.8%)

Memory

-17.5MiB live, 28.9MiB allocated; 3ms collecting garbage

Counts

46 → 244

Calls

Call 1

Inputs
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)
(fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (.f64 eps eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/1920 binary64) (*.f64 eps eps) #s(literal -1/24 binary64))
#s(literal 1/1920 binary64)
(*.f64 eps eps)
eps
#s(literal -1/24 binary64)
#s(literal 1 binary64)
(cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x)))
#s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))
(fma.f64 #s(literal 1/2 binary64) eps x)
#s(literal 1/2 binary64)
x
#s(approx (- (sin (+ x eps)) (sin x)) #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 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
(fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)
(.f64 (.f64 x x) eps)
(*.f64 x x)
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
(.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps)
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))
(fma.f64 #s(literal 1/12 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
#s(literal 1/12 binary64)
(.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)
(fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))
(+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64))
(fma.f64 x #s(literal 2 binary64) eps)
#s(literal 2 binary64)
(PI.f64)

Outputs
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* 2 (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) 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 (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* 1/2 eps)))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx x #s(hole binary64 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 (* (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) -1/2) eps) #s(hole binary64 eps))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (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 (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2)))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) #s(hole binary64 (* 2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) #s(hole binary64 (+ (* 2 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))) (* 2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) #s(hole binary64 (+ (* 2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) #s(hole binary64 (+ (* 2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1/3 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) #s(hole binary64 (sin (* 1/2 (+ eps (PI))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) #s(hole binary64 (+ (sin (* 1/2 (+ eps (PI)))) (* x (cos (* 1/2 (+ eps (PI))))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) #s(hole binary64 (+ (sin (* 1/2 (+ eps (PI)))) (* x (+ (cos (* 1/2 (+ eps (PI)))) (* -1/2 (* x (sin (* 1/2 (+ eps (PI)))))))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) #s(hole binary64 (+ (sin (* 1/2 (+ eps (PI)))) (* x (+ (cos (* 1/2 (+ eps (PI)))) (* x (+ (* -1/2 (sin (* 1/2 (+ eps (PI))))) (* -1/6 (* x (cos (* 1/2 (+ eps (PI)))))))))))))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) #s(hole binary64 (* 1/2 (+ eps (PI)))))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) #s(hole binary64 (+ x (* 1/2 (+ eps (PI))))))
#s(approx (+ (+ (* x 2) eps) (PI)) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ (* x 2) eps) (PI)) #s(hole binary64 (+ eps (+ (PI) (* 2 x)))))
#s(approx (+ (* x 2) eps) #s(hole binary64 eps))
#s(approx (+ (* x 2) eps) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 x))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps 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 (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (* -1/2 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (/ eps (pow x 2))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow x 2) (- (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) 1/2))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow x 2) (- (+ (* -1/6 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (+ (/ 1 (pow x 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)))) 1/2))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow x 2) (- (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) 1/2))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/6 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x))) 1/2))))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* x (- (* 1/12 (pow eps 2)) 1/2))))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* x (- (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) 1/2))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) #s(hole binary64 (* 2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (+ (PI) (* 2 x)))))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) #s(hole binary64 (sin (* 1/2 (+ eps (+ (PI) (* 2 x)))))))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ eps (PI)) x))))))
#s(approx (+ (+ (* x 2) eps) (PI)) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ (* x 2) eps) (PI)) #s(hole binary64 (* x (+ 2 (+ (/ eps x) (/ (PI) x))))))
#s(approx (+ (* x 2) eps) #s(hole binary64 (* 2 x)))
#s(approx (+ (* x 2) eps) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
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#s(approx (+ (* 1/1920 (* eps eps)) -1/24) #s(hole binary64 (* 1/1920 (pow eps 2))))
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#s(approx (+ (+ (* x 2) eps) (PI)) #s(hole binary64 eps))
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#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (* -1 (* eps (- (* 1/2 (pow x 2)) 1)))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x)))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* 1/12 (pow x 2)) 1/6) eps)) (* -1/24 x))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/6) eps)) (* -1/24 x))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (pow x 2))) eps)) (* 1/2 x)) eps)) (* 1/12 (pow x 2))) 1/6) eps)) (* -1/24 x))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* 1/12 (pow x 2)) 1/6) eps)) (* -1/24 x))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/6) eps)) (* -1/24 x))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 x) (* 1/2 (/ (pow x 2) eps))) eps)) (* 1/12 (pow x 2))) 1/6) eps)) (* -1/24 x))))))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1/12 (/ x eps)) 1/24)))))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (- (* 1/12 x) (* 1/2 (/ 1 eps))) eps)) 1/24)))))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (+ 1/2 (* 1/2 (/ x eps))) eps)) (* 1/12 x)) eps)) 1/24)))))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) #s(hole binary64 (* 2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps))))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) #s(hole binary64 (sin (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps))))))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) #s(hole binary64 (* -1 (* eps (- (* -1/2 (/ (+ (PI) (* 2 x)) eps)) 1/2)))))
#s(approx (+ (+ (* x 2) eps) (PI)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (PI) (* 2 x)) eps)) 1)))))
#s(approx (+ (* x 2) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	eps	@	-inf	((* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- (+ eps x) x) 2))) (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) (+ (* 1/1920 (* eps eps)) -1/24) 1/1920 (* eps eps) eps -1/24 1 (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (* 1/2 eps) x) 1/2 x (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (* (* x x) eps) -1/2) eps) (* (* x x) eps) (* x x) -1/2 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) 1/24 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (+ (* 1/12 (* eps eps)) -1/2) 1/12 (* (+ (* (* eps eps) 1/24) -1/2) eps) (+ (* (* eps eps) 1/24) -1/2) (* (* eps eps) -1/6) -1/6 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) (/ (+ (+ (* x 2) eps) (PI)) 2) (+ (+ (* x 2) eps) (PI)) (+ (* x 2) eps) 2 (PI))
9.0ms	x	@	0	((* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- (+ eps x) x) 2))) (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) (+ (* 1/1920 (* eps eps)) -1/24) 1/1920 (* eps eps) eps -1/24 1 (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (* 1/2 eps) x) 1/2 x (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (* (* x x) eps) -1/2) eps) (* (* x x) eps) (* x x) -1/2 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) 1/24 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (+ (* 1/12 (* eps eps)) -1/2) 1/12 (* (+ (* (* eps eps) 1/24) -1/2) eps) (+ (* (* eps eps) 1/24) -1/2) (* (* eps eps) -1/6) -1/6 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) (/ (+ (+ (* x 2) eps) (PI)) 2) (+ (+ (* x 2) eps) (PI)) (+ (* x 2) eps) 2 (PI))
6.0ms	x	@	inf	((* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- (+ eps x) x) 2))) (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) (+ (* 1/1920 (* eps eps)) -1/24) 1/1920 (* eps eps) eps -1/24 1 (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (* 1/2 eps) x) 1/2 x (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (* (* x x) eps) -1/2) eps) (* (* x x) eps) (* x x) -1/2 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) 1/24 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (+ (* 1/12 (* eps eps)) -1/2) 1/12 (* (+ (* (* eps eps) 1/24) -1/2) eps) (+ (* (* eps eps) 1/24) -1/2) (* (* eps eps) -1/6) -1/6 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) (/ (+ (+ (* x 2) eps) (PI)) 2) (+ (+ (* x 2) eps) (PI)) (+ (* x 2) eps) 2 (PI))
6.0ms	eps	@	inf	((* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- (+ eps x) x) 2))) (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) (+ (* 1/1920 (* eps eps)) -1/24) 1/1920 (* eps eps) eps -1/24 1 (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (* 1/2 eps) x) 1/2 x (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (* (* x x) eps) -1/2) eps) (* (* x x) eps) (* x x) -1/2 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) 1/24 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (+ (* 1/12 (* eps eps)) -1/2) 1/12 (* (+ (* (* eps eps) 1/24) -1/2) eps) (+ (* (* eps eps) 1/24) -1/2) (* (* eps eps) -1/6) -1/6 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) (/ (+ (+ (* x 2) eps) (PI)) 2) (+ (+ (* x 2) eps) (PI)) (+ (* x 2) eps) 2 (PI))
6.0ms	x	@	-inf	((* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) (* 2 (sin (/ (- (+ eps x) x) 2))) (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) (+ (* 1/1920 (* eps eps)) -1/24) 1/1920 (* eps eps) eps -1/24 1 (cos (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (* 1/2 eps) x) 1/2 x (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (+ (* (* (* x x) eps) -1/2) eps) (* (* x x) eps) (* x x) -1/2 (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) 1/24 (- (sin (+ x eps)) (sin x)) (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (+ (* 1/12 (* eps eps)) -1/2) 1/12 (* (+ (* (* eps eps) 1/24) -1/2) eps) (+ (* (* eps eps) 1/24) -1/2) (* (* eps eps) -1/6) -1/6 (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) (/ (+ (+ (* x 2) eps) (PI)) 2) (+ (+ (* x 2) eps) (PI)) (+ (* x 2) eps) 2 (PI))

rewrite228.0ms (3.3%)

Memory

39.7MiB live, 227.0MiB allocated; 60ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1014	7716
0	1070	7152
1	6105	7132
0	8470	6758

Stop Event

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

Counts

290 → 461

Calls

Call 1

Inputs
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)
(fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (.f64 eps eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/1920 binary64) (*.f64 eps eps) #s(literal -1/24 binary64))
#s(literal 1/1920 binary64)
(*.f64 eps eps)
eps
#s(literal -1/24 binary64)
#s(literal 1 binary64)
(cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x)))
#s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))
(fma.f64 #s(literal 1/2 binary64) eps x)
#s(literal 1/2 binary64)
x
#s(approx (- (sin (+ x eps)) (sin x)) #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 (.f64 x x) eps) #s(literal -1/2 binary64) eps))
(fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)
(.f64 (.f64 x x) eps)
(*.f64 x x)
#s(literal -1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
(.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps)
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps))
(fma.f64 #s(literal 1/12 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
#s(literal 1/12 binary64)
(.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)
(fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(.f64 (.f64 eps eps) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))
(+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64))
(fma.f64 x #s(literal 2 binary64) eps)
#s(literal 2 binary64)
(PI.f64)
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* 2 (sin (* 1/2 eps)))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 eps))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))))
#s(approx (cos (/ (+ (+ eps x) 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 (/ (+ (+ eps x) x) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* 1/2 eps)))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (+ x (* 1/2 eps))))
#s(approx x #s(hole binary64 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 (* (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) -1/2) eps) #s(hole binary64 eps))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (+ eps (* -1/2 (* eps (pow x 2))))))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (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 (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2))))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2)))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2))))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* -1/6 (pow eps 2))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2)))))))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2)))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) #s(hole binary64 (* 2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) #s(hole binary64 (+ (* 2 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))) (* 2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) #s(hole binary64 (+ (* 2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* -1 (* x (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI))))))) (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) #s(hole binary64 (+ (* 2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* x (+ (* 2 (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (PI)))))) (* -1/3 (* x (* (cos (* 1/2 (+ eps (PI)))) (sin (* 1/2 eps))))))))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) #s(hole binary64 (sin (* 1/2 (+ eps (PI))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) #s(hole binary64 (+ (sin (* 1/2 (+ eps (PI)))) (* x (cos (* 1/2 (+ eps (PI))))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) #s(hole binary64 (+ (sin (* 1/2 (+ eps (PI)))) (* x (+ (cos (* 1/2 (+ eps (PI)))) (* -1/2 (* x (sin (* 1/2 (+ eps (PI)))))))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) #s(hole binary64 (+ (sin (* 1/2 (+ eps (PI)))) (* x (+ (cos (* 1/2 (+ eps (PI)))) (* x (+ (* -1/2 (sin (* 1/2 (+ eps (PI))))) (* -1/6 (* x (cos (* 1/2 (+ eps (PI)))))))))))))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) #s(hole binary64 (* 1/2 (+ eps (PI)))))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) #s(hole binary64 (+ x (* 1/2 (+ eps (PI))))))
#s(approx (+ (+ (* x 2) eps) (PI)) #s(hole binary64 (+ eps (PI))))
#s(approx (+ (+ (* x 2) eps) (PI)) #s(hole binary64 (+ eps (+ (PI) (* 2 x)))))
#s(approx (+ (* x 2) eps) #s(hole binary64 eps))
#s(approx (+ (* x 2) eps) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 x))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps 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 (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (* -1/2 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) #s(hole binary64 (* (pow x 2) (+ (* -1/2 eps) (/ eps (pow x 2))))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* 1/24 (* x x)) -1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow x 2) (- (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) 1/2))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow x 2) (- (+ (* -1/6 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (+ (/ 1 (pow x 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)))) 1/2))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow x 2) (- (* 1/12 (pow eps 2)) 1/2))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow x 2) (- (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) 1/2))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/6 (/ (pow eps 2) (pow x 2))) (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x))) 1/2))))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* x (- (* 1/12 (pow eps 2)) 1/2))))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* x (- (+ (* 1/12 (pow eps 2)) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)) 1/2))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) #s(hole binary64 (* 2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (+ (PI) (* 2 x)))))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) #s(hole binary64 (sin (* 1/2 (+ eps (+ (PI) (* 2 x)))))))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) #s(hole binary64 x))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (+ eps (PI)) x))))))
#s(approx (+ (+ (* x 2) eps) (PI)) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ (* x 2) eps) (PI)) #s(hole binary64 (* x (+ 2 (+ (/ eps x) (/ (PI) x))))))
#s(approx (+ (* x 2) eps) #s(hole binary64 (* 2 x)))
#s(approx (+ (* x 2) eps) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* 2 (* (cos (* 1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))))
#s(approx (cos (/ (+ (+ eps x) x) 2)) #s(hole binary64 (cos (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (+ (* 1/2 eps) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1 (/ (+ 1 (* -1/6 (pow eps 2))) x))) x)) (* 1/12 (pow eps 2))) 1/2))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/6 (/ (pow eps 2) x))) x)) (* 1/12 (pow eps 2))) 1/2))))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* -1 (* x (+ (* -1 (- (* 1/12 (pow eps 2)) 1/2)) (* -1 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) x)))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) #s(hole binary64 (* 2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (+ eps (PI)) (* -2 x))))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) #s(hole binary64 (sin (* 1/2 (- (+ eps (PI)) (* -2 x))))))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (+ eps (PI)) x)) 1)))))
#s(approx (+ (+ (* x 2) eps) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 2)))))
#s(approx (+ (* x 2) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (cos x))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (/ (- (+ eps x) x) 2))) (cos (/ (+ (+ eps x) 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 (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 eps))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ 1 (* -1/24 (pow eps 2))))))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/1920 (pow eps 2)) 1/24))))))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/1920 (* -1/322560 (pow eps 2)))) 1/24))))))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* -1/24 (pow eps 2))))))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/1920 (pow eps 2)) 1/24))))))
#s(approx (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) #s(hole binary64 (+ 1 (* -1/24 (pow eps 2)))))
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#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* 1/12 (pow x 2)) 1/6) eps)) (* -1/24 x))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1/2 (/ x eps)) (* 1/12 (pow x 2))) 1/6) eps)) (* -1/24 x))))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 x) (* 1/2 (/ (pow x 2) eps))) eps)) (* 1/12 (pow x 2))) 1/6) eps)) (* -1/24 x))))))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1/12 (/ x eps)) 1/24)))))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (- (* 1/12 x) (* 1/2 (/ 1 eps))) eps)) 1/24)))))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (+ 1/2 (* 1/2 (/ x eps))) eps)) (* 1/12 x)) eps)) 1/24)))))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 2))) 1/24)))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) #s(hole binary64 (* 2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps))))))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) #s(hole binary64 (sin (* 1/2 (- (+ (PI) (* 2 x)) (* -1 eps))))))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) #s(hole binary64 (* -1 (* eps (- (* -1/2 (/ (+ (PI) (* 2 x)) eps)) 1/2)))))
#s(approx (+ (+ (* x 2) eps) (PI)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ (PI) (* 2 x)) eps)) 1)))))
#s(approx (+ (* x 2) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))

Outputs
(.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))
(.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)
(.f64 eps (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) eps))
(fma.f64 eps #s(literal 1 binary64) (.f64 eps (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps)))
(+.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps)))
(+.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) eps))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps)))))
(fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) (.f64 eps eps) #s(literal 1 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/1920 binary64)) (.f64 (.f64 eps eps) #s(literal 1/1920 binary64))) #s(literal 1/576 binary64)) (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal 1/24 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps eps) #s(literal 1/1920 binary64)) (.f64 (.f64 eps eps) #s(literal 1/1920 binary64))) #s(literal 1/576 binary64)) (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/1920 binary64)) #s(literal -1/24 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal 1/1920 binary64)) #s(literal 3 binary64)) #s(literal 1/13824 binary64)) (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/1920 binary64)) (.f64 (.f64 eps eps) #s(literal 1/1920 binary64)) (+.f64 #s(literal 1/576 binary64) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/1920 binary64)) #s(literal 1/24 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 1/7077888000 binary64) #s(literal -1/13824 binary64)) (fma.f64 (.f64 (.f64 eps eps) #s(literal 1/1920 binary64)) (.f64 (.f64 eps eps) #s(literal 1/1920 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal 1/1920 binary64)) #s(literal -1/24 binary64)))))
(neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) #s(literal 1/1920 binary64))))
(fma.f64 (*.f64 #s(literal 1/1920 binary64) eps) eps #s(literal -1/24 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64))
(fma.f64 #s(literal 1/1920 binary64) (*.f64 eps eps) #s(literal -1/24 binary64))
(-.f64 (.f64 (.f64 eps eps) #s(literal 1/1920 binary64)) #s(literal 1/24 binary64))
(+.f64 (.f64 (.f64 eps eps) #s(literal 1/1920 binary64)) #s(literal -1/24 binary64))
(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 eps eps) #s(literal 1/1920 binary64)))
#s(literal 1/1920 binary64)
(*.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))
eps
#s(literal -1/24 binary64)
#s(literal 1 binary64)
(sin.f64 (+.f64 (neg.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x)))))
(cos.f64 (neg.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
(cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x)))
(+.f64 (.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps))) (-.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 eps eps) eps) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps) (-.f64 (.f64 x x) (.f64 (*.f64 #s(literal 1/2 binary64) eps) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 eps eps) eps))) (fma.f64 x x (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) eps) (.f64 #s(literal 1/2 binary64) eps)) (.f64 x (.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(-.f64 x (*.f64 #s(literal -1/2 binary64) eps))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
#s(literal 1/2 binary64)
x
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) #s(approx (* (cos x) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x x) eps)))
#s(approx (* (cos x) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x x) eps))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)))) (-.f64 eps (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64))) (.f64 eps eps)) (-.f64 (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) eps))
(/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (pow.f64 (.f64 (.f64 x x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 eps eps (-.f64 (.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64))) (.f64 eps (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 x x) eps) #s(literal 3 binary64)) #s(literal -1/8 binary64) (.f64 (.f64 eps eps) eps)) (fma.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64)) (-.f64 (.f64 eps eps) (.f64 (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) eps))))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x x) eps)
(fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)
(fma.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) eps) eps)
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) eps) eps)
(-.f64 eps (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) eps)))
(+.f64 (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)) eps)
(+.f64 eps (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))
(.f64 (.f64 x x) eps)
(.f64 x (.f64 x eps))
(.f64 eps (.f64 x x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal -1/2 binary64)
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
(.f64 #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)
(.f64 eps #s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x)))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 (.f64 x x) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
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#s(approx x x)
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#s(approx (* (cos x) eps) eps)
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#s(approx (cos x) #s(literal 1 binary64))
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#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) (.f64 (fma.f64 #s(literal 1/24 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64)) eps)) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) (.f64 (fma.f64 (/.f64 x (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/24 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64)) eps))) (.f64 (*.f64 eps eps) eps)))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) (.f64 (-.f64 (fma.f64 (/.f64 x (.f64 eps eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 eps eps) eps)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 1/12 binary64) (.f64 #s(literal 1/24 binary64) x)))) (/.f64 #s(literal 1/6 binary64) eps)) (.f64 (*.f64 eps eps) eps)))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (*.f64 eps eps) eps) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (fma.f64 (/.f64 x eps) #s(literal 1/12 binary64) #s(literal 1/24 binary64)) (.f64 (*.f64 eps eps) eps)))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/12 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (fma.f64 (/.f64 x (.f64 (.f64 eps eps) eps)) #s(literal -1/2 binary64) (.f64 (/.f64 x eps) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)))) (.f64 (*.f64 eps eps) eps)))
#s(approx (+ (* 1/12 (* eps eps)) -1/2) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))
#s(approx (+ (* 1/12 (* eps eps)) -1/2) (.f64 (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (*.f64 eps eps)))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) eps) (.f64 (.f64 (*.f64 eps eps) eps) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) eps) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* (* eps eps) 1/24) -1/2) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))
#s(approx (+ (* (* eps eps) 1/24) -1/2) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (*.f64 eps eps)))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) (*.f64 (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))
#s(approx (+ (+ (* x 2) eps) (PI)) eps)
#s(approx (+ (+ (* x 2) eps) (PI)) (*.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps) #s(literal 1 binary64)) eps))
#s(approx (+ (* x 2) eps) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 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 (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/1920 binary64)) (pow.f64 eps #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) (neg.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/1920 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 5 binary64)))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) (cos.f64 (*.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ eps x) x) 2) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64))))
#s(approx (+ (* 1/2 eps) x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) (-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x)))
#s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (neg.f64 eps) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (cos.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps))) eps))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64) (.f64 (sin.f64 x) #s(literal -1/24 binary64))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal -1/24 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (neg.f64 (.f64 (fma.f64 (sin.f64 x) #s(literal -1/24 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (cos.f64 x) eps))) eps))) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64)) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x (neg.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal -1/2 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))) eps))) #s(literal 1/6 binary64)) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64)) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x (neg.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal -1/2 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1/6 binary64))) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) (neg.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) x (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (.f64 x x) eps))) eps))) #s(literal 1/6 binary64)) eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (/.f64 x eps) #s(literal -1/24 binary64)) (.f64 (*.f64 eps eps) eps))))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/12 binary64) x) (/.f64 #s(literal 1/2 binary64) eps)) eps)) #s(literal 1/24 binary64)) (.f64 (.f64 eps eps) eps))))
#s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) x (neg.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) eps))) eps)) #s(literal 1/24 binary64)) (.f64 (*.f64 eps eps) eps))))
#s(approx (* (+ (* (* eps eps) 1/24) -1/2) eps) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps eps)) #s(literal 1/24 binary64)) (.f64 (.f64 eps eps) eps))))
#s(approx (* (* 2 (sin (/ (- (+ eps x) x) 2))) (sin (/ (+ (+ (* x 2) eps) (PI)) 2))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (.f64 (-.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64)))))
#s(approx (sin (/ (+ (+ (* x 2) eps) (PI)) 2)) (sin.f64 (*.f64 (-.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) (neg.f64 eps)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (* x 2) eps) (PI)) 2) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
#s(approx (+ (+ (* x 2) eps) (PI)) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (PI.f64)) eps)) #s(literal 1 binary64))))
#s(approx (+ (* x 2) eps) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -1 binary64))))

eval70.0ms (1%)

Memory: -7.5MiB live, 91.9MiB allocated; 12ms collecting garbage
Compiler: Compiled 8 013 to 2 935 computations (63.4% saved)

prune39.0ms (0.6%)

Memory

6.1MiB live, 53.4MiB allocated; 2ms collecting garbage

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	537	16	553
Fresh	8	10	18
Picked	2	3	5
Done	0	3	3
Total	547	32	579

Accuracy

100.0%

Counts

579 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (fma.f64 eps #s(literal 1 binary64) (.f64 eps (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps)))) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
	99.9%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (sin.f64 (+.f64 (neg.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	99.8%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (sin.f64 #s(approx (/ (+ (+ ( x 2) eps) (PI)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x))))
✓	99.9%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
	99.7%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) #s(approx (sin (/ (+ (+ ( x 2) eps) (PI)) 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))))
	99.7%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
	99.7%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
	99.2%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) #s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) eps)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
	99.2%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) #s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) eps)) (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
	99.2%	(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (sin.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
	99.8%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (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))) eps) eps)))
	99.3%	#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
✓	99.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps))
	99.5%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
✓	98.4%	#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) x #s(literal 1 binary64))) eps))
	99.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #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)) eps))
	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 #s(approx (+ (* (* eps eps) 1/24) -1/2) #s(literal -1/2 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 #s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/24 binary64))) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 #s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 #s(literal -1/2 binary64) (+.f64 x eps))) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 #s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) (.f64 (-.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps) x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64))) eps))
	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) (fma.f64 #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 x x)) #s(literal 1 binary64)))) eps))
✓	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
	97.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 x eps) (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
✓	97.1%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)))
	5.2%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
✓	97.0%	#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))

Compiler

Compiled 1 561 to 1 147 computations (26.5% saved)

regimes47.0ms (0.7%)

Memory

-43.1MiB live, 54.9MiB allocated; 6ms collecting garbage

Counts

56 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #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 (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (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 (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) (fma.f64 #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 x x)) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 #s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 #s(literal -1/2 binary64) (+.f64 x eps))) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 #s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/24 binary64))) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 #s(approx (+ (* (* eps eps) 1/24) -1/2) #s(literal -1/2 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 #s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) (.f64 (-.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps) x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64))) eps))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) #s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) eps)) (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 x eps) (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) #s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) eps)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (sin.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (sin.f64 #s(approx (/ (+ (+ ( x 2) eps) (PI)) 2) (fma.f64 (+.f64 (PI.f64) eps) #s(literal 1/2 binary64) x))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (sin.f64 (+.f64 (neg.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (fma.f64 eps #s(literal 1 binary64) (.f64 eps (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/1920 binary64) #s(literal -1/24 binary64)) eps) eps)))) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (sin.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))) (/.f64 (PI.f64) #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)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #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)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps #s(approx (+ ( (* (sin x) eps) 1/24) (* (cos x) -1/6)) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
(.f64 (.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 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 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) #s(approx (cos (/ (+ (+ eps x) 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))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (.f64 eps eps) #s(literal -1/24 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) #s(approx (sin (/ (+ (+ ( x 2) eps) (PI)) 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 (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (.f64 (cos.f64 x) #s(literal -1/6 binary64))) (.f64 (sin.f64 x) #s(literal -1/2 binary64))) (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (.f64 (.f64 (fma.f64 eps (fma.f64 (.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))) eps) eps)))
(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)))

Outputs

(*.f64 #s(approx (* 2 (sin (/ (- (+ eps x) x) 2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1920 binary64) (*.f64 eps eps) #s(literal -1/24 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))

Calls

3 calls:

15.0ms	eps
13.0ms	x
13.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes27.0ms (0.4%)

Memory

36.0MiB live, 36.0MiB allocated; 0ms collecting garbage

Counts

35 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #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 (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (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 (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) (fma.f64 #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 x x)) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 #s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 #s(literal -1/2 binary64) (+.f64 x eps))) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 #s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/24 binary64))) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 #s(approx (+ (* (* eps eps) 1/24) -1/2) #s(literal -1/2 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 #s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) (.f64 (-.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps) x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64))) eps))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) #s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) eps)) (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 x eps) (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) #s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) eps)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (sin.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)) (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/24 binary64) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes25.0ms (0.4%)

Memory

-15.5MiB live, 31.8MiB allocated; 1ms collecting garbage

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #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 (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (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 (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) (fma.f64 #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 x x)) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 #s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 #s(literal -1/2 binary64) (+.f64 x eps))) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 #s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/24 binary64))) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 #s(approx (+ (* (* eps eps) 1/24) -1/2) #s(literal -1/2 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 #s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) (.f64 (-.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps) x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64))) eps))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) #s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) eps)) (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 x eps) (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) #s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) eps)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (sin.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes24.0ms (0.3%)

Memory

-14.8MiB live, 32.4MiB allocated; 1ms collecting garbage

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin eps) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) #s(approx (+ (* (* (* x x) eps) -1/2) eps) (.f64 (.f64 (*.f64 x x) eps) #s(literal -1/2 binary64)))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #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 (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (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 (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) #s(approx (+ (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) 1) (fma.f64 #s(literal -1/2 binary64) (fma.f64 x eps (*.f64 x x)) #s(literal 1 binary64)))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 #s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 #s(literal -1/2 binary64) (+.f64 x eps))) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( (* (sin x) eps) -1/2) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 x eps) #s(literal -1/2 binary64)) x (.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 #s(approx (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) (.f64 (.f64 (.f64 eps eps) eps) #s(literal 1/24 binary64))) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) eps) -1/2) (cos x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 eps eps) x) (.f64 #s(literal -1/2 binary64) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))) x eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 #s(approx (+ (* (* eps eps) 1/24) -1/2) #s(literal -1/2 binary64)) eps)) x (.f64 (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 #s(approx (+ (* (+ (* (+ (* 1/12 (* eps eps)) -1/2) x) (* (+ (* (* eps eps) 1/24) -1/2) eps)) x) (* (* eps eps) -1/6)) (.f64 (-.f64 (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) (/.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps) x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64))) eps))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) #s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) eps)) (cos.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 #s(approx (+ ( eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) x (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (.f64 (fma.f64 eps #s(approx (+ ( eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2)) (*.f64 #s(literal -1/6 binary64) eps)) (cos.f64 x)) eps))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 eps x) (fma.f64 #s(literal 1/12 binary64) (.f64 eps eps) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* eps (+ (* eps (+ (* (* (sin x) eps) 1/24) (* (cos x) -1/6))) (* (sin x) -1/2))) (cos x)) eps) (fma.f64 (fma.f64 (.f64 x eps) (fma.f64 (.f64 eps eps) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 eps eps))) x (.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) eps) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(.f64 #s(approx ( 2 (sin (/ (- (+ eps x) x) 2))) #s(approx (* (+ (* (+ (* 1/1920 (* eps eps)) -1/24) (* eps eps)) 1) eps) eps)) (sin.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) eps) (PI.f64)) #s(literal 2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes16.0ms (0.2%)

Memory

21.0MiB live, 21.0MiB allocated; 0ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes14.0ms (0.2%)

Memory

21.1MiB live, 21.1MiB allocated; 0ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.2%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.2%	1	`x`
97.2%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes10.0ms (0.1%)

Memory

-32.7MiB live, 14.6MiB allocated; 2ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.2%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.2%	1	`eps`
97.2%	1	`x`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes7.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.1%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.1%	1	`x`
97.1%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Accuracy

Total -58.8b remaining (-3086.5%)

Threshold costs -58.8b (-3086.5%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (sin 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
97.0%	1	`(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))`
97.0%	1	`x`
97.0%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations402.0ms (5.8%)

Memory

-41.8MiB live, 223.0MiB allocated; 93ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 104 to 72 computations (30.8% saved)

preprocess79.0ms (1.1%)

Memory: -3.1MiB live, 138.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 147 to 111 computations (24.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze35.0ms (0.5%)

sample4.9s (70.2%)

preprocess49.0ms (0.7%)

series5.0ms (0.1%)

rewrite176.0ms (2.5%)

eval11.0ms (0.2%)

prune9.0ms (0.1%)

series38.0ms (0.6%)

rewrite173.0ms (2.5%)

eval64.0ms (0.9%)

prune16.0ms (0.2%)

series20.0ms (0.3%)

rewrite277.0ms (4%)

eval116.0ms (1.7%)

prune23.0ms (0.3%)

series56.0ms (0.8%)

rewrite228.0ms (3.3%)

eval70.0ms (1%)

prune39.0ms (0.6%)

regimes47.0ms (0.7%)

regimes27.0ms (0.4%)

regimes25.0ms (0.4%)

regimes24.0ms (0.3%)

regimes16.0ms (0.2%)

regimes14.0ms (0.2%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

derivations402.0ms (5.8%)

preprocess79.0ms (1.1%)

end0.0ms (0%)

Profiling