Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

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

analyze38.0ms (0.5%)

Memory

-4.1MiB live, 39.4MiB allocated; 11ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample5.5s (69.4%)

Memory

213.8MiB live, 4 594.9MiB allocated; 863ms collecting garbage

Samples

2.2s	5 795×	2	valid
1.8s	26 439×	0	invalid
381.0ms	2 393×	1	valid
26.0ms	68×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.3s

ival-cos: 2.0s (60.1% of total)

adjust: 492.0ms (14.9% of total)

ival-fabs: 243.0ms (7.4% of total)

ival-add!: 145.0ms (4.4% of total)

ival-<: 128.0ms (3.9% of total)

ival-sub!: 115.0ms (3.5% of total)

ival-mult!: 115.0ms (3.5% of total)

ival-and: 66.0ms (2% of total)

ival-assert: 14.0ms (0.4% of total)

Bogosity

preprocess41.0ms (0.5%)

Memory

-34.0MiB live, 11.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	48
1	106	48
2	654	44
3	3748	44

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.3%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series4.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Counts

6 → 33

Calls

Call 1

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

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

rewrite914.0ms (11.6%)

Memory

-73.0MiB live, 158.3MiB allocated; 1.2s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	529
0	150	513
1	880	510
0	8200	489

Stop Event

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

Counts

39 → 110

Calls

Call 1

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

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

eval10.0ms (0.1%)

Memory: 13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 126 to 429 computations (61.9% saved)

prune7.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	92	10	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	92	11	103

Accuracy

99.7%

Counts

103 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.4%	(-.f64 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	53.4%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
	53.4%	(-.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 x))
▶	53.3%	(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
✓	53.3%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	52.3%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	52.2%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
▶	80.6%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
▶	52.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
▶	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
	80.3%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Compiler

Compiled 254 to 228 computations (10.2% saved)

series31.0ms (0.4%)

Memory

-17.7MiB live, 26.9MiB allocated; 7ms collecting garbage

Counts

35 → 133

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (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 (cos (+ x eps)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos eps) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (* -1/2 (cos eps)) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* -1/6 (sin eps))))) (* -1/2 (cos eps))) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* -2 (sin (* 1/2 eps)))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- x (- x eps)) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- x eps) #s(hole binary64 (* -1 eps)))
#s(approx (- x eps) #s(hole binary64 (- x eps)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 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 (* 2 x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (+ eps x)) (sin (+ x (* 1/2 (PI)))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))))
#s(approx (- x eps) #s(hole binary64 (* x (+ 1 (* -1 (/ eps x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 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 (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (- eps (* -1 x))) (sin (- (* 1/2 (PI)) (* -1 x))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 x)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))))
#s(approx (- x eps) #s(hole binary64 (* -1 (* x (- (/ eps x) 1)))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 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 (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos x) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* -1 (* eps (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2)))) 1))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))) 1))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (- x eps) #s(hole binary64 (+ x (* -1 eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* 1/2 (* eps (cos x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- x eps) #s(hole binary64 (* eps (- (/ x eps) 1))))
#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 (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (- x (* -1 eps))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (- x eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ x eps)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 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
10.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) -1/2 (cos x) x eps (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2) (PI) 2 (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) -2 (sin (/ (- x (- x eps)) 2)) (/ (- x (- x eps)) 2) (- x (- x eps)) (- x eps) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x))
5.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) -1/2 (cos x) x eps (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2) (PI) 2 (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) -2 (sin (/ (- x (- x eps)) 2)) (/ (- x (- x eps)) 2) (- x (- x eps)) (- x eps) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x))
4.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) -1/2 (cos x) x eps (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2) (PI) 2 (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) -2 (sin (/ (- x (- x eps)) 2)) (/ (- x (- x eps)) 2) (- x (- x eps)) (- x eps) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x))
4.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) -1/2 (cos x) x eps (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2) (PI) 2 (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) -2 (sin (/ (- x (- x eps)) 2)) (/ (- x (- x eps)) 2) (- x (- x eps)) (- x eps) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x))
3.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) -1/2 (cos x) x eps (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (sin (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2) (PI) 2 (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) -2 (sin (/ (- x (- x eps)) 2)) (/ (- x (- x eps)) 2) (- x (- x eps)) (- x eps) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x))

rewrite173.0ms (2.2%)

Memory

23.9MiB live, 121.0MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	612	2946
0	654	2807
1	3641	2807
0	8463	2662

Stop Event

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

Counts

168 → 289

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps)
(-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
eps
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
#s(literal 1 binary64)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64))))
#s(literal -2 binary64)
(sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))
(/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64))
(-.f64 x (-.f64 x eps))
(-.f64 x eps)
(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)
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (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 (cos (+ x eps)) #s(hole binary64 (cos eps)))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos eps) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (* -1/2 (cos eps)) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (cos (* 1/2 (PI)))) (* -1/6 (sin eps))))) (* -1/2 (cos eps))) (* -1/2 (sin (* 1/2 (PI)))))) (+ (cos (* 1/2 (PI))) (sin eps))))) (sin (* 1/2 (PI))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (cos (* 1/2 (PI)))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* -1/2 (* x (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (cos (* 1/2 (PI))) (* x (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* x (cos (* 1/2 (PI))))))))))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* -2 (sin (* 1/2 eps)))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (sin (* 1/2 eps))))
#s(approx (/ (- x (- x eps)) 2) #s(hole binary64 (* 1/2 eps)))
#s(approx (- x eps) #s(hole binary64 (* -1 eps)))
#s(approx (- x eps) #s(hole binary64 (- x eps)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 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 (* 2 x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (+ eps x))))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (+ eps x)) (sin (+ x (* 1/2 (PI)))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))))
#s(approx (- x eps) #s(hole binary64 (* x (+ 1 (* -1 (/ eps x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 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 (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- eps (* -1 x)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (- eps (* -1 x))) (sin (- (* 1/2 (PI)) (* -1 x))))))
#s(approx (sin (+ (/ (PI) 2) x)) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 x)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))))
#s(approx (- x eps) #s(hole binary64 (* -1 (* x (- (/ eps x) 1)))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 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 (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos x) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* -1 (* eps (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2)))) 1))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))) 1))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2))))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))))
#s(approx (sin (/ (- x (- x eps)) 2)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))))
#s(approx (- x eps) #s(hole binary64 (+ x (* -1 eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* 1/2 (* eps (cos x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (- x eps) #s(hole binary64 (* eps (- (/ x eps) 1))))
#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 (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (cos (+ x eps)) #s(hole binary64 (cos (- x (* -1 eps)))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) #s(hole binary64 (- (cos (- x (* -1 eps))) (sin (+ x (* 1/2 (PI)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (- x eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ x eps)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 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 (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (neg.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) 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 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) 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 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))))
(-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x))
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 x) eps))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
x
eps
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))))) (neg.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 eps) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (log.f64 (cos.f64 eps)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 eps) #s(literal 1 binary64)))))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(sin.f64 (+.f64 (neg.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 eps) #s(literal 0 binary64) (*.f64 (cos.f64 eps) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 eps)))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
(+.f64 (.f64 (sin.f64 eps) #s(literal 0 binary64)) (.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (*.f64 #s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64)) #s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64))))) (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) #s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (.f64 (.f64 #s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64)) #s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64))) #s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64))))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (fma.f64 #s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64)) #s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) #s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 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(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64)) #s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64)))) (+.f64 (cos.f64 (+.f64 eps x)) #s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (.f64 (.f64 #s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64)) #s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64))) #s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (fma.f64 #s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64)) #s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) #s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64))))))
(-.f64 (cos.f64 (+.f64 eps x)) #s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 eps x))))
(cos.f64 (neg.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(+.f64 (.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 eps eps) (.f64 x x))) (neg.f64 (-.f64 eps x)))
(/.f64 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps))) (neg.f64 (fma.f64 x x (-.f64 (.f64 eps eps) (*.f64 eps x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 eps eps))) (neg.f64 (-.f64 x eps)))
(/.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)
#s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) x) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.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 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.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 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (cos.f64 (+.f64 eps x)) (cos.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 x x))))) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (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 #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 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (.f64 (sin.f64 x) #s(literal 0 binary64)) (.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 x x))) (neg.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 x x)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) (.f64 (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64))) #s(literal -2 binary64)))
(.f64 (.f64 (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64))) #s(literal -2 binary64)) (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64))) (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))))
(*.f64 (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64))))
#s(literal -2 binary64)
(sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))
(-.f64 (.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 x eps) #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 x eps) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x (-.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 x (-.f64 x eps))) #s(literal -2 binary64))
(/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64))
(-.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x eps) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (-.f64 x eps) (-.f64 x eps)))) (neg.f64 (+.f64 x (-.f64 x eps))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (-.f64 x eps) (-.f64 x eps)) (-.f64 x eps)))) (neg.f64 (fma.f64 x x (fma.f64 (-.f64 x eps) (-.f64 x eps) (*.f64 x (-.f64 x eps))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 x eps) (-.f64 x eps))) (+.f64 x (-.f64 x eps)))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (-.f64 x eps) (-.f64 x eps)) (-.f64 x eps))) (fma.f64 x x (fma.f64 (-.f64 x eps) (-.f64 x eps) (*.f64 x (-.f64 x eps)))))
(-.f64 x (-.f64 x eps))
(+.f64 (-.f64 x x) eps)
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 eps eps))) (neg.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 eps eps) eps))) (neg.f64 (fma.f64 x x (fma.f64 eps eps (*.f64 eps x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 eps eps)) (+.f64 eps x))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 eps eps) eps)) (fma.f64 x x (fma.f64 eps eps (*.f64 eps x))))
(-.f64 x eps)
(sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(fma.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 (.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 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps))) #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 (neg.f64 (-.f64 (.f64 eps eps) (.f64 (+.f64 x x) (+.f64 x x)))) (neg.f64 (-.f64 eps (+.f64 x x))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 x x))) (neg.f64 (-.f64 (+.f64 eps x) x)))
(/.f64 (neg.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x)))) (neg.f64 (+.f64 eps (*.f64 #s(literal -2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 eps eps (-.f64 (.f64 (+.f64 x x) (+.f64 x x)) (.f64 eps (+.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (-.f64 (.f64 x x) (*.f64 (+.f64 eps x) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 eps eps) eps) (.f64 #s(literal -8 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (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 (-.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 eps eps) (.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))))
(/.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)))))
(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 (+.f64 x x))
(+.f64 x (+.f64 eps x))
(/.f64 (neg.f64 (-.f64 (.f64 eps eps) (.f64 x x))) (neg.f64 (-.f64 eps x)))
(/.f64 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 eps eps) eps))) (neg.f64 (fma.f64 x x (-.f64 (.f64 eps eps) (*.f64 eps x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 eps eps))) (neg.f64 (-.f64 x eps)))
(/.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)
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (fma.f64 x (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (fma.f64 x (-.f64 (.f64 (+.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps x)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/4 binary64) eps)) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* (* -1/2 (cos x)) eps) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/1440 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/48 binary64) eps)) (.f64 #s(literal 1/4 binary64) eps)) (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64))
#s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos x)) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
#s(approx (sin (+ (/ (PI) 2) x)) #s(literal 1 binary64))
#s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (cos (+ x eps)) (cos.f64 eps))
#s(approx (cos (+ x eps)) (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)))
#s(approx (cos (+ x eps)) (fma.f64 x (-.f64 (.f64 (.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (cos (+ x eps)) (fma.f64 x (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/2 binary64))) x) (sin.f64 eps)) (cos.f64 eps)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (cos.f64 eps) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (fma.f64 (neg.f64 x) (+.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (fma.f64 (-.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 eps)) x (cos.f64 eps)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (fma.f64 (-.f64 (-.f64 (.f64 (fma.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) (+.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 eps))) (.f64 #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))) x) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 eps)) x (cos.f64 eps)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (/ (PI) 2) x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 x (fma.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (+ (/ (PI) 2) x)) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -1/6 binary64) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (+ (/ (PI) 2) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (.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)))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 #s(literal -2 binary64) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) x) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) (.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)) 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))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) eps)))))) x (.f64 (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.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))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)))
#s(approx (sin (/ (- x (- x eps)) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(approx (/ (- x (- x eps)) 2) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (- x eps) (neg.f64 eps))
#s(approx (- x eps) (-.f64 x eps))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) x (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 x (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) x) #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 x (fma.f64 x (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) eps)) x) #s(literal -1/6 binary64) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (.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) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))
#s(approx (* (* -1/2 (cos x)) eps) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (sin (+ (/ (PI) 2) x)) (cos.f64 x))
#s(approx (sin x) (sin.f64 x))
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x)))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (sin (+ (/ (PI) 2) x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
#s(approx (+ (/ (PI) 2) x) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
#s(approx (- x eps) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)) x))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))
#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 (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (cos (+ x eps)) (cos.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 (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 x)))))
#s(approx (sin (+ (/ (PI) 2) x)) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 x))))
#s(approx (+ (/ (PI) 2) x) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
#s(approx (- x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 eps x) #s(literal 1 binary64))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.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) (-.f64 (.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 (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos (+ x eps)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x)))
#s(approx (cos (+ x eps)) (fma.f64 eps (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) (cos.f64 x)))
#s(approx (cos (+ x eps)) (fma.f64 eps (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) (cos.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (cos.f64 x) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (fma.f64 eps (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) (cos.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (fma.f64 eps (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) (cos.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/12 binary64)) eps) #s(literal -2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal -1/12 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) eps))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.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 (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.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 (/ (- x (- x eps)) 2)) (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- x (- x eps)) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/3840 binary64) (.f64 eps eps)) #s(literal 1/48 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (/ (- x (- x eps)) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/645120 binary64) (.f64 eps eps) #s(literal 1/3840 binary64)) (.f64 eps eps)) #s(literal 1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (- x eps) (+.f64 (neg.f64 eps) x))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (sin.f64 x)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/48 binary64))) eps)) (sin.f64 x)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (.f64 eps eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) 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 (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))
#s(approx (cos (+ x eps)) (cos.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 (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64)))))
#s(approx (- x eps) (*.f64 (neg.f64 eps) (+.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.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) (-.f64 (.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 1 binary64))))

eval32.0ms (0.4%)

Memory: -7.9MiB live, 37.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 3 303 to 1 358 computations (58.9% saved)

prune16.0ms (0.2%)

Memory

21.4MiB live, 21.4MiB allocated; 0ms collecting garbage

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	260	19	279
Fresh	5	0	5
Picked	3	2	5
Done	0	1	1
Total	268	22	290

Accuracy

100.0%

Counts

290 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.3%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	52.2%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	80.2%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 x eps) (-.f64 x eps))) (+.f64 x (-.f64 x eps))) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	27.1%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.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))))) #s(literal 2 binary64))))
▶	99.4%	(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.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)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	99.3%	(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.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 (+.f64 eps x) x) #s(literal 2 binary64))))
▶	99.2%	(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	80.3%	#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
	52.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64)))
	52.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
	98.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
▶	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
	98.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))) eps))
▶	53.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
▶	53.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	98.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (.f64 eps eps))))
	53.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64))))

Compiler

Compiled 802 to 766 computations (4.5% saved)

series25.0ms (0.3%)

Memory

-21.4MiB live, 24.5MiB allocated; 6ms collecting garbage

Counts

41 → 122

Calls

Call 1

Inputs
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.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)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.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))
(.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.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)
(-.f64 (.f64 (fma.f64 (-.f64 (.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))
(.f64 (fma.f64 (-.f64 (.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))
(fma.f64 (-.f64 (.f64 #s(literal 1/322560 binary64) (.f64 eps eps)) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64))
(-.f64 (.f64 #s(literal 1/322560 binary64) (.f64 eps eps)) #s(literal 1/1920 binary64))
(.f64 #s(literal 1/322560 binary64) (.f64 eps eps))
#s(literal 1/322560 binary64)
(*.f64 eps eps)
eps
#s(literal 1/1920 binary64)
#s(literal 1/24 binary64)
#s(literal 1 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)
x
#s(literal 2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
(.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps)
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps)))
(.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 eps eps))
#s(literal 1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps)
(-.f64 (.f64 #s(approx ( -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x))
(.f64 #s(approx ( -1/2 (cos x)) #s(literal -1/2 binary64)) eps)
#s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64))
(sin.f64 x)
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) eps))
(.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) eps)
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1 binary64))

Outputs
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 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 (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 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 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 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 (+ 1 (/ eps x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 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 (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* -1 eps)))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2)))) 1))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))) 1))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 -1))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1)))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (- (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2)))) 1)))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))) 1)))
#s(approx (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2))))))
#s(approx (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920))))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 (+ 1/24 (* -1/1920 (pow eps 2)))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))))
#s(approx (- (* 1/322560 (* eps eps)) 1/1920) #s(hole binary64 -1/1920))
#s(approx (- (* 1/322560 (* eps eps)) 1/1920) #s(hole binary64 (- (* 1/322560 (pow eps 2)) 1/1920)))
#s(approx (* 1/322560 (* eps eps)) #s(hole binary64 (* 1/322560 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* 1/2 (* eps (cos x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (- (* 1/24 (* eps eps)) 1/2) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* 1/322560 (pow eps 7))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (- 1/322560 (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (- (+ 1/322560 (/ 1/24 (pow eps 4))) (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (- (+ 1/322560 (/ 1/24 (pow eps 4))) (+ (* 1/1920 (/ 1 (pow eps 2))) (/ 1 (pow eps 6)))))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (* 1/322560 (pow eps 6))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- 1/322560 (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- (+ 1/322560 (/ 1/24 (pow eps 4))) (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- (+ 1/322560 (/ 1/24 (pow eps 4))) (+ (* 1/1920 (/ 1 (pow eps 2))) (/ 1 (pow eps 6)))))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 (* 1/322560 (pow eps 4))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 (* (pow eps 4) (- 1/322560 (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 (* (pow eps 4) (- (+ 1/322560 (/ 1/24 (pow eps 4))) (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (- (* 1/322560 (* eps eps)) 1/1920) #s(hole binary64 (* (pow eps 2) (- 1/322560 (* 1/1920 (/ 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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) #s(hole binary64 (* 1/24 (pow eps 4))))
#s(approx (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (- (* 1/24 (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) #s(hole binary64 (* 1/24 (pow eps 3))))
#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 3) (- 1/24 (/ 1 (pow eps 2))))))
#s(approx (- (* 1/24 (* eps eps)) 1) #s(hole binary64 (* (pow eps 2) (- 1/24 (/ 1 (pow eps 2))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (* 1/1920 (/ 1 (pow eps 2))) 1/322560)))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (* 1/1920 (/ 1 (pow eps 2))) (+ 1/322560 (/ 1/24 (pow eps 4))))))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ (* 1/1920 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/322560 (/ 1/24 (pow eps 4))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 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 (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/24)))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	eps	@	0	((* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (- (* 1/322560 (* eps eps)) 1/1920) (* 1/322560 (* eps eps)) 1/322560 (* eps eps) eps 1/1920 1/24 1 (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) x 2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* -1/2 eps) -1/2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) (- (* 1/24 (* eps eps)) 1/2) (* 1/24 (* eps eps)) 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (sin x) (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) (* (- (* 1/24 (* eps eps)) 1) eps) (- (* 1/24 (* eps eps)) 1))
4.0ms	eps	@	inf	((* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (- (* 1/322560 (* eps eps)) 1/1920) (* 1/322560 (* eps eps)) 1/322560 (* eps eps) eps 1/1920 1/24 1 (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) x 2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* -1/2 eps) -1/2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) (- (* 1/24 (* eps eps)) 1/2) (* 1/24 (* eps eps)) 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (sin x) (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) (* (- (* 1/24 (* eps eps)) 1) eps) (- (* 1/24 (* eps eps)) 1))
4.0ms	eps	@	-inf	((* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (- (* 1/322560 (* eps eps)) 1/1920) (* 1/322560 (* eps eps)) 1/322560 (* eps eps) eps 1/1920 1/24 1 (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) x 2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* -1/2 eps) -1/2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) (- (* 1/24 (* eps eps)) 1/2) (* 1/24 (* eps eps)) 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (sin x) (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) (* (- (* 1/24 (* eps eps)) 1) eps) (- (* 1/24 (* eps eps)) 1))
2.0ms	x	@	-inf	((* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (- (* 1/322560 (* eps eps)) 1/1920) (* 1/322560 (* eps eps)) 1/322560 (* eps eps) eps 1/1920 1/24 1 (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) x 2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* -1/2 eps) -1/2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) (- (* 1/24 (* eps eps)) 1/2) (* 1/24 (* eps eps)) 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (sin x) (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) (* (- (* 1/24 (* eps eps)) 1) eps) (- (* 1/24 (* eps eps)) 1))
2.0ms	x	@	inf	((* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (- (* 1/322560 (* eps eps)) 1/1920) (* 1/322560 (* eps eps)) 1/322560 (* eps eps) eps 1/1920 1/24 1 (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) x 2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* -1/2 eps) -1/2 (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) (- (* 1/24 (* eps eps)) 1/2) (* 1/24 (* eps eps)) 1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (sin x) (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) (* (- (* 1/24 (* eps eps)) 1) eps) (- (* 1/24 (* eps eps)) 1))

rewrite152.0ms (1.9%)

Memory

6.9MiB live, 109.7MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	547	3247
0	590	3159
1	2982	3159
0	8161	3046

Stop Event

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

Counts

163 → 296

Calls

Call 1

Inputs
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.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)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.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))
(.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.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)
(-.f64 (.f64 (fma.f64 (-.f64 (.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))
(.f64 (fma.f64 (-.f64 (.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))
(fma.f64 (-.f64 (.f64 #s(literal 1/322560 binary64) (.f64 eps eps)) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64))
(-.f64 (.f64 #s(literal 1/322560 binary64) (.f64 eps eps)) #s(literal 1/1920 binary64))
(.f64 #s(literal 1/322560 binary64) (.f64 eps eps))
#s(literal 1/322560 binary64)
(*.f64 eps eps)
eps
#s(literal 1/1920 binary64)
#s(literal 1/24 binary64)
#s(literal 1 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)
x
#s(literal 2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
(.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps)
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps)))
(.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 eps eps))
#s(literal 1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps)
(-.f64 (.f64 #s(approx ( -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x))
(.f64 #s(approx ( -1/2 (cos x)) #s(literal -1/2 binary64)) eps)
#s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64))
(sin.f64 x)
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) eps))
(.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) eps)
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1 binary64))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 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 (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 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 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 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 (+ 1 (/ eps x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 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 (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* -1 eps)))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2)))) 1))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))) 1))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 -1))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1)))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (- (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2)))) 1)))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))) 1)))
#s(approx (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2))))))
#s(approx (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920))))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 (+ 1/24 (* -1/1920 (pow eps 2)))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))))
#s(approx (- (* 1/322560 (* eps eps)) 1/1920) #s(hole binary64 -1/1920))
#s(approx (- (* 1/322560 (* eps eps)) 1/1920) #s(hole binary64 (- (* 1/322560 (pow eps 2)) 1/1920)))
#s(approx (* 1/322560 (* eps eps)) #s(hole binary64 (* 1/322560 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* 1/2 (* eps (cos x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
#s(approx (- (cos eps) 1) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))))
#s(approx (- (* 1/24 (* eps eps)) 1/2) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1/2)))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* 1/322560 (pow eps 7))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (- 1/322560 (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (- (+ 1/322560 (/ 1/24 (pow eps 4))) (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (- (+ 1/322560 (/ 1/24 (pow eps 4))) (+ (* 1/1920 (/ 1 (pow eps 2))) (/ 1 (pow eps 6)))))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (* 1/322560 (pow eps 6))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- 1/322560 (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- (+ 1/322560 (/ 1/24 (pow eps 4))) (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- (+ 1/322560 (/ 1/24 (pow eps 4))) (+ (* 1/1920 (/ 1 (pow eps 2))) (/ 1 (pow eps 6)))))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 (* 1/322560 (pow eps 4))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 (* (pow eps 4) (- 1/322560 (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 (* (pow eps 4) (- (+ 1/322560 (/ 1/24 (pow eps 4))) (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (- (* 1/322560 (* eps eps)) 1/1920) #s(hole binary64 (* (pow eps 2) (- 1/322560 (* 1/1920 (/ 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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) #s(hole binary64 (* 1/24 (pow eps 4))))
#s(approx (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (- (* 1/24 (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 2) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) #s(hole binary64 (* 1/24 (pow eps 3))))
#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 3) (- 1/24 (/ 1 (pow eps 2))))))
#s(approx (- (* 1/24 (* eps eps)) 1) #s(hole binary64 (* (pow eps 2) (- 1/24 (/ 1 (pow eps 2))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (* 1/1920 (/ 1 (pow eps 2))) 1/322560)))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (* 1/1920 (/ 1 (pow eps 2))) (+ 1/322560 (/ 1/24 (pow eps 4))))))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ (* 1/1920 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/322560 (/ 1/24 (pow eps 4))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 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 (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/24)))))

Outputs
(.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))) #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64)) eps))
(.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64)) eps)
(.f64 eps (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) eps) eps #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) eps) eps #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (log.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 2 binary64)) (fma.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) eps) eps #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64))))))
(-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) eps) eps)
(.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)))
(fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps (.f64 (.f64 eps eps) (.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (*.f64 eps eps))))
(fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps)) (*.f64 eps eps)))
(fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (*.f64 eps eps))))
(fma.f64 (.f64 eps eps) #s(literal 1/24 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps)) (*.f64 eps eps)))
(fma.f64 #s(literal 1/24 binary64) (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (*.f64 eps eps))))
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(.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1 binary64)) eps)
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#s(approx (+ eps x) (+.f64 eps x))
#s(approx x x)
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#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)))
#s(approx (* (* -1/2 (cos x)) eps) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.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) (-.f64 (.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 (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) eps))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/12 binary64)) eps) #s(literal -2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 (sin.f64 x) #s(literal -1/12 binary64)) #s(literal -2 binary64) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (neg.f64 eps))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1 binary64)) eps))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.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 (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64)) eps))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(literal -1 binary64))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1 binary64)))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) (-.f64 (.f64 (fma.f64 #s(literal -1/1920 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64)))
#s(approx (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) (.f64 (.f64 eps eps) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) (.f64 (fma.f64 #s(literal -1/1920 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps)))
#s(approx (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) eps) eps))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (fma.f64 #s(literal -1/1920 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)))
#s(approx (- (* 1/322560 (* eps eps)) 1/1920) #s(literal -1/1920 binary64))
#s(approx (- (* 1/322560 (* eps eps)) 1/1920) (-.f64 (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps) #s(literal 1/1920 binary64)))
#s(approx (* 1/322560 (* eps eps)) (.f64 (.f64 #s(literal 1/322560 binary64) eps) eps))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (sin.f64 x)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/48 binary64))) eps)) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (cos eps) 1) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps) eps))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps)))
#s(approx (- (* 1/24 (* eps eps)) 1/2) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal 1/322560 binary64)))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (.f64 (-.f64 #s(literal 1/322560 binary64) (/.f64 #s(literal 1/1920 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (.f64 (+.f64 #s(literal 1/322560 binary64) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 1/1920 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (.f64 (-.f64 (+.f64 #s(literal 1/322560 binary64) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 1/1920 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal -6 binary64))) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) #s(literal 1/322560 binary64)))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (-.f64 #s(literal 1/322560 binary64) (/.f64 #s(literal 1/1920 binary64) (*.f64 eps eps)))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (+.f64 #s(literal 1/322560 binary64) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 1/1920 binary64) (.f64 eps eps))))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (-.f64 (+.f64 #s(literal 1/322560 binary64) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 1/1920 binary64) (.f64 eps eps)))) (pow.f64 eps #s(literal -6 binary64)))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/322560 binary64)))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 #s(literal 1/322560 binary64) (/.f64 #s(literal 1/1920 binary64) (*.f64 eps eps)))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (.f64 (+.f64 #s(literal 1/322560 binary64) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 1/1920 binary64) (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (* 1/322560 (* eps eps)) 1/1920) (.f64 (-.f64 #s(literal 1/322560 binary64) (/.f64 #s(literal 1/1920 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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (.f64 eps eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))
#s(approx (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/24 binary64)))
#s(approx (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (*.f64 eps eps))))
#s(approx (- (* 1/24 (* eps eps)) 1/2) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (*.f64 eps eps)))
#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (.f64 (*.f64 eps eps) eps) #s(literal 1/24 binary64)))
#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps)))
#s(approx (- (* 1/24 (* eps eps)) 1) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (*.f64 eps eps)))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64)))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/1920 binary64) (.f64 eps eps)) #s(literal 1/322560 binary64)) (pow.f64 eps #s(literal 7 binary64)))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (neg.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/1920 binary64) (.f64 eps eps)) #s(literal 1/322560 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 7 binary64)))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (neg.f64 (.f64 (-.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -6 binary64)) (/.f64 #s(literal 1/1920 binary64) (.f64 eps eps))) #s(literal 1/322560 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 7 binary64)))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.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) (-.f64 (.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 (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))
#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (.f64 (neg.f64 eps) (.f64 eps eps)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/24 binary64))))

eval40.0ms (0.5%)

Memory: 3.3MiB live, 48.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 5 188 to 1 818 computations (65% saved)

prune25.0ms (0.3%)

Memory

-20.7MiB live, 25.5MiB allocated; 6ms collecting garbage

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	358	11	369
Fresh	6	8	14
Picked	3	2	5
Done	0	3	3
Total	367	24	391

Accuracy

100.0%

Counts

391 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.3%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	52.2%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	80.2%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 x eps) (-.f64 x eps))) (+.f64 x (-.f64 x eps))) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
▶	99.5%	(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.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)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
	99.3%	(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (- (* 1/322560 (* eps eps)) 1/1920) #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 (+.f64 eps x) x) #s(literal 2 binary64))))
	80.2%	(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (-.f64 (/.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (-.f64 (+.f64 eps x) x)) (/.f64 (*.f64 x x) (-.f64 (+.f64 eps x) x))) #s(literal 2 binary64))))
	99.2%	(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 #s(approx (+ eps x) (.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps)) x) #s(literal 2 binary64))))
	99.3%	(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) eps)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
	99.0%	(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (neg.f64 eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
▶	33.0%	(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) #s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	80.3%	#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
	52.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
✓	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
▶	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
▶	98.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
	98.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
▶	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))) eps))
✓	53.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
	52.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) #s(approx (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/24 binary64)))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	53.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64))))

Compiler

Compiled 951 to 903 computations (5% saved)

series26.0ms (0.3%)

Memory

32.4MiB live, 32.4MiB allocated; 0ms collecting garbage

Counts

59 → 158

Calls

Call 1

Inputs
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.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)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.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))
(.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.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)
(-.f64 (.f64 (fma.f64 (-.f64 (.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))
(.f64 (fma.f64 (-.f64 (.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))
(fma.f64 (-.f64 (.f64 #s(literal 1/322560 binary64) (.f64 eps eps)) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64))
(-.f64 (.f64 #s(literal 1/322560 binary64) (.f64 eps eps)) #s(literal 1/1920 binary64))
(.f64 #s(literal 1/322560 binary64) (.f64 eps eps))
#s(literal 1/322560 binary64)
(*.f64 eps eps)
eps
#s(literal 1/1920 binary64)
#s(literal 1/24 binary64)
#s(literal 1 binary64)
(sin.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 (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
(.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps)
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))
#s(literal -1/2 binary64)
(neg.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
(.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps)
(-.f64 (.f64 #s(approx ( -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
(.f64 #s(approx ( -1/2 (cos x)) #s(literal -1/2 binary64)) eps)
#s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64))
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/6 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
(.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps)
(-.f64 (.f64 #s(approx ( -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))
(.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) #s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps)))
(.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps))
(-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(/.f64 #s(literal 1 binary64) (*.f64 eps eps))
(.f64 (.f64 eps eps) eps)
(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)
#s(literal 2 binary64)

Outputs
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 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 (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 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 x #s(hole binary64 x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (* (* 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) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow x 2)))))
#s(approx (+ (+ 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 x)))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* x (- (* -1/2 (/ eps x)) 1))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (sin x) #s(hole binary64 (sin 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) #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 (+ (+ 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 (+ 1 (/ eps x)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ eps x)))))))
#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 (+ (+ 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 (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* -1 eps)))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2)))) 1))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))) 1))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 -1))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1)))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (- (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2)))) 1)))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))) 1)))
#s(approx (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2))))))
#s(approx (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920))))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 (+ 1/24 (* -1/1920 (pow eps 2)))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))))
#s(approx (- (* 1/322560 (* eps eps)) 1/1920) #s(hole binary64 -1/1920))
#s(approx (- (* 1/322560 (* eps eps)) 1/1920) #s(hole binary64 (- (* 1/322560 (pow eps 2)) 1/1920)))
#s(approx (* 1/322560 (* eps eps)) #s(hole binary64 (* 1/322560 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* 1/2 (* eps (cos x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (- (* -1/2 eps) x)))
#s(approx (- 1/24 (/ 1 (* eps eps))) #s(hole binary64 (/ -1 (pow eps 2))))
#s(approx (- 1/24 (/ 1 (* eps eps))) #s(hole binary64 (/ (- (* 1/24 (pow eps 2)) 1) (pow eps 2))))
#s(approx (/ 1 (* eps eps)) #s(hole binary64 (/ 1 (pow eps 2))))
#s(approx (* (* eps eps) eps) #s(hole binary64 (pow eps 3)))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* 1/322560 (pow eps 7))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (- 1/322560 (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (- (+ 1/322560 (/ 1/24 (pow eps 4))) (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (- (+ 1/322560 (/ 1/24 (pow eps 4))) (+ (* 1/1920 (/ 1 (pow eps 2))) (/ 1 (pow eps 6)))))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (* 1/322560 (pow eps 6))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- 1/322560 (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- (+ 1/322560 (/ 1/24 (pow eps 4))) (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- (+ 1/322560 (/ 1/24 (pow eps 4))) (+ (* 1/1920 (/ 1 (pow eps 2))) (/ 1 (pow eps 6)))))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 (* 1/322560 (pow eps 4))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 (* (pow eps 4) (- 1/322560 (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 (* (pow eps 4) (- (+ 1/322560 (/ 1/24 (pow eps 4))) (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (- (* 1/322560 (* eps eps)) 1/1920) #s(hole binary64 (* (pow eps 2) (- 1/322560 (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) 1/2))))
#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) #s(hole binary64 (* 1/24 (pow eps 3))))
#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 3) (- 1/24 (/ 1 (pow eps 2))))))
#s(approx (- 1/24 (/ 1 (* eps eps))) #s(hole binary64 (- 1/24 (/ 1 (pow eps 2)))))
#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 (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (* 1/1920 (/ 1 (pow eps 2))) 1/322560)))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (* 1/1920 (/ 1 (pow eps 2))) (+ 1/322560 (/ 1/24 (pow eps 4))))))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ (* 1/1920 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/322560 (/ 1/24 (pow eps 4))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* -1 (* eps (+ 1/2 (/ x eps))))))
#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/24)))))
#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)))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (- (* 1/322560 (* eps eps)) 1/1920) (* 1/322560 (* eps eps)) 1/322560 (* eps eps) eps 1/1920 1/24 1 (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (* 1/2 eps) x) 1/2 x (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* -1/2 eps) (neg x)) -1/2 (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos 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) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6 (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) (* (- (* 1/24 (* eps eps)) 1) eps) (* (- 1/24 (/ 1 (* eps eps))) (* (* eps eps) eps)) (- 1/24 (/ 1 (* eps eps))) (/ 1 (* eps eps)) (* (* eps eps) eps) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) 2)
4.0ms	eps	@	-inf	((* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (- (* 1/322560 (* eps eps)) 1/1920) (* 1/322560 (* eps eps)) 1/322560 (* eps eps) eps 1/1920 1/24 1 (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (* 1/2 eps) x) 1/2 x (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* -1/2 eps) (neg x)) -1/2 (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos 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) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6 (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) (* (- (* 1/24 (* eps eps)) 1) eps) (* (- 1/24 (/ 1 (* eps eps))) (* (* eps eps) eps)) (- 1/24 (/ 1 (* eps eps))) (/ 1 (* eps eps)) (* (* eps eps) eps) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) 2)
4.0ms	x	@	-inf	((* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (- (* 1/322560 (* eps eps)) 1/1920) (* 1/322560 (* eps eps)) 1/322560 (* eps eps) eps 1/1920 1/24 1 (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (* 1/2 eps) x) 1/2 x (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* -1/2 eps) (neg x)) -1/2 (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos 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) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6 (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) (* (- (* 1/24 (* eps eps)) 1) eps) (* (- 1/24 (/ 1 (* eps eps))) (* (* eps eps) eps)) (- 1/24 (/ 1 (* eps eps))) (/ 1 (* eps eps)) (* (* eps eps) eps) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) 2)
4.0ms	eps	@	inf	((* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (- (* 1/322560 (* eps eps)) 1/1920) (* 1/322560 (* eps eps)) 1/322560 (* eps eps) eps 1/1920 1/24 1 (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (* 1/2 eps) x) 1/2 x (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* -1/2 eps) (neg x)) -1/2 (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos 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) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6 (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) (* (- (* 1/24 (* eps eps)) 1) eps) (* (- 1/24 (/ 1 (* eps eps))) (* (* eps eps) eps)) (- 1/24 (/ 1 (* eps eps))) (/ 1 (* eps eps)) (* (* eps eps) eps) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) 2)
3.0ms	eps	@	0	((* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (- (* 1/322560 (* eps eps)) 1/1920) (* 1/322560 (* eps eps)) 1/322560 (* eps eps) eps 1/1920 1/24 1 (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (* 1/2 eps) x) 1/2 x (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (+ (* -1/2 eps) (neg x)) -1/2 (neg x) (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos x)) eps) (sin x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 (- (cos (+ x eps)) (cos x)) (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (- (* (* -1/2 (cos 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) (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) (+ (* -1/5040 (* x x)) 1/120) -1/5040 1/120 1/6 (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (* -2 (sin (/ (- x (- x eps)) 2))) (* (- (* 1/24 (* eps eps)) 1) eps) (* (- 1/24 (/ 1 (* eps eps))) (* (* eps eps) eps)) (- 1/24 (/ 1 (* eps eps))) (/ 1 (* eps eps)) (* (* eps eps) eps) (sin (/ (+ (+ eps x) x) 2)) (/ (+ (+ eps x) x) 2) (+ (+ eps x) x) (+ eps x) 2)

rewrite179.0ms (2.3%)

Memory

-43.1MiB live, 107.2MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	635	4334
0	698	4161
1	3315	4161
0	8165	4048

Stop Event

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

Counts

217 → 447

Calls

Call 1

Inputs
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.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)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.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))
(.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.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)
(-.f64 (.f64 (fma.f64 (-.f64 (.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))
(.f64 (fma.f64 (-.f64 (.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))
(fma.f64 (-.f64 (.f64 #s(literal 1/322560 binary64) (.f64 eps eps)) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64))
(-.f64 (.f64 #s(literal 1/322560 binary64) (.f64 eps eps)) #s(literal 1/1920 binary64))
(.f64 #s(literal 1/322560 binary64) (.f64 eps eps))
#s(literal 1/322560 binary64)
(*.f64 eps eps)
eps
#s(literal 1/1920 binary64)
#s(literal 1/24 binary64)
#s(literal 1 binary64)
(sin.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 (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
(.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps)
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)))
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))
#s(literal -1/2 binary64)
(neg.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
(.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps)
(-.f64 (.f64 #s(approx ( -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
(.f64 #s(approx ( -1/2 (cos x)) #s(literal -1/2 binary64)) eps)
#s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64))
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/6 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
(.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps)
(-.f64 (.f64 #s(approx ( -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))
(.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) #s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps))))
#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps)))
(.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps))
(-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(/.f64 #s(literal 1 binary64) (*.f64 eps eps))
(.f64 (.f64 eps eps) eps)
(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)
#s(literal 2 binary64)
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2))))))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 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 (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps)))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 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 x #s(hole binary64 x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos eps) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* x (+ (* 1/6 x) (* 1/4 eps))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 -1/2))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (* (* 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) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (- (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* -1/5040 (* x x)) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow x 2)))))
#s(approx (+ (+ 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 x)))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* -1/2 (* eps (cos x))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* x (- (* -1/2 (/ eps x)) 1))))
#s(approx (* (* -1/2 (cos x)) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (sin x) #s(hole binary64 (sin 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) #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 (+ (+ 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 (+ 1 (/ eps x)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- eps (* -2 x))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ eps x)))))))
#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 (+ (+ 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 (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x))))))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x)))))))))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* -1 eps)))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2)))) 1))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))) 1))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 -1))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (- (* 1/24 (pow eps 2)) 1)))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (- (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2)))) 1)))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))) 1)))
#s(approx (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) #s(hole binary64 (* 1/24 (pow eps 2))))
#s(approx (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2))))))
#s(approx (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920))))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 (+ 1/24 (* -1/1920 (pow eps 2)))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))))
#s(approx (- (* 1/322560 (* eps eps)) 1/1920) #s(hole binary64 -1/1920))
#s(approx (- (* 1/322560 (* eps eps)) 1/1920) #s(hole binary64 (- (* 1/322560 (pow eps 2)) 1/1920)))
#s(approx (* 1/322560 (* eps eps)) #s(hole binary64 (* 1/322560 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* 1/2 (* eps (cos x))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x)))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x))))))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (- (* -1/2 eps) x)))
#s(approx (- 1/24 (/ 1 (* eps eps))) #s(hole binary64 (/ -1 (pow eps 2))))
#s(approx (- 1/24 (/ 1 (* eps eps))) #s(hole binary64 (/ (- (* 1/24 (pow eps 2)) 1) (pow eps 2))))
#s(approx (/ 1 (* eps eps)) #s(hole binary64 (/ 1 (pow eps 2))))
#s(approx (* (* eps eps) eps) #s(hole binary64 (pow eps 3)))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* 1/322560 (pow eps 7))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (- 1/322560 (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (- (+ 1/322560 (/ 1/24 (pow eps 4))) (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 7) (- (+ 1/322560 (/ 1/24 (pow eps 4))) (+ (* 1/1920 (/ 1 (pow eps 2))) (/ 1 (pow eps 6)))))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (* 1/322560 (pow eps 6))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- 1/322560 (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- (+ 1/322560 (/ 1/24 (pow eps 4))) (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(hole binary64 (* (pow eps 6) (- (+ 1/322560 (/ 1/24 (pow eps 4))) (+ (* 1/1920 (/ 1 (pow eps 2))) (/ 1 (pow eps 6)))))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 (* 1/322560 (pow eps 4))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 (* (pow eps 4) (- 1/322560 (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(hole binary64 (* (pow eps 4) (- (+ 1/322560 (/ 1/24 (pow eps 4))) (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (- (* 1/322560 (* eps eps)) 1/1920) #s(hole binary64 (* (pow eps 2) (- 1/322560 (* 1/1920 (/ 1 (pow eps 2)))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* eps (+ 1/2 (/ x eps)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (cos x)))))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) 1/2))))
#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) #s(hole binary64 (* 1/24 (pow eps 3))))
#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 3) (- 1/24 (/ 1 (pow eps 2))))))
#s(approx (- 1/24 (/ 1 (* eps eps))) #s(hole binary64 (- 1/24 (/ 1 (pow eps 2)))))
#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 (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (* 1/1920 (/ 1 (pow eps 2))) 1/322560)))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (* 1/1920 (/ 1 (pow eps 2))) (+ 1/322560 (/ 1/24 (pow eps 4))))))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 7) (- (+ (* 1/1920 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/322560 (/ 1/24 (pow eps 4))))))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) #s(hole binary64 (sin (* 1/2 (- (* 2 x) (* -1 eps))))))
#s(approx (/ (+ (+ eps x) x) 2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) #s(hole binary64 (* -1 (* eps (+ (* 1/2 (cos x)) (/ (sin x) eps))))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* -1 (* eps (+ 1/2 (/ x eps))))))
#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/24)))))
#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)))))

Outputs
(.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64)) eps)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64)) eps))
(.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64)) eps)
(.f64 eps (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) eps) eps #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (log.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) eps) eps #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 (log.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64)))))
(-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) eps) eps)
(.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)))
(fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps (.f64 (.f64 eps eps) (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) eps) eps)))
(fma.f64 (.f64 #s(literal 1/24 binary64) eps) eps (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) eps) eps) (*.f64 eps eps)))
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(+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64)))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
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#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (.f64 (.f64 eps eps) eps) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))))
(.f64 (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 eps eps)) eps)
(.f64 (.f64 (.f64 eps eps) eps) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))))
(.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps))
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(.f64 (.f64 eps eps) eps)
(.f64 eps (.f64 eps eps))
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 3 binary64))
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(pow.f64 eps #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64)))
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(sin.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
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(+.f64 eps x)
(+.f64 x eps)
#s(literal 2 binary64)
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#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 x x)
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#s(approx (neg x) (neg.f64 x))
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#s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64))
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#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
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#s(approx (+ eps x) (+.f64 eps x))
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#s(approx (sin x) (sin.f64 x))
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#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x))
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#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
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#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (neg.f64 (sin.f64 x))) eps))
#s(approx (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (sin.f64 x) #s(literal -1/12 binary64)) eps) #s(literal -2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps))
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#s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (neg.f64 eps))
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#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) #s(literal -1 binary64))
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#s(approx (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) (.f64 #s(literal 1/24 binary64) (.f64 eps eps)))
#s(approx (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) (.f64 (fma.f64 #s(literal -1/1920 binary64) (.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps)))
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#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (fma.f64 #s(literal -1/1920 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)))
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#s(approx (- (* 1/322560 (* eps eps)) 1/1920) #s(literal -1/1920 binary64))
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#s(approx (* 1/322560 (* eps eps)) (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal -1/8 binary64) (.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)))
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#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (+ (* -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
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#s(approx (/ 1 (* eps eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))
#s(approx (* (* eps eps) eps) (.f64 (.f64 eps eps) eps))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (*.f64 (pow.f64 eps #s(literal 7 binary64)) #s(literal 1/322560 binary64)))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (.f64 (-.f64 #s(literal 1/322560 binary64) (/.f64 #s(literal 1/1920 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 7 binary64))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (.f64 (+.f64 #s(literal 1/322560 binary64) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 1/1920 binary64) (*.f64 eps eps)))) (pow.f64 eps #s(literal 7 binary64))))
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#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (-.f64 #s(literal 1/322560 binary64) (/.f64 #s(literal 1/1920 binary64) (*.f64 eps eps)))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (+.f64 #s(literal 1/322560 binary64) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 1/1920 binary64) (.f64 eps eps))))))
#s(approx (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (-.f64 (+.f64 #s(literal 1/322560 binary64) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 1/1920 binary64) (.f64 eps eps)))) (pow.f64 eps #s(literal -6 binary64)))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/322560 binary64)))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 #s(literal 1/322560 binary64) (/.f64 #s(literal 1/1920 binary64) (*.f64 eps eps)))))
#s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (.f64 (+.f64 #s(literal 1/322560 binary64) (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal 1/1920 binary64) (.f64 eps eps)))) (.f64 (.f64 eps eps) (.f64 eps eps))))
#s(approx (- (* 1/322560 (* eps eps)) 1/1920) (.f64 (-.f64 #s(literal 1/322560 binary64) (/.f64 #s(literal 1/1920 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 (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 (cos.f64 x) (*.f64 eps eps)) #s(literal -1/2 binary64)))
#s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (.f64 eps eps)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))
#s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) eps))
#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (.f64 (*.f64 eps eps) eps) #s(literal 1/24 binary64)))
#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (.f64 (.f64 eps eps) eps) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps)))))
#s(approx (- 1/24 (/ 1 (* eps eps))) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps 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 (* (* -2 (sin (/ (- x (- x eps)) 2))) (sin (/ (+ (+ eps x) x) 2))) (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64)))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/1920 binary64) (.f64 eps eps)) #s(literal 1/322560 binary64)) (pow.f64 eps #s(literal 7 binary64)))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (neg.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/1920 binary64) (.f64 eps eps)) #s(literal 1/322560 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 7 binary64)))))
#s(approx (* (- (* (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) (* eps eps)) 1) eps) (neg.f64 (.f64 (-.f64 (-.f64 (+.f64 (pow.f64 eps #s(literal -6 binary64)) (/.f64 #s(literal 1/1920 binary64) (.f64 eps eps))) #s(literal 1/322560 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 7 binary64)))))
#s(approx (sin (/ (+ (+ eps x) x) 2)) (sin.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 (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (- (* (* -1/2 (cos x)) eps) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps))))
#s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (neg.f64 eps) (+.f64 (/.f64 x eps) #s(literal 1/2 binary64))))
#s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (.f64 (neg.f64 eps) (.f64 eps eps)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal 1/24 binary64))))
#s(approx (+ (+ eps x) x) (.f64 (neg.f64 eps) (-.f64 (.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))))

eval53.0ms (0.7%)

Memory: 17.7MiB live, 62.0MiB allocated; 9ms collecting garbage
Compiler: Compiled 6 667 to 2 943 computations (55.9% saved)

prune35.0ms (0.4%)

Memory

-21.6MiB live, 38.7MiB allocated; 7ms collecting garbage

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	426	14	440
Fresh	6	8	14
Picked	3	2	5
Done	0	5	5
Total	435	29	464

Accuracy

100.0%

Counts

464 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.3%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	52.2%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	80.2%	(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 x eps) (-.f64 x eps))) (+.f64 x (-.f64 x eps))) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	99.5%	(.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64)) eps)))
	99.4%	(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (- (* 1/322560 (* eps eps)) 1/1920) #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 (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
	99.3%	(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(literal 1/24 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) eps)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
	99.1%	(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (neg.f64 eps)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
	32.9%	(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) #s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (.f64 (*.f64 eps eps) eps)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	30.7%	(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) #s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (-.f64 #s(literal 1/24 binary64) (exp.f64 (.f64 (log.f64 eps) #s(literal -2 binary64)))) (.f64 (.f64 eps eps) eps)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	32.8%	(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) #s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 #s(approx (- 1/24 (/ 1 ( eps eps))) (/.f64 #s(literal -1 binary64) (.f64 eps eps))) (.f64 (*.f64 eps eps) eps)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
	80.3%	#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
	52.1%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
✓	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
✓	98.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
	98.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
✓	98.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
	50.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
	53.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 #s(approx (+ ( (* x x) -1/6) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x))) eps))
	98.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	38.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (/.f64 (fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/8 binary64) (.f64 (.f64 x x) (neg.f64 x))) (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) (neg.f64 x)))))) eps))
	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))) eps))
✓	53.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))) eps))
	97.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) eps))) eps))
	97.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) eps))
	52.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) #s(approx (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/24 binary64)))))
	97.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	53.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64))))

Compiler

Compiled 1 272 to 1 020 computations (19.8% saved)

regimes37.0ms (0.5%)

Memory

38.7MiB live, 38.7MiB allocated; 0ms collecting garbage

Counts

55 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) #s(approx (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/24 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 #s(approx (+ ( (* x x) -1/6) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (neg.f64 eps)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (neg.f64 eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (/.f64 (fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/8 binary64) (.f64 (.f64 x x) (neg.f64 x))) (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) (neg.f64 x)))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) eps)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(literal 1/24 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) eps)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) #s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 #s(approx (- 1/24 (/ 1 ( eps eps))) (/.f64 #s(literal -1 binary64) (.f64 eps eps))) (.f64 (*.f64 eps eps) eps)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (- (* 1/322560 (* eps eps)) 1/1920) #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 (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) #s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 #s(approx (+ eps x) (.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps)) x) #s(literal 2 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) #s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (.f64 (*.f64 eps eps) eps)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.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 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (- (* 1/322560 (* eps eps)) 1/1920) #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 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64)) eps)))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.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)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.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)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) #s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (-.f64 #s(literal 1/24 binary64) (exp.f64 (.f64 (log.f64 eps) #s(literal -2 binary64)))) (.f64 (.f64 eps eps) eps)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
(-.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 eps x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) (.f64 eps eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 (neg.f64 eps) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))) eps))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (-.f64 (/.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (-.f64 (+.f64 eps x) x)) (/.f64 (*.f64 x x) (-.f64 (+.f64 eps x) x))) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 x eps) (-.f64 x eps))) (+.f64 x (-.f64 x eps))) #s(literal 2 binary64)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -2 binary64) (sin.f64 (/.f64 (-.f64 x (-.f64 x eps)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.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))))) #s(literal 2 binary64))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (/.f64 (-.f64 (.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (cos.f64 eps) (cos.f64 x))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))

Outputs

(*.f64 (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))) #s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/322560 binary64)) #s(literal 1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) eps) eps) #s(literal 1 binary64)) eps)))

Calls

3 calls:

13.0ms	x
12.0ms	eps
9.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes33.0ms (0.4%)

Memory

-15.7MiB live, 29.1MiB allocated; 7ms collecting garbage

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) #s(approx (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/24 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 #s(approx (+ ( (* x x) -1/6) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (neg.f64 eps)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (neg.f64 eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (/.f64 (fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/8 binary64) (.f64 (.f64 x x) (neg.f64 x))) (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) (neg.f64 x)))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) eps)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(literal 1/24 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) eps)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) #s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 #s(approx (- 1/24 (/ 1 ( eps eps))) (/.f64 #s(literal -1 binary64) (.f64 eps eps))) (.f64 (*.f64 eps eps) eps)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (- (* 1/322560 (* eps eps)) 1/1920) #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 (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) #s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) eps)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 #s(approx (+ eps x) (.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps)) x) #s(literal 2 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) #s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 (/.f64 #s(literal 1 binary64) eps) eps)) (.f64 (*.f64 eps eps) eps)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.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 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (- (* 1/322560 (* eps eps)) 1/1920) #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 (+.f64 eps x) x) #s(literal 2 binary64))))

Outputs
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 (fma.f64 #s(approx (- (* 1/322560 (* eps eps)) 1/1920) #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 (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))

Outputs

(*.f64 #s(approx (* -2 (sin (/ (- x (- x eps)) 2))) (*.f64 (-.f64 (*.f64 (fma.f64 #s(approx (- (* 1/322560 (* eps eps)) 1/1920) #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 (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))

Calls

3 calls:

16.0ms	eps
9.0ms	x
7.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes29.0ms (0.4%)

Memory

-20.4MiB live, 24.8MiB allocated; 7ms collecting garbage

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) #s(approx (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/24 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 #s(approx (+ ( (* x x) -1/6) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (neg.f64 eps)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (neg.f64 eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (/.f64 (fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/8 binary64) (.f64 (.f64 x x) (neg.f64 x))) (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) (neg.f64 x)))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) eps)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(approx (+ (* (- (* 1/322560 (* eps eps)) 1/1920) (* eps eps)) 1/24) #s(literal 1/24 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) eps)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) #s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) #s(approx (* (- (* 1/24 (* eps eps)) 1) eps) (.f64 #s(approx (- 1/24 (/ 1 ( eps eps))) (/.f64 #s(literal -1 binary64) (.f64 eps eps))) (.f64 (*.f64 eps eps) eps)))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))

Outputs

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

Calls

3 calls:

12.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
8.0ms	eps
8.0ms	x

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes19.0ms (0.2%)

Memory

22.1MiB live, 22.1MiB allocated; 0ms collecting garbage

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) #s(approx (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/24 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 #s(approx (+ ( (* x x) -1/6) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (neg.f64 eps)) (sin.f64 #s(approx (/ (+ (+ eps x) x) 2) (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (.f64 (.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal -1/2 binary64))))
(.f64 #s(approx ( -2 (sin (/ (- x (- x eps)) 2))) (neg.f64 eps)) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (/.f64 (fma.f64 (.f64 (.f64 eps eps) eps) #s(literal -1/8 binary64) (.f64 (.f64 x x) (neg.f64 x))) (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) (neg.f64 x)))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))

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

Calls

3 calls:

7.0ms	eps
7.0ms	x
5.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes16.0ms (0.2%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) #s(approx (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/24 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 #s(approx (+ ( (* x x) -1/6) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes21.0ms (0.3%)

Memory

-27.9MiB live, 17.8MiB allocated; 6ms collecting garbage

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) #s(approx (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/24 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 #s(approx (+ ( (* x x) -1/6) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) eps))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))

Outputs

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

Calls

3 calls:

11.0ms	eps
5.0ms	x
4.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes14.0ms (0.2%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) #s(approx (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/24 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 #s(approx (+ ( (* x x) -1/6) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (sin (+ (/ (PI) 2) x))) (*.f64 (neg.f64 eps) (sin.f64 x)))

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes10.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) #s(approx (* (- (* 1/24 (* eps eps)) 1/2) (* eps eps)) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 1/24 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (* -1/2 (cos x)) eps) (sin x)) eps) (fma.f64 (neg.f64 eps) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (.f64 eps eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) #s(approx (+ (* -1/2 eps) (neg x)) (.f64 (-.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 #s(approx (+ ( (* x x) -1/6) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64))) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) eps) #s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (* -1/2 (cos x)) eps) (sin x)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.0%	1	`x`
98.0%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes15.0ms (0.2%)

Memory

-44.0MiB live, 11.8MiB allocated; 6ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
3.0ms	eps
2.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	eps
2.0ms	x
1.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
97.7%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
97.7%	1	`x`
97.7%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes3.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
53.3%	1	`x`
53.3%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations335.0ms (4.2%)

Memory

16.3MiB live, 147.1MiB allocated; 34ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 167 to 112 computations (32.9% saved)

preprocess77.0ms (1%)

Memory: 6.2MiB live, 110.3MiB allocated; 19ms collecting garbage
Compiler: Compiled 201 to 143 computations (28.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze38.0ms (0.5%)

sample5.5s (69.4%)

preprocess41.0ms (0.5%)

series4.0ms (0.1%)

rewrite914.0ms (11.6%)

eval10.0ms (0.1%)

prune7.0ms (0.1%)

series31.0ms (0.4%)

rewrite173.0ms (2.2%)

eval32.0ms (0.4%)

prune16.0ms (0.2%)

series25.0ms (0.3%)

rewrite152.0ms (1.9%)

eval40.0ms (0.5%)

prune25.0ms (0.3%)

series26.0ms (0.3%)

rewrite179.0ms (2.3%)

eval53.0ms (0.7%)

prune35.0ms (0.4%)

regimes37.0ms (0.5%)

regimes33.0ms (0.4%)

regimes29.0ms (0.4%)

regimes19.0ms (0.2%)

regimes16.0ms (0.2%)

regimes21.0ms (0.3%)

regimes14.0ms (0.2%)

regimes10.0ms (0.1%)

regimes15.0ms (0.2%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

derivations335.0ms (4.2%)

preprocess77.0ms (1%)

end0.0ms (0%)

Profiling