Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze45.0ms (0.5%)

Memory

16.3MiB live, 59.3MiB allocated; 5ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.7s (77.5%)

Memory

147.1MiB live, 6 444.8MiB allocated; 2.6s collecting garbage

Samples

2.8s	5 820×	2	valid
2.2s	26 421×	0	invalid
421.0ms	2 395×	1	valid
4.0ms	41×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.3s

ival-cos: 3.0s (69.7% of total)

adjust: 366.0ms (8.4% of total)

ival-fabs: 275.0ms (6.3% of total)

ival-<: 172.0ms (4% of total)

ival-add!: 152.0ms (3.5% of total)

ival-mult!: 149.0ms (3.4% of total)

ival-sub!: 120.0ms (2.8% of total)

ival-and: 65.0ms (1.5% of total)

ival-assert: 14.0ms (0.3% of total)

Bogosity

preprocess47.0ms (0.5%)

Memory

-25.0MiB live, 21.5MiB allocated; 6ms 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
▶	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB 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))

rewrite137.0ms (1.6%)

Memory

19.9MiB live, 110.6MiB allocated; 8ms 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: 13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 126 to 429 computations (61.9% saved)

prune6.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	95	7	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	7	103

Accuracy

99.8%

Counts

103 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) #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))))
▶	52.8%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	79.9%	(.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))))
▶	52.3%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
▶	99.7%	#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))
	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (sin.f64 x)) eps))
▶	81.6%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Compiler

Compiled 184 to 180 computations (2.2% saved)

series28.0ms (0.3%)

Memory

-28.4MiB live, 24.1MiB allocated; 7ms collecting garbage

Counts

33 → 101

Calls

Call 1

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

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 (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* 1/4 eps))))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 -1/2))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/36 (* eps x)))))) 1/2)))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* -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 (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#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 x) #s(hole binary64 (pow x 2)))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (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 (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#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 (* eps (- (* -1/2 (* eps (cos 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 (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos 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 (neg eps) #s(hole binary64 (* -1 eps)))
#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 (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (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 (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (sin x)) (* 1/2 (/ (cos 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)))))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) (- (cos (+ x eps)) (cos x)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 1/2)
3.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) (- (cos (+ x eps)) (cos x)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 1/2)
3.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) (- (cos (+ x eps)) (cos x)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 1/2)
3.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) (- (cos (+ x eps)) (cos x)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 1/2)
3.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (* (sin x) eps) (sin x) x eps 1/6 (* -1/2 (cos x)) -1/2 (cos x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (+ (* (* x x) -1/2) 1) (* x x) (- (cos (+ x eps)) (cos x)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 1/2)

rewrite250.0ms (2.9%)

Memory

25.3MiB live, 156.6MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	459	2386
0	503	2340
1	2734	2340
0	9858	2264

Stop Event

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

Counts

134 → 288

Calls

Call 1

Inputs
#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))
(.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)
(-.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))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) eps)
(sin.f64 x)
x
eps
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.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)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(neg.f64 eps)
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 (cos.f64 (+.f64 x eps)) #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 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#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 (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* 1/4 eps))))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 -1/2))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/36 (* eps x)))))) 1/2)))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x)))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2)))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2)))))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 eps)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* -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 (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#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 x) #s(hole binary64 (pow x 2)))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (- (* 1/24 (pow x 2)) 1/2)))
#s(approx (* 1/24 (* x x)) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* -1/2 (cos x)) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (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 (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#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 (* eps (- (* -1/2 (* eps (cos 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 (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos 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 (neg eps) #s(hole binary64 (* -1 eps)))
#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 (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (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 (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (sin x)) (* 1/2 (/ (cos 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)))))

Outputs
#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))
(.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)
(.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)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.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 #s(literal 2 binary64) x)))))) (neg.f64 (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.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 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.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 #s(literal 2 binary64) x)))) (.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))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.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 #s(literal 2 binary64) x))))) (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.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 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.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 #s(literal 2 binary64) x)))) (.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)))))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 2 binary64)) (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (fma.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.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 #s(literal 2 binary64) x)))) (.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))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.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 #s(literal 2 binary64) x)))) (.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))))))
(-.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))
(.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)
(.f64 eps (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) eps))
(fma.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 eps (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))))
(+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x))) (.f64 eps (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) eps))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 x) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 x) eps)) (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 x) eps)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal -1/6 binary64) (.f64 (sin.f64 x) eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/216 binary64) (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(fma.f64 (.f64 #s(literal 1/6 binary64) eps) (sin.f64 x) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (sin.f64 x) (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 x) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(-.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 x) eps)))
(+.f64 (/.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) (cos.f64 x)))))) (/.f64 (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
(+.f64 (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) (.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
(*.f64 (sin.f64 x) eps)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
x
eps
#s(literal 1/6 binary64)
(*.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 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
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#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 (* -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 (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #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 (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (*.f64 #s(literal 1/6 binary64) eps)) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)) (.f64 #s(literal 1/6 binary64) eps)) (*.f64 x x) (neg.f64 eps)) 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 (* x x) (*.f64 x x))
#s(approx (- (* 1/24 (* x x)) 1/2) (-.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (* 1/24 (* x x)) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.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 (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (-.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)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps))
#s(approx (sin x) (sin.f64 x))
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) (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 (+ (* (* x x) -1/2) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (* 1/24 (* x x)) 1/2) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (- (cos (+ x eps)) (cos 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)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (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 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -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 (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (- (cos eps) 1) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/24 binary64)) #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 (.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64)))
#s(approx (cos eps) (fma.f64 (-.f64 (.f64 (fma.f64 #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 (neg eps) (neg.f64 eps))
#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 (cos.f64 x) eps) #s(literal -1/2 binary64)) (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 (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (sin.f64 x)) #s(literal 1/6 binary64)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 (.f64 eps eps) eps)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 eps eps)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (.f64 (*.f64 eps eps) eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) (sin.f64 x)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 eps eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 eps eps)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (neg.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64))) (.f64 (.f64 eps eps) eps))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (neg.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64)))))
#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))))

eval82.0ms (1%)

Memory: -61.7MiB live, 38.9MiB allocated; 58ms collecting garbage
Compiler: Compiled 4 545 to 1 565 computations (65.6% saved)

prune13.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	308	10	318
Fresh	1	1	2
Picked	4	1	5
Done	0	0	0
Total	313	12	325

Accuracy

100.0%

Counts

325 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) #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))))
	79.9%	(.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))))
▶	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
	81.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 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))))
▶	81.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
▶	81.2%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
▶	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
▶	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	81.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))

Compiler

Compiled 515 to 488 computations (5.2% saved)

series38.0ms (0.4%)

Memory

-1.8MiB live, 47.3MiB allocated; 7ms collecting garbage

Counts

44 → 130

Calls

Call 1

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

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 (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* 1/4 eps))))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 -1/2))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/36 (* eps x)))))) 1/2)))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* 1/6 (* eps x))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* x (+ (* 1/6 eps) (* 1/4 x)))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* 1/6 eps)))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (+ (* 1/6 eps) (* 1/4 x))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- (* (* eps eps) 1/6) 1) x) #s(hole binary64 (* x (- (* 1/6 (pow eps 2)) 1))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
#s(approx (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* 1/6 (/ eps x))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1/4 (* 1/6 (/ eps x))) (/ 1/2 (pow x 2))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* 1/4 x)))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* x (+ 1/4 (* 1/6 (/ eps x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (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 (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* 1/4 (* eps (pow x 2)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps)) (/ 1 x)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps))) (/ 1 x)))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* 1/4 (* eps x))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* x (- (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps)) (/ 1 x)))))
#s(approx (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) #s(hole binary64 (* x (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/6 eps) (* 1/2 (/ 1 x))) x))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* -1 (* x (- (* -1/6 (/ eps x)) 1/4)))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/2 (/ (pow eps 2) x)))))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x))) x)) (* 1/4 eps)))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* 1/6 (pow eps 2)) 1) x)) (* -1/4 eps))))))
#s(approx (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) #s(hole binary64 (* -1 (* x (+ (* -1/4 eps) (* -1/6 (/ (pow eps 2) 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)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2)))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* -1 x) (* -1/2 eps)))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))))
#s(approx (* (- (* (* eps eps) 1/6) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (* (* eps eps) 1/6) 1) x) #s(hole binary64 (+ (* -1 x) (* 1/6 (* (pow eps 2) x)))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 -1))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2)))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* 1/4 (* eps x)) 1)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* eps (+ (* 1/6 eps) (* 1/4 x))) 1)))
#s(approx (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) #s(hole binary64 (* eps (+ (* 1/6 eps) (* 1/4 x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* eps (- (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* eps (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* eps (+ 1/6 (* 1/4 (/ x eps))))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* 1/6 (* (pow eps 3) x))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 3) (- (* 1/6 x) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))))
#s(approx (* (- (* (* eps eps) 1/6) 1) x) #s(hole binary64 (* 1/6 (* (pow eps 2) x))))
#s(approx (* (- (* (* eps eps) 1/6) 1) x) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps)))) (* 1/2 (/ 1 eps))))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* 1/4 (/ x eps))))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (+ 1/6 (* 1/4 (/ x eps))) (/ 1 (pow eps 2))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (- (* 1/4 (pow x 2)) 1/2) eps)) (* -1/6 x))))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* -1 (* eps (+ (* -1/4 (/ (pow x 2) eps)) (* -1/6 x))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* -1 (* eps (- (* -1/4 (/ x eps)) 1/6)))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) eps)) (* 1/6 x)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (+ (* -1/4 (pow x 2)) (/ x eps))) eps)) (* 1/6 x)))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* -1 (/ (+ (* -1/4 x) (/ 1 eps)) eps))))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (* (+ (* 1/4 x) (* 1/6 eps)) x) (+ (* 1/4 x) (* 1/6 eps)) 1/4 x (* 1/6 eps) 1/6 eps 1/2 (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (* (- (* (* eps eps) 1/6) 1) x) (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) (* eps eps) (* (* eps eps) -1/2) -1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) (* eps x) (* -1/2 eps))
6.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (* (+ (* 1/4 x) (* 1/6 eps)) x) (+ (* 1/4 x) (* 1/6 eps)) 1/4 x (* 1/6 eps) 1/6 eps 1/2 (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (* (- (* (* eps eps) 1/6) 1) x) (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) (* eps eps) (* (* eps eps) -1/2) -1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) (* eps x) (* -1/2 eps))
5.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (* (+ (* 1/4 x) (* 1/6 eps)) x) (+ (* 1/4 x) (* 1/6 eps)) 1/4 x (* 1/6 eps) 1/6 eps 1/2 (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (* (- (* (* eps eps) 1/6) 1) x) (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) (* eps eps) (* (* eps eps) -1/2) -1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) (* eps x) (* -1/2 eps))
5.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (* (+ (* 1/4 x) (* 1/6 eps)) x) (+ (* 1/4 x) (* 1/6 eps)) 1/4 x (* 1/6 eps) 1/6 eps 1/2 (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (* (- (* (* eps eps) 1/6) 1) x) (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) (* eps eps) (* (* eps eps) -1/2) -1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) (* eps x) (* -1/2 eps))
5.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (* (+ (* 1/4 x) (* 1/6 eps)) x) (+ (* 1/4 x) (* 1/6 eps)) 1/4 x (* 1/6 eps) 1/6 eps 1/2 (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (sin x) (* (+ (* (* x x) -1/6) 1) x) (+ (* (* x x) -1/6) 1) (* x x) -1/6 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (* (- (* (* eps eps) 1/6) 1) x) (- (* (* eps eps) 1/6) 1) (* (* eps eps) 1/6) (* eps eps) (* (* eps eps) -1/2) -1/2 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) (* eps x) (* -1/2 eps))

rewrite180.0ms (2.1%)

Memory

-35.7MiB live, 105.9MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	565	3773
0	604	3610
1	3243	3610
0	8052	3470

Stop Event

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

Counts

174 → 353

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)
(-.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x))
(.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps)
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64)))
(-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x)
(fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps))
#s(literal 1/4 binary64)
x
(*.f64 #s(literal 1/6 binary64) eps)
#s(literal 1/6 binary64)
eps
#s(literal 1/2 binary64)
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
(*.f64 (neg.f64 eps) #s(approx (sin x) x))
(neg.f64 eps)
#s(approx (sin x) x)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
(.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (sin x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)
(-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(*.f64 eps eps)
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps))
(.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))) eps)
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))
(-.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))
(*.f64 eps x)
(*.f64 #s(literal -1/2 binary64) eps)
#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 (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* 1/4 eps))))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 -1/2))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/36 (* eps x)))))) 1/2)))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* 1/6 (* eps x))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* x (+ (* 1/6 eps) (* 1/4 x)))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* 1/6 eps)))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (+ (* 1/6 eps) (* 1/4 x))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- (* (* eps eps) 1/6) 1) x) #s(hole binary64 (* x (- (* 1/6 (pow eps 2)) 1))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
#s(approx (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) #s(hole binary64 (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* 1/6 (/ eps x))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1/4 (* 1/6 (/ eps x))) (/ 1/2 (pow x 2))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* 1/4 x)))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* x (+ 1/4 (* 1/6 (/ eps x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (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 (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* 1/4 (* eps (pow x 2)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps)) (/ 1 x)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps))) (/ 1 x)))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* 1/4 (* eps x))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* x (- (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps)) (/ 1 x)))))
#s(approx (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) #s(hole binary64 (* x (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/6 eps) (* 1/2 (/ 1 x))) x))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* -1 (* x (- (* -1/6 (/ eps x)) 1/4)))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/2 (/ (pow eps 2) x)))))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x))) x)) (* 1/4 eps)))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* 1/6 (pow eps 2)) 1) x)) (* -1/4 eps))))))
#s(approx (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) #s(hole binary64 (* -1 (* x (+ (* -1/4 eps) (* -1/6 (/ (pow eps 2) 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)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2)))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (neg eps) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* -1 x) (* -1/2 eps)))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))))
#s(approx (* (- (* (* eps eps) 1/6) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (* (* eps eps) 1/6) 1) x) #s(hole binary64 (+ (* -1 x) (* 1/6 (* (pow eps 2) x)))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 -1))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2)))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* 1/4 (* eps x)) 1)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* eps (+ (* 1/6 eps) (* 1/4 x))) 1)))
#s(approx (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) #s(hole binary64 (* eps (+ (* 1/6 eps) (* 1/4 x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* eps (- (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* eps (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* eps (+ 1/6 (* 1/4 (/ x eps))))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* 1/6 (* (pow eps 3) x))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 3) (- (* 1/6 x) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))))
#s(approx (* (- (* (* eps eps) 1/6) 1) x) #s(hole binary64 (* 1/6 (* (pow eps 2) x))))
#s(approx (* (- (* (* eps eps) 1/6) 1) x) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)))))
#s(approx (- (* (* eps eps) 1/6) 1) #s(hole binary64 (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps)))) (* 1/2 (/ 1 eps))))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* 1/4 (/ x eps))))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (+ 1/6 (* 1/4 (/ x eps))) (/ 1 (pow eps 2))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (- (* 1/4 (pow x 2)) 1/2) eps)) (* -1/6 x))))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* -1 (* eps (+ (* -1/4 (/ (pow x 2) eps)) (* -1/6 x))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* -1 (* eps (- (* -1/4 (/ x eps)) 1/6)))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) eps)) (* 1/6 x)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (+ (* -1/4 (pow x 2)) (/ x eps))) eps)) (* 1/6 x)))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* -1 (/ (+ (* -1/4 x) (/ 1 eps)) eps))))))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)
(.f64 eps (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))) (neg.f64 (fma.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (fma.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)))))
(-.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x))
(.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps)
(.f64 eps #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64)))))
(-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x)
(.f64 x (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)))
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#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (-.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)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (.f64 (fma.f64 (/.f64 eps x) #s(literal 1/6 binary64) #s(literal 1/4 binary64)) (.f64 x x)))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (.f64 (.f64 x x) (-.f64 (fma.f64 (/.f64 eps x) #s(literal 1/6 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) (*.f64 #s(literal 1/4 binary64) x))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/6 binary64) #s(literal 1/4 binary64)) x))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 (.f64 x x) x)))
#s(approx (+ (* (* x x) -1/6) 1) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
#s(approx (+ (* (* x x) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal -1/2 binary64) (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/4 binary64)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x)) (.f64 x x)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (fma.f64 (/.f64 eps (.f64 x x)) #s(literal -1/2 binary64) (-.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (.f64 eps x) #s(literal 1/4 binary64)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) eps)) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) (.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/4 binary64) eps)) x))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (neg.f64 x))) (cos.f64 x)))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) eps (/.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 1/4 binary64)) (.f64 x x)))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 eps x) #s(literal -1/6 binary64)) #s(literal 1/4 binary64))))
#s(approx (* (+ (* (* x x) -1/6) 1) x) (.f64 (.f64 (neg.f64 x) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 1/2 binary64) (.f64 (neg.f64 eps) (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (fma.f64 #s(literal 1/4 binary64) eps (neg.f64 (/.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) (neg.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x))) (.f64 x x)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/4 binary64) eps (/.f64 (neg.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x))))
#s(approx (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/4 binary64) eps (.f64 (/.f64 (*.f64 eps eps) x) #s(literal -1/6 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -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 (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (neg.f64 (sin.f64 x)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (sin.f64 x)))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (*.f64 eps x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (*.f64 eps x) #s(literal 1/6 binary64))))
#s(approx eps eps)
#s(approx (neg eps) (neg.f64 eps))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 (fma.f64 (-.f64 (.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))
#s(approx (* (- (* (* eps eps) 1/6) 1) x) (neg.f64 x))
#s(approx (* (- (* (* eps eps) 1/6) 1) x) (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/6 binary64) (neg.f64 x)))
#s(approx (- (* (* eps eps) 1/6) 1) #s(literal -1 binary64))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (*.f64 eps x) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) eps (neg.f64 x)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (-.f64 (.f64 (.f64 eps x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) eps) #s(literal 1 binary64)))
#s(approx (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) eps))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (sin.f64 x)) #s(literal 1/6 binary64)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (.f64 (.f64 eps eps) eps)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 eps eps)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (.f64 (*.f64 eps eps) eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) (sin.f64 x)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 eps eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 eps eps)) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps)) eps))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) (.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) x)) eps))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) eps))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (neg.f64 x) (.f64 eps eps))) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 eps eps) eps)))
#s(approx (* (- (* (* eps eps) 1/6) 1) x) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/6 binary64)))
#s(approx (* (- (* (* eps eps) 1/6) 1) x) (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (neg.f64 x) (.f64 eps eps))) (*.f64 eps eps)))
#s(approx (- (* (* eps eps) 1/6) 1) (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (*.f64 eps eps)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 eps eps)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (+.f64 (/.f64 (neg.f64 x) (.f64 eps eps)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))) (*.f64 eps eps)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (fma.f64 (/.f64 x eps) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) (.f64 eps eps)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (.f64 eps eps) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (neg.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64))) (.f64 (.f64 eps eps) eps))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (neg.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64)))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/6 binary64) x (neg.f64 (/.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps)))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (.f64 x x) eps) #s(literal -1/4 binary64) (*.f64 #s(literal -1/6 binary64) x))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) (.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 x eps) #s(literal -1/4 binary64)) #s(literal 1/6 binary64))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 (.f64 (*.f64 eps eps) (neg.f64 eps)) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 (.f64 (*.f64 eps eps) (neg.f64 eps)) (fma.f64 #s(literal -1/6 binary64) x (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) eps)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) x (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps))) (*.f64 eps eps)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) x (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) (/.f64 x eps)) #s(literal 1/2 binary64)) eps))) (*.f64 eps eps)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 1/6 binary64)) (.f64 eps eps)))

eval43.0ms (0.5%)

Memory: 20.8MiB live, 65.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 368 to 2 211 computations (58.8% saved)

prune14.0ms (0.2%)

Memory

20.1MiB live, 20.1MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	328	6	334
Fresh	1	5	6
Picked	4	1	5
Done	0	1	1
Total	333	13	346

Accuracy

100.0%

Counts

346 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) #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))))
	79.9%	(.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))))
▶	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
	81.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 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))))
✓	81.2%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
▶	46.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 1/6 binary64)) (.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
▶	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (* (- (* (* eps eps) 1/6) 1) x) (neg.f64 x)) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 (fma.f64 (-.f64 (.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
▶	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))))
▶	81.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))

Compiler

Compiled 680 to 639 computations (6% saved)

series102.0ms (1.2%)

Memory

-12.4MiB live, 34.3MiB allocated; 3ms collecting garbage

Counts

56 → 194

Calls

Call 1

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

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 (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* 1/4 eps))))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 -1/2))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/36 (* eps x)))))) 1/2)))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* 1/6 (* eps x))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* x (+ (* 1/6 eps) (* 1/4 x)))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* 1/6 eps)))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (+ (* 1/6 eps) (* 1/4 x))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 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 (- (* 1/120 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* 1/120 (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* -1/2 eps) (neg x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (- (* 1/6 (* eps (pow x 2))) eps)))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* x x) 1/4) 1/2) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* (* x x) 1/4) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
#s(approx (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) #s(hole binary64 (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))))
#s(approx (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) #s(hole binary64 (+ (* 1/4 (* eps x)) (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (- 1/6 (/ 1 (pow eps 2)))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (- (+ 1/6 (* 1/4 (/ x eps))) (/ 1 (pow eps 2)))))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) #s(hole binary64 (/ -1 (pow eps 2))))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) #s(hole binary64 (- (* 1/4 (/ x eps)) (/ 1 (pow eps 2)))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (/ 1 (pow eps 2))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (+ (* -1/4 (/ x eps)) (/ 1 (pow eps 2)))))
#s(approx (+ (* -1/4 x) (/ 1 eps)) #s(hole binary64 (/ 1 eps)))
#s(approx (+ (* -1/4 x) (/ 1 eps)) #s(hole binary64 (+ (* -1/4 x) (/ 1 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* 1/6 (/ eps x))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1/4 (* 1/6 (/ eps x))) (/ 1/2 (pow x 2))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* 1/4 x)))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* x (+ 1/4 (* 1/6 (/ eps x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (+ (* -1/2 eps) (neg x)) eps) #s(hole binary64 (* x (+ (* -1 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* x (- (* -1/2 (/ eps x)) 1))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* 1/6 (* eps (pow x 3)))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* 1/6 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* 1/4 (* eps (pow x 2)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps)) (/ 1 x)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps))) (/ 1 x)))))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) #s(hole binary64 (* (pow x 2) (- (* 1/4 eps) (/ 1 x)))))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ 1 x)))))
#s(approx (- (* (* x x) 1/4) 1/2) #s(hole binary64 (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* 1/4 (* eps x))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* x (- (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps)) (/ 1 x)))))
#s(approx (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) #s(hole binary64 (* x (+ (* 1/4 eps) (/ (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2)))) x)))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (* 1/4 (/ x eps))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (* x (- (+ (* 1/4 (/ 1 eps)) (* 1/6 (/ 1 x))) (/ 1 (* (pow eps 2) x))))))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) #s(hole binary64 (* x (- (* 1/4 (/ 1 eps)) (/ 1 (* (pow eps 2) x))))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (* -1/4 (/ x eps))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (* x (- (/ 1 (* (pow eps 2) x)) (* 1/4 (/ 1 eps))))))
#s(approx (+ (* -1/4 x) (/ 1 eps)) #s(hole binary64 (* -1/4 x)))
#s(approx (+ (* -1/4 x) (/ 1 eps)) #s(hole binary64 (* x (- (/ 1 (* eps x)) 1/4))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/6 eps) (* 1/2 (/ 1 x))) x))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* -1 (* x (- (* -1/6 (/ eps x)) 1/4)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/2 (/ (pow eps 2) x)))))))
#s(approx (* (+ (* -1/2 eps) (neg x)) eps) #s(hole binary64 (* -1 (* x (+ eps (* 1/2 (/ (pow eps 2) x)))))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ eps x)))))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2)))))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x))) x)) (* 1/4 eps)))))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ eps x))) x)) (* 1/4 eps)))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* 1/6 (pow eps 2)) 1) x)) (* -1/4 eps))))))
#s(approx (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2)))) x)) (* -1/4 eps))))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/6 (/ 1 (pow eps 2))) x)) (* 1/4 (/ 1 eps)))))))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) #s(hole binary64 (* -1 (* x (- (/ 1 (* (pow eps 2) x)) (* 1/4 (/ 1 eps)))))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (* -1 (* x (- (* 1/4 (/ 1 eps)) (/ 1 (* (pow eps 2) x)))))))
#s(approx (+ (* -1/4 x) (/ 1 eps)) #s(hole binary64 (* -1 (* x (- 1/4 (/ 1 (* eps 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)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2)))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* -1 x) (* -1/2 eps)))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (- (* -1/2 eps) x)))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* eps (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* eps (- (* 1/6 (pow x 2)) 1))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2)))))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) #s(hole binary64 (- (* eps (- (* 1/4 (pow x 2)) 1/2)) x)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 -1))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* 1/4 (* eps x)) 1)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* eps (+ (* 1/6 eps) (* 1/4 x))) 1)))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (/ (- (* 1/4 (* eps x)) 1) (pow eps 2))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (/ (- (* eps (- (* 1/6 eps) (* -1/4 x))) 1) (pow eps 2))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (/ (+ 1 (* -1/4 (* eps x))) (pow eps 2))))
#s(approx (+ (* -1/4 x) (/ 1 eps)) #s(hole binary64 (/ (+ 1 (* -1/4 (* eps x))) eps)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* eps (- (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* eps (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* eps (+ 1/6 (* 1/4 (/ x eps))))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* 1/6 (* (pow eps 3) x))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 3) (- (* 1/6 x) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))))
#s(approx (* (+ (* -1/2 eps) (neg x)) eps) #s(hole binary64 (* (pow eps 2) (- (* -1 (/ x eps)) 1/2))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) 1/2))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* 1/6 (* (pow eps 2) x))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps)))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) #s(hole binary64 (* eps (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) #s(hole binary64 (* eps (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* 1/4 (/ x eps))))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (+ 1/6 (* 1/4 (/ x eps))) (/ 1 (pow eps 2))))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (+ 1/6 (* 1/4 (/ x eps)))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (+ 1/6 (* -1 (/ (+ (* -1/4 x) (/ 1 eps)) eps)))))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) #s(hole binary64 (* -1 (/ (+ (* -1/4 x) (/ 1 eps)) eps))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (/ (+ (* -1/4 x) (/ 1 eps)) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (- (* 1/4 (pow x 2)) 1/2) eps)) (* -1/6 x))))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* -1 (* eps (+ (* -1/4 (/ (pow x 2) eps)) (* -1/6 x))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* -1 (* eps (- (* -1/4 (/ x eps)) 1/6)))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* -1 (* eps (+ 1/2 (/ x eps))))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* -1 (* eps (* x (+ 1 (* -1/6 (pow x 2))))))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* -1 (* eps (+ 1 (* -1/6 (pow x 2)))))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) eps)) (* 1/6 x)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (+ (* -1/4 (pow x 2)) (/ x eps))) eps)) (* 1/6 x)))))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (- (* 1/4 (pow x 2)) 1/2)) (/ x eps))))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* -1 (/ (+ (* -1/4 x) (/ 1 eps)) eps))))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (+ 1/6 (* -1 (/ (- (/ 1 eps) (* 1/4 x)) eps)))))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) #s(hole binary64 (* -1 (/ (- (/ 1 eps) (* 1/4 x)) eps))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (* -1 (/ (- (* 1/4 x) (/ 1 eps)) eps))))

Calls

6 calls:

Time	Variable		Point	Expression
64.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (* (+ (* 1/4 x) (* 1/6 eps)) x) (+ (* 1/4 x) (* 1/6 eps)) 1/4 x (* 1/6 eps) 1/6 eps 1/2 (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (* (+ (* -1/2 eps) (neg x)) eps) (+ (* -1/2 eps) (neg x)) -1/2 (neg x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (+ (* (* (* x x) eps) 1/6) (neg eps)) (* (* x x) eps) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (- (* (* x x) 1/4) 1/2) (* (* x x) 1/4) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) (/ (+ (* -1/4 x) (/ 1 eps)) eps) (+ (* -1/4 x) (/ 1 eps)) -1/4 (/ 1 eps) (* eps eps) (* -1/2 eps))
10.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (* (+ (* 1/4 x) (* 1/6 eps)) x) (+ (* 1/4 x) (* 1/6 eps)) 1/4 x (* 1/6 eps) 1/6 eps 1/2 (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (* (+ (* -1/2 eps) (neg x)) eps) (+ (* -1/2 eps) (neg x)) -1/2 (neg x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (+ (* (* (* x x) eps) 1/6) (neg eps)) (* (* x x) eps) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (- (* (* x x) 1/4) 1/2) (* (* x x) 1/4) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) (/ (+ (* -1/4 x) (/ 1 eps)) eps) (+ (* -1/4 x) (/ 1 eps)) -1/4 (/ 1 eps) (* eps eps) (* -1/2 eps))
6.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (* (+ (* 1/4 x) (* 1/6 eps)) x) (+ (* 1/4 x) (* 1/6 eps)) 1/4 x (* 1/6 eps) 1/6 eps 1/2 (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (* (+ (* -1/2 eps) (neg x)) eps) (+ (* -1/2 eps) (neg x)) -1/2 (neg x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (+ (* (* (* x x) eps) 1/6) (neg eps)) (* (* x x) eps) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (- (* (* x x) 1/4) 1/2) (* (* x x) 1/4) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) (/ (+ (* -1/4 x) (/ 1 eps)) eps) (+ (* -1/4 x) (/ 1 eps)) -1/4 (/ 1 eps) (* eps eps) (* -1/2 eps))
6.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (* (+ (* 1/4 x) (* 1/6 eps)) x) (+ (* 1/4 x) (* 1/6 eps)) 1/4 x (* 1/6 eps) 1/6 eps 1/2 (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (* (+ (* -1/2 eps) (neg x)) eps) (+ (* -1/2 eps) (neg x)) -1/2 (neg x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (+ (* (* (* x x) eps) 1/6) (neg eps)) (* (* x x) eps) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (- (* (* x x) 1/4) 1/2) (* (* x x) 1/4) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) (/ (+ (* -1/4 x) (/ 1 eps)) eps) (+ (* -1/4 x) (/ 1 eps)) -1/4 (/ 1 eps) (* eps eps) (* -1/2 eps))
5.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (* (+ (* 1/4 x) (* 1/6 eps)) x) (+ (* 1/4 x) (* 1/6 eps)) 1/4 x (* 1/6 eps) 1/6 eps 1/2 (sin x) (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) (- (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 (* x x) 1 (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (* (+ (* -1/2 eps) (neg x)) eps) (+ (* -1/2 eps) (neg x)) -1/2 (neg x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (+ (* (* (* x x) eps) 1/6) (neg eps)) (* (* x x) eps) (neg eps) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (- (* (* x x) 1/4) 1/2) (* (* x x) 1/4) (- (cos (+ x eps)) (cos x)) (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) (/ (+ (* -1/4 x) (/ 1 eps)) eps) (+ (* -1/4 x) (/ 1 eps)) -1/4 (/ 1 eps) (* eps eps) (* -1/2 eps))

rewrite207.0ms (2.4%)

Memory

-15.7MiB live, 171.0MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	773	5689
0	831	5404
1	4234	5404
0	8637	5216

Stop Event

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

Counts

250 → 472

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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))
(.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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)
(-.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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)))
(.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps)
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64)))
(-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x)
(fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps))
#s(literal 1/4 binary64)
x
(*.f64 #s(literal 1/6 binary64) eps)
#s(literal 1/6 binary64)
eps
#s(literal 1/2 binary64)
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (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)
(fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps)))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))
(*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps)
(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)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
(.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)
(fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps))
(.f64 (.f64 x x) eps)
(neg.f64 eps)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
(.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps)
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x))
(-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 1/6 binary64)) (.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
(.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 1/6 binary64)) (.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 1/6 binary64)) (.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 #s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 1/6 binary64)) (.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 1/6 binary64)) (.f64 eps eps)))
(.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 1/6 binary64)) (.f64 eps eps))
(+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 1/6 binary64))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps))
(/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)
(fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps))
#s(literal -1/4 binary64)
(/.f64 #s(literal 1 binary64) eps)
(*.f64 eps eps)
(*.f64 #s(literal -1/2 binary64) eps)
#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 (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1/2 (pow eps 2))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* 1/4 (pow eps 2)) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1/2 eps)))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* 1/4 eps) (* x (+ 1/6 (* -1/36 (pow eps 2))))))) 1)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x)))))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (+ (* -1/2 eps) (* x (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/36 (* (pow eps 2) x)) (* 1/4 eps))))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 -1/2))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* 1/6 (* eps x)) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* 1/4 x))) 1/2)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (- (* x (+ (* 1/6 eps) (* x (+ 1/4 (* -1/36 (* eps x)))))) 1/2)))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* 1/6 (* eps x))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* x (+ (* 1/6 eps) (* 1/4 x)))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* 1/6 eps)))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (+ (* 1/6 eps) (* 1/4 x))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (- (* 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 (- (* 1/120 (* x x)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (- (* 1/120 (pow x 2)) 1/6)))
#s(approx (* 1/120 (* x x)) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* -1/2 eps) (neg x)) eps) #s(hole binary64 (+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (+ (* -1 x) (* -1/2 eps))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps x))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* -1 eps)))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (- (* 1/6 (* eps (pow x 2))) eps)))
#s(approx (* (* x x) eps) #s(hole binary64 (* eps (pow x 2))))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) #s(hole binary64 (+ (* -1/2 eps) (* x (- (* 1/4 (* eps x)) 1)))))
#s(approx (- (* (* x x) 1/4) 1/2) #s(hole binary64 (- (* 1/4 (pow x 2)) 1/2)))
#s(approx (* (* x x) 1/4) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* 1/6 (pow eps 2)) 1)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
#s(approx (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) #s(hole binary64 (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2))))))
#s(approx (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) #s(hole binary64 (+ (* 1/4 (* eps x)) (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2)))))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (- 1/6 (/ 1 (pow eps 2)))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (- (+ 1/6 (* 1/4 (/ x eps))) (/ 1 (pow eps 2)))))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) #s(hole binary64 (/ -1 (pow eps 2))))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) #s(hole binary64 (- (* 1/4 (/ x eps)) (/ 1 (pow eps 2)))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (/ 1 (pow eps 2))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (+ (* -1/4 (/ x eps)) (/ 1 (pow eps 2)))))
#s(approx (+ (* -1/4 x) (/ 1 eps)) #s(hole binary64 (/ 1 eps)))
#s(approx (+ (* -1/4 x) (/ 1 eps)) #s(hole binary64 (+ (* -1/4 x) (/ 1 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (+ eps x)) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* 1/6 (/ eps x))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1/4 (* 1/6 (/ eps x))) (/ 1/2 (pow x 2))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* 1/4 x)))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* x (+ 1/4 (* 1/6 (/ eps x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 1/120 (pow x 5))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))))
#s(approx (* (+ (* -1/2 eps) (neg x)) eps) #s(hole binary64 (* x (+ (* -1 eps) (* -1/2 (/ (pow eps 2) x))))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* x (- (* -1/2 (/ eps x)) 1))))
#s(approx (* (neg eps) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* 1/6 (* eps (pow x 3)))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* 1/6 (* eps (pow x 2)))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* 1/4 (* eps (pow x 2)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps)) (/ 1 x)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps))) (/ 1 x)))))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) #s(hole binary64 (* (pow x 2) (- (* 1/4 eps) (/ 1 x)))))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) #s(hole binary64 (* (pow x 2) (- (+ (* -1/2 (/ eps (pow x 2))) (* 1/4 eps)) (/ 1 x)))))
#s(approx (- (* (* x x) 1/4) 1/2) #s(hole binary64 (* (pow x 2) (- 1/4 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* 1/4 (* eps x))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* x (- (+ (* 1/6 (/ (pow eps 2) x)) (* 1/4 eps)) (/ 1 x)))))
#s(approx (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) #s(hole binary64 (* x (+ (* 1/4 eps) (/ (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2)))) x)))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (* 1/4 (/ x eps))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (* x (- (+ (* 1/4 (/ 1 eps)) (* 1/6 (/ 1 x))) (/ 1 (* (pow eps 2) x))))))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) #s(hole binary64 (* x (- (* 1/4 (/ 1 eps)) (/ 1 (* (pow eps 2) x))))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (* -1/4 (/ x eps))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (* x (- (/ 1 (* (pow eps 2) x)) (* 1/4 (/ 1 eps))))))
#s(approx (+ (* -1/4 x) (/ 1 eps)) #s(hole binary64 (* -1/4 x)))
#s(approx (+ (* -1/4 x) (/ 1 eps)) #s(hole binary64 (* x (- (/ 1 (* eps x)) 1/4))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- eps (* -1 x))) (cos x))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/6 eps) (* 1/2 (/ 1 x))) x))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* -1 (* x (- (* -1/6 (/ eps x)) 1/4)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))))
#s(approx (* (+ (* (- (* 1/120 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* x (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* 1/2 (/ (pow eps 2) x)))))))
#s(approx (* (+ (* -1/2 eps) (neg x)) eps) #s(hole binary64 (* -1 (* x (+ eps (* 1/2 (/ (pow eps 2) x)))))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ eps x)))))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2)))))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x))) x)) (* 1/4 eps)))))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ eps x))) x)) (* 1/4 eps)))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* 1/6 (pow eps 2)) 1) x)) (* -1/4 eps))))))
#s(approx (* (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (* eps eps)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* (pow eps 2) (- 1/6 (/ 1 (pow eps 2)))) x)) (* -1/4 eps))))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/6 (/ 1 (pow eps 2))) x)) (* 1/4 (/ 1 eps)))))))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) #s(hole binary64 (* -1 (* x (- (/ 1 (* (pow eps 2) x)) (* 1/4 (/ 1 eps)))))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (* -1 (* x (- (* 1/4 (/ 1 eps)) (/ 1 (* (pow eps 2) x)))))))
#s(approx (+ (* -1/4 x) (/ 1 eps)) #s(hole binary64 (* -1 (* x (- 1/4 (/ 1 (* eps 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)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* -1 (sin x))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (- (* -1/2 (* eps (cos x))) (sin x))))
#s(approx (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) #s(hole binary64 (* -1/2 (* eps (cos x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1/2 (cos x))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2)))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* -1 x) (* -1/2 eps)))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (- (* -1/2 eps) x)))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* eps (* x (- (* 1/6 (pow x 2)) 1)))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* eps (- (* 1/6 (pow x 2)) 1))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (+ (* -1 x) (* eps (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2)))))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) #s(hole binary64 (- (* eps (- (* 1/4 (pow x 2)) 1/2)) x)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 -1))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* 1/4 (* eps x)) 1)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (- (* eps (+ (* 1/6 eps) (* 1/4 x))) 1)))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (/ (- (* 1/4 (* eps x)) 1) (pow eps 2))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (/ (- (* eps (- (* 1/6 eps) (* -1/4 x))) 1) (pow eps 2))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (/ (+ 1 (* -1/4 (* eps x))) (pow eps 2))))
#s(approx (+ (* -1/4 x) (/ 1 eps)) #s(hole binary64 (/ (+ 1 (* -1/4 (* eps x))) eps)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* 1/6 (* (pow eps 3) (sin x)))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* 1/6 (* (pow eps 2) (sin x)))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* 1/6 (* eps (sin x)))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* eps (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* eps (- (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* eps (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* eps (+ 1/6 (* 1/4 (/ x eps))))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* 1/6 (* (pow eps 3) x))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 3) (- (* 1/6 x) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))))
#s(approx (* (+ (* -1/2 eps) (neg x)) eps) #s(hole binary64 (* (pow eps 2) (- (* -1 (/ x eps)) 1/2))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) 1/2))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* 1/6 (* (pow eps 2) x))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (+ (* 1/6 x) (* 1/4 (/ (pow x 2) eps)))) (* 1/2 (/ 1 eps))))))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) #s(hole binary64 (* eps (- (* 1/4 (pow x 2)) 1/2))))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) #s(hole binary64 (* eps (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* 1/6 (pow eps 2))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* 1/4 (/ x eps))))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (- (+ 1/6 (* 1/4 (/ x eps))) (/ 1 (pow eps 2))))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (+ 1/6 (* 1/4 (/ x eps)))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (+ 1/6 (* -1 (/ (+ (* -1/4 x) (/ 1 eps)) eps)))))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) #s(hole binary64 (* -1 (/ (+ (* -1/4 x) (/ 1 eps)) eps))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (/ (+ (* -1/4 x) (/ 1 eps)) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(hole binary64 (- (cos (- x (* -1 eps))) (cos x))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(hole binary64 (* -1 (* eps (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (- (* 1/4 (pow x 2)) 1/2) eps)) (* -1/6 x))))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) #s(hole binary64 (* -1 (* eps (+ (* -1/4 (/ (pow x 2) eps)) (* -1/6 x))))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) #s(hole binary64 (* -1 (* eps (- (* -1/4 (/ x eps)) 1/6)))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))))
#s(approx (+ (* -1/2 eps) (neg x)) #s(hole binary64 (* -1 (* eps (+ 1/2 (/ x eps))))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) #s(hole binary64 (* -1 (* eps (* x (+ 1 (* -1/6 (pow x 2))))))))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) #s(hole binary64 (* -1 (* eps (+ 1 (* -1/6 (pow x 2)))))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (* -1/4 (pow x 2))) eps)) (* 1/6 x)))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ 1/2 (+ (* -1/4 (pow x 2)) (/ x eps))) eps)) (* 1/6 x)))))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) #s(hole binary64 (* -1 (* eps (+ (* -1 (- (* 1/4 (pow x 2)) 1/2)) (/ x eps))))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) #s(hole binary64 (* (pow eps 2) (+ 1/6 (* -1 (/ (+ (* -1/4 x) (/ 1 eps)) eps))))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(hole binary64 (+ 1/6 (* -1 (/ (- (/ 1 eps) (* 1/4 x)) eps)))))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) #s(hole binary64 (* -1 (/ (- (/ 1 eps) (* 1/4 x)) eps))))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) #s(hole binary64 (* -1 (/ (- (* 1/4 x) (/ 1 eps)) eps))))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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))
(.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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)
(.f64 eps (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(literal 2 binary64)) (pow.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(literal 2 binary64)) (+.f64 (pow.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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)))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(literal 2 binary64)) (pow.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (fma.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) #s(literal 2 binary64)) (+.f64 (pow.f64 #s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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))))))
(-.f64 (.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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)))
(.f64 #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps)
(.f64 eps #s(approx (+ ( (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64)))))
(-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x)
(.f64 x (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)))
(fma.f64 (.f64 #s(literal 1/6 binary64) eps) x (.f64 (*.f64 #s(literal 1/4 binary64) x) x))
(fma.f64 (.f64 eps x) #s(literal 1/6 binary64) (.f64 (*.f64 #s(literal 1/4 binary64) x) x))
(fma.f64 #s(literal 1/6 binary64) (.f64 eps x) (.f64 (*.f64 #s(literal 1/4 binary64) x) x))
(fma.f64 x (.f64 #s(literal 1/6 binary64) eps) (.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(+.f64 (.f64 x (.f64 #s(literal 1/6 binary64) eps)) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
(+.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) x) x))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 #s(literal 1/4 binary64) x)))) (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal 1/4 binary64) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 #s(literal 1/4 binary64) x)) (.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal 1/6 binary64) eps)))) (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 #s(literal 1/6 binary64) eps))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (.f64 #s(literal -1/4 binary64) x) (.f64 #s(literal -1/4 binary64) x)))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) eps (*.f64 #s(literal -1/4 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 eps eps) eps) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal 1/6 binary64) eps) (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 #s(literal 1/4 binary64) x)) (.f64 (.f64 #s(literal 1/6 binary64) eps) (*.f64 #s(literal 1/4 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) x) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 eps eps) eps)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 #s(literal 1/4 binary64) x) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (.f64 #s(literal 1/4 binary64) x) (*.f64 #s(literal 1/6 binary64) eps))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 eps eps) eps)) (.f64 #s(literal -1/64 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal 1/6 binary64) eps) (fma.f64 (.f64 #s(literal -1/4 binary64) x) (.f64 #s(literal -1/4 binary64) x) (.f64 (.f64 #s(literal 1/6 binary64) eps) (*.f64 #s(literal -1/4 binary64) x))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 #s(literal 1/4 binary64) x))) (-.f64 (.f64 #s(literal 1/6 binary64) eps) (.f64 #s(literal 1/4 binary64) x)))
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#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 eps eps) eps)))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (neg.f64 x) (.f64 eps eps))) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 (.f64 eps eps) eps)))
#s(approx (* (+ (* -1/2 eps) (neg x)) eps) (.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) (.f64 eps eps)))
#s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) eps))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 eps eps) x) #s(literal 1/6 binary64)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps)) (.f64 eps eps)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (+.f64 (/.f64 (neg.f64 x) (.f64 eps eps)) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))) (*.f64 eps eps)))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (/.f64 (neg.f64 x) eps)) #s(literal 1/2 binary64)) eps))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (fma.f64 (/.f64 x eps) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) (.f64 eps eps)))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (.f64 eps eps) (-.f64 (fma.f64 (/.f64 x eps) #s(literal 1/4 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (fma.f64 (/.f64 x eps) #s(literal 1/4 binary64) #s(literal 1/6 binary64)))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) (neg.f64 eps)) #s(literal 1/6 binary64)))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) (neg.f64 eps)))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (neg.f64 eps))) (cos.f64 x)))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (neg.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64))) (.f64 (.f64 eps eps) eps))))
#s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (neg.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) eps))) (.f64 (*.f64 eps eps) eps))))
#s(approx (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)) eps))) (.f64 eps eps)))
#s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (.f64 (sin.f64 x) #s(literal -1/6 binary64)))))
#s(approx (- (* (+ (* 1/4 x) (* 1/6 eps)) x) 1/2) (.f64 (neg.f64 eps) (fma.f64 #s(literal -1/6 binary64) x (neg.f64 (/.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps)))))
#s(approx (* (+ (* 1/4 x) (* 1/6 eps)) x) (.f64 (neg.f64 eps) (fma.f64 (/.f64 (.f64 x x) eps) #s(literal -1/4 binary64) (*.f64 #s(literal -1/6 binary64) x))))
#s(approx (+ (* 1/4 x) (* 1/6 eps)) (.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 x eps) #s(literal -1/4 binary64)) #s(literal 1/6 binary64))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 (.f64 (*.f64 eps eps) (neg.f64 eps)) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal 1/2 binary64) eps))))
#s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 (.f64 (*.f64 eps eps) (neg.f64 eps)) (fma.f64 #s(literal -1/6 binary64) x (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) eps)))))
#s(approx (+ (* -1/2 eps) (neg x)) (*.f64 (neg.f64 eps) (+.f64 (/.f64 x eps) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (.f64 (neg.f64 eps) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)))
#s(approx (+ (* (* (* x x) eps) 1/6) (neg eps)) (.f64 (neg.f64 eps) (fma.f64 (.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) x (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps))) (*.f64 eps eps)))
#s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) x (neg.f64 (/.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)) eps))) (*.f64 eps eps)))
#s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (.f64 (neg.f64 eps) (+.f64 (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (/.f64 x eps))))
#s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) (neg.f64 eps)) #s(literal 1/6 binary64)) eps) eps))
#s(approx (+ (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) 1/6) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) (neg.f64 eps)) #s(literal 1/6 binary64)))
#s(approx (neg (/ (+ (* -1/4 x) (/ 1 eps)) eps)) (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) (neg.f64 eps)))
#s(approx (/ (+ (* -1/4 x) (/ 1 eps)) eps) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps)) eps)))

eval61.0ms (0.7%)

Memory: 20.6MiB live, 116.1MiB allocated; 15ms collecting garbage
Compiler: Compiled 7 310 to 3 351 computations (54.2% saved)

prune43.0ms (0.5%)

Memory

25.3MiB live, 69.3MiB allocated; 8ms collecting garbage

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	451	9	460
Fresh	1	5	6
Picked	4	1	5
Done	0	2	2
Total	456	17	473

Accuracy

100.0%

Counts

473 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.0%	(-.f64 (cos.f64 (+.f64 x eps)) #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))))
	79.9%	(.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))))
	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) 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))
✓	99.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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))
	99.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 #s(approx (+ ( 1/4 x) (* 1/6 eps)) (.f64 #s(literal 1/4 binary64) x)) 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))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -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))
	81.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 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))))
✓	81.2%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps) x)))) eps))
	99.1%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (* (- (* (* eps eps) 1/6) 1) x) (neg.f64 x)) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 (fma.f64 (-.f64 (.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
	98.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 #s(approx (+ ( -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) eps))))
	98.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(approx (* (+ (* -1/2 eps) (neg x)) eps) (.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) (.f64 eps eps))))))
	81.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (-.f64 (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64)) eps)) x)))
	34.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (neg.f64 eps) (.f64 x x))) (*.f64 x x))) x)))

Compiler

Compiled 944 to 744 computations (21.2% saved)

regimes34.0ms (0.4%)

Memory

-14.4MiB live, 25.4MiB allocated; 11ms collecting garbage

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 #s(approx (+ ( -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (* (- (* (* eps eps) 1/6) 1) x) (neg.f64 x)) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(approx (* (+ (* -1/2 eps) (neg x)) eps) (.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) (.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (-.f64 (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64)) eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps) x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 (fma.f64 (-.f64 (.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (neg.f64 eps) (.f64 x x))) (*.f64 x x))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 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))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #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 (+ (* (* (sin x) eps) 1/6) (* -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 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 1/6 binary64)) (.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 #s(approx (+ ( 1/4 x) (* 1/6 eps)) (.f64 #s(literal 1/4 binary64) x)) 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 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #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 (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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))
(-.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 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) 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))
(-.f64 (cos.f64 (+.f64 x eps)) #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 eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) x) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.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))
(.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))))
#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))

Outputs

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

Calls

3 calls:

19.0ms	eps
8.0ms	x
5.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes19.0ms (0.2%)

Memory

21.8MiB live, 21.8MiB allocated; 0ms collecting garbage

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 #s(approx (+ ( -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (* (- (* (* eps eps) 1/6) 1) x) (neg.f64 x)) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(approx (* (+ (* -1/2 eps) (neg x)) eps) (.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) (.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (-.f64 (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64)) eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps) x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 (fma.f64 (-.f64 (.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (neg.f64 eps) (.f64 x x))) (*.f64 x x))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 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))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #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 (+ (* (* (sin x) eps) 1/6) (* -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 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 1/6 binary64)) (.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 #s(approx (+ ( 1/4 x) (* 1/6 eps)) (.f64 #s(literal 1/4 binary64) x)) 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 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #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 (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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))
(-.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 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) 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))
(-.f64 (cos.f64 (+.f64 x eps)) #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))))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) #s(literal 1/4 binary64)) x (.f64 #s(literal 1/6 binary64) eps)) 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))

Outputs

#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 eps x) #s(literal 1/4 binary64)) x (*.f64 #s(literal 1/6 binary64) eps)) 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:

6.0ms	eps
6.0ms	x
4.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes21.0ms (0.2%)

Memory

-26.1MiB live, 20.6MiB allocated; 2ms collecting garbage

Counts

26 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 #s(approx (+ ( -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (* (- (* (* eps eps) 1/6) 1) x) (neg.f64 x)) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(approx (* (+ (* -1/2 eps) (neg x)) eps) (.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) (.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (-.f64 (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64)) eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps) x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 (fma.f64 (-.f64 (.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (neg.f64 eps) (.f64 x x))) (*.f64 x x))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 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))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #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 (+ (* (* (sin x) eps) 1/6) (* -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 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 1/6 binary64)) (.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 #s(approx (+ ( 1/4 x) (* 1/6 eps)) (.f64 #s(literal 1/4 binary64) x)) 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 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #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 (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) #s(literal -1/2 binary64)) eps) (sin.f64 x)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))

Outputs

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

9.0ms	eps
6.0ms	x
4.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes16.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) #s(approx (sin x) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 #s(approx (+ ( -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (*.f64 (fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 #s(approx (* (- (* (* eps eps) 1/6) 1) x) (neg.f64 x)) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) #s(approx (* (+ (* -1/2 eps) (neg x)) eps) (.f64 (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)) (.f64 eps eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (-.f64 (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64)) eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) #s(approx (sin x) (.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) #s(approx (+ (* (- (* (* x x) 1/4) 1/2) eps) (neg x)) (-.f64 (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps) x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (.f64 (fma.f64 (-.f64 (.f64 (*.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) #s(approx (+ (* (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (.f64 (fma.f64 #s(literal 1/6 binary64) eps (/.f64 (neg.f64 eps) (.f64 x x))) (*.f64 x x))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) (fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 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))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (.f64 eps x) #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #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 (+ (* (* (sin x) eps) 1/6) (* -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 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 #s(approx (- (+ (* (* eps x) 1/4) (* (* eps eps) 1/6)) 1) (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 #s(literal 1 binary64) eps)) eps)) #s(literal 1/6 binary64)) (.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps)) 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 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (-.f64 (.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (.f64 #s(approx (+ ( 1/4 x) (* 1/6 eps)) (.f64 #s(literal 1/4 binary64) x)) 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 #s(approx (- ( (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps eps) #s(literal 1/6 binary64)) x (.f64 #s(literal 1/4 binary64) eps)) x (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) #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 (+ (* (* (sin x) eps) 1/6) (* -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 (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) (-.f64 (*.f64 #s(approx (+ (* 1/4 x) (* 1/6 eps)) (*.f64 #s(literal 1/4 binary64) x)) 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:

6.0ms	x
6.0ms	eps
4.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes34.0ms (0.4%)

Memory

-33.6MiB live, 17.5MiB allocated; 35ms collecting garbage

Counts

21 → 1

Calls

Call 1

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

Outputs

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

25.0ms	x
5.0ms	eps
4.0ms	(-.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)

regimes13.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

Outputs

#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (* (sin x) eps) 1/6) (* -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:

4.0ms	x
4.0ms	eps
3.0ms	(-.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	`eps`
99.5%	1	`x`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes12.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

4.0ms	eps
4.0ms	x
3.0ms	(-.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)

regimes13.0ms (0.2%)

Memory

-34.1MiB live, 13.3MiB allocated; 3ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

7.0ms	x
3.0ms	eps
2.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (* (sin x) eps) 1/6) (* -1/2 (cos x))) eps) (sin x)) eps) #s(approx (+ (* (* (- (* (* eps eps) 1/6) 1) x) eps) (* (* eps eps) -1/2)) (*.f64 #s(approx (+ (* -1/2 eps) (neg x)) (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) 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
98.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.9%	1	`x`
98.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes3.0ms (0%)

Memory

6.2MiB live, 6.2MiB 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 (neg.f64 eps) #s(approx (sin x) x)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
81.2%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
81.2%	1	`x`
81.2%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations331.0ms (3.8%)

Memory

-8.1MiB live, 176.8MiB allocated; 27ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 148 to 112 computations (24.3% saved)

preprocess130.0ms (1.5%)

Memory: 19.0MiB live, 157.1MiB allocated; 21ms collecting garbage
Compiler: Compiled 182 to 143 computations (21.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze45.0ms (0.5%)

sample6.7s (77.5%)

preprocess47.0ms (0.5%)

series5.0ms (0.1%)

rewrite137.0ms (1.6%)

eval10.0ms (0.1%)

prune6.0ms (0.1%)

series28.0ms (0.3%)

rewrite250.0ms (2.9%)

eval82.0ms (1%)

prune13.0ms (0.2%)

series38.0ms (0.4%)

rewrite180.0ms (2.1%)

eval43.0ms (0.5%)

prune14.0ms (0.2%)

series102.0ms (1.2%)

rewrite207.0ms (2.4%)

eval61.0ms (0.7%)

prune43.0ms (0.5%)

regimes34.0ms (0.4%)

regimes19.0ms (0.2%)

regimes21.0ms (0.2%)

regimes16.0ms (0.2%)

regimes34.0ms (0.4%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes13.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

derivations331.0ms (3.8%)

preprocess130.0ms (1.5%)

end0.0ms (0%)

Profiling