Metrics for Linear.Projection:inversePerspective from linear-1.19.1.3, B

start0.0ms (0%)

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

analyze23.0ms (2.1%)

Memory

20.9MiB live, 66.0MiB allocated; 6ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample731.0ms (65.8%)

Memory

-44.4MiB live, 1 030.0MiB allocated; 326ms collecting garbage

Samples

470.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 239.0ms

ival-sub!: 109.0ms (45.6% of total)

ival-mult!: 90.0ms (37.6% of total)

ival-div!: 38.0ms (15.9% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

preprocess66.0ms (5.9%)

Memory

-8.6MiB live, 36.4MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	79	58
2	340	42
3	2384	42
4	7925	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.1%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 14 to 14 computations (0% saved)

series10.0ms (0.9%)

Memory

15.4MiB live, 15.5MiB allocated; 0ms collecting garbage

Counts

7 → 16

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(-.f64 x y)
x
y
(.f64 (.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x)))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x 2) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx y #s(hole binary64 y))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ (- x y) (* (* x 2) y)) (- x y) x y (* (* x 2) y) (* x 2) 2)
2.0ms	y	@	-inf	((/ (- x y) (* (* x 2) y)) (- x y) x y (* (* x 2) y) (* x 2) 2)
2.0ms	x	@	inf	((/ (- x y) (* (* x 2) y)) (- x y) x y (* (* x 2) y) (* x 2) 2)
1.0ms	x	@	0	((/ (- x y) (* (* x 2) y)) (- x y) x y (* (* x 2) y) (* x 2) 2)
1.0ms	y	@	inf	((/ (- x y) (* (* x 2) y)) (- x y) x y (* (* x 2) y) (* x 2) 2)

rewrite69.0ms (6.2%)

Memory

22.9MiB live, 67.6MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	207
0	68	196
1	275	193
0	2042	191

Stop Event

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

Counts

23 → 72

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(-.f64 x y)
x
y
(.f64 (.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x)))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x 2) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx y #s(hole binary64 y))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))

Outputs
(/.f64 (/.f64 (-.f64 x y) y) (+.f64 x x))
(/.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 y x))
(/.f64 (/.f64 (-.f64 x y) x) (+.f64 y y))
(/.f64 (-.f64 (.f64 (/.f64 x (.f64 (+.f64 x x) y)) (/.f64 x (.f64 (+.f64 x x) y))) (.f64 (/.f64 y (.f64 (+.f64 x x) y)) (/.f64 y (.f64 (+.f64 x x) y)))) (+.f64 (/.f64 x (.f64 (+.f64 x x) y)) (/.f64 y (.f64 (+.f64 x x) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (.f64 (+.f64 x x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (.f64 (+.f64 x x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (.f64 (+.f64 x x) y)) (/.f64 x (.f64 (+.f64 x x) y)) (fma.f64 (/.f64 y (.f64 (+.f64 x x) y)) (/.f64 y (.f64 (+.f64 x x) y)) (.f64 (/.f64 x (.f64 (+.f64 x x) y)) (/.f64 y (*.f64 (+.f64 x x) y))))))
(/.f64 (-.f64 (.f64 x (.f64 (+.f64 x x) y)) (.f64 (.f64 (+.f64 x x) y) y)) (.f64 (.f64 (+.f64 x x) y) (*.f64 (+.f64 x x) y)))
(/.f64 (neg.f64 (/.f64 (-.f64 x y) (+.f64 x x))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (neg.f64 (.f64 #s(literal -2 binary64) (.f64 y x))))
(/.f64 (/.f64 (-.f64 x y) (+.f64 x x)) y)
(/.f64 (/.f64 (-.f64 x y) (*.f64 y x)) #s(literal 2 binary64))
(/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (+.f64 y x) (*.f64 (+.f64 x x) y)))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (*.f64 (+.f64 x x) y)))
(/.f64 (neg.f64 (-.f64 x y)) (.f64 #s(literal -2 binary64) (.f64 y x)))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(neg.f64 (/.f64 (-.f64 x y) (.f64 #s(literal -2 binary64) (.f64 y x))))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (*.f64 (+.f64 x x) y)))
(-.f64 (/.f64 x (.f64 (+.f64 x x) y)) (/.f64 y (.f64 (+.f64 x x) y)))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 (neg.f64 y) x))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 y #s(literal -1 binary64) x)
(-.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (+.f64 y x) (.f64 x x))))
(-.f64 x (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(-.f64 x y)
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 y y) (neg.f64 y)) (fma.f64 y (+.f64 y x) (.f64 x x))))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))
x
y
(*.f64 (+.f64 y y) x)
(.f64 (.f64 y x) #s(literal 2 binary64))
(*.f64 (+.f64 x x) y)
(.f64 #s(literal 2 binary64) (.f64 y x))
(*.f64 y (+.f64 x x))
(*.f64 x (+.f64 y y))
(/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 y x) (.f64 y x))) (-.f64 (.f64 y x) (.f64 y x)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (.f64 y x) (.f64 y x) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 y x) (.f64 y x)))))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 #s(literal 1 binary64) (*.f64 y x)))
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 y x))
(fma.f64 x y (*.f64 y x))
(-.f64 (.f64 y x) (.f64 (neg.f64 x) y))
(+.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (.f64 (.f64 y x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 y x)) (.f64 #s(literal 1 binary64) (.f64 y x)))
(+.f64 (.f64 y x) (.f64 y x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 x x) (*.f64 x x))))
(+.f64 x x)
#s(literal 2 binary64)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
#s(approx (- x y) (neg.f64 y))
#s(approx (- x y) (-.f64 x y))
#s(approx x x)
#s(approx (* (* x 2) y) (*.f64 (+.f64 x x) y))
#s(approx (* x 2) (+.f64 x x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (- x y) (-.f64 x y))
#s(approx y y)
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y)))

eval6.0ms (0.5%)

Memory: 8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 459 to 218 computations (52.5% saved)

prune11.0ms (1%)

Memory

-50.1MiB live, 3.6MiB allocated; 9ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	61	4	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	4	66

Accuracy

100.0%

Counts

66 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
▶	53.6%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	47.6%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
▶	100.0%	#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 45 to 45 computations (0% saved)

series17.0ms (1.5%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

15 → 15

Calls

Call 1

Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) x)
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(/.f64 x y)

Outputs
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (- (* 1/2 (/ x y)) 1/2)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (/ (+ (* -1/2 y) (* 1/2 x)) y)))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	((/ (- x y) (* (* x 2) y)) (- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) 1/2 y (/ 1/2 x) x (/ (- x y) (* (* x 2) y)) (/ -1/2 x) -1/2 (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y))
2.0ms	x	@	-inf	((/ (- x y) (* (* x 2) y)) (- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) 1/2 y (/ 1/2 x) x (/ (- x y) (* (* x 2) y)) (/ -1/2 x) -1/2 (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y))
2.0ms	x	@	inf	((/ (- x y) (* (* x 2) y)) (- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) 1/2 y (/ 1/2 x) x (/ (- x y) (* (* x 2) y)) (/ -1/2 x) -1/2 (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y))
2.0ms	y	@	-inf	((/ (- x y) (* (* x 2) y)) (- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) 1/2 y (/ 1/2 x) x (/ (- x y) (* (* x 2) y)) (/ -1/2 x) -1/2 (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y))
1.0ms	y	@	0	((/ (- x y) (* (* x 2) y)) (- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) 1/2 y (/ 1/2 x) x (/ (- x y) (* (* x 2) y)) (/ -1/2 x) -1/2 (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y))

rewrite66.0ms (5.9%)

Memory

16.2MiB live, 61.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	295
0	69	281
1	262	278
0	1699	277

Stop Event

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

Counts

30 → 133

Calls

Call 1

Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) x)
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(/.f64 x y)
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (- (* 1/2 (/ x y)) 1/2)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (/ (+ (* -1/2 y) (* 1/2 x)) y)))

Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 y y)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (neg.f64 x)) (.f64 (neg.f64 y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 y) x))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (.f64 #s(literal -1/2 binary64) y)) (*.f64 y (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 y y)) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 y y)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y))) (neg.f64 (.f64 y x)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) y) x)
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x y)) (.f64 y x))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 y y)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))))
(-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 y y) y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (.f64 y y)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1/4 binary64) (.f64 y y)))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x)) (/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 y x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 1/2 binary64) y)
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
#s(literal 1/2 binary64)
y
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1/2 binary64) x)
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (neg.f64 x))
(neg.f64 (/.f64 #s(literal 1/2 binary64) x))
#s(literal -1/2 binary64)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x)) (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x)) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x)) (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (fma.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x)) (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x)) (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x)) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x)) (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x)) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (fma.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x (.f64 #s(literal -1/2 binary64) x)) (*.f64 x x))
(/.f64 (fma.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (neg.f64 x) (.f64 #s(literal 1/2 binary64) x)) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) (neg.f64 x)) (.f64 #s(literal -1/2 binary64) x)) (.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 x x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 x y) #s(literal -1/4 binary64)) (.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 (.f64 y y) y)) #s(literal -1/8 binary64)) (.f64 (fma.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 x y) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) #s(literal -1/4 binary64)))) x))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 (.f64 y y) y)) #s(literal 1/8 binary64)) (.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x))
(/.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)
(neg.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x)))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) x) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) x) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x)))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x)) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y))) (-.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 (.f64 y y) y)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 x y) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 (.f64 y y) y)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 x y) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal -1/4 binary64))))))
(/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 x y) #s(literal -1/4 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 (.f64 y y) y)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y y)) (*.f64 (/.f64 x y) #s(literal -1/4 binary64)))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 (.f64 y y) y)) #s(literal -1/8 binary64)) (fma.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 x y) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 (.f64 y y) y)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (/.f64 x y)) #s(literal 1/2 binary64)))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (.f64 (.f64 y y) y)) (fma.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 x y) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) #s(literal -1/4 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 x y) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal -1/4 binary64))))))
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (/ x y) 1/2) -1/2) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
#s(approx (/ x y) (/.f64 x y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx y y)
#s(approx (+ (* (/ x y) 1/2) -1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) y))

eval15.0ms (1.4%)

Memory: -22.5MiB live, 21.6MiB allocated; 7ms collecting garbage
Compiler: Compiled 991 to 462 computations (53.4% saved)

prune4.0ms (0.3%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	125	4	129

Accuracy

100.0%

Counts

129 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.5%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
✓	53.6%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	47.6%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
✓	100.0%	#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))

Compiler

Compiled 83 to 70 computations (15.7% saved)

regimes6.0ms (0.6%)

Memory

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

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))

Calls

3 calls:

2.0ms	y
2.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes4.0ms (0.4%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))

Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))

Outputs

#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))

#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))

Calls

3 calls:

1.0ms	y
1.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
1.0ms	x

Results

Accuracy	Segments	Branch
59.4%	3	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
82.4%	3	`x`
77.0%	3	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes3.0ms (0.3%)

Memory

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

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
47.6%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
47.6%	1	`y`
47.6%	1	`x`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch19.0ms (1.7%)

Memory

-15.0MiB live, 28.9MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2.1008440969690757e-38	1.3394901819394463e-37
11.0ms	-5.661445600163978e-44	-1.4996742874434177e-45

Samples

10.0ms

208×

valid

Compiler

Compiled 272 to 298 computations (-9.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub!: 3.0ms (49.6% of total)

ival-mult!: 2.0ms (33.1% of total)

ival-div!: 1.0ms (16.5% of total)

adjust: 0.0ms (0% of total)

derivations19.0ms (1.7%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 31 to 22 computations (29% saved)

preprocess43.0ms (3.9%)

Memory: -20.0MiB live, 34.8MiB allocated; 10ms collecting garbage
Compiler: Compiled 38 to 29 computations (23.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze23.0ms (2.1%)

sample731.0ms (65.8%)

preprocess66.0ms (5.9%)

series10.0ms (0.9%)

rewrite69.0ms (6.2%)

eval6.0ms (0.5%)

prune11.0ms (1%)

series17.0ms (1.5%)

rewrite66.0ms (5.9%)

eval15.0ms (1.4%)

prune4.0ms (0.3%)

regimes6.0ms (0.6%)

regimes4.0ms (0.4%)

regimes3.0ms (0.3%)

bsearch19.0ms (1.7%)

derivations19.0ms (1.7%)

preprocess43.0ms (3.9%)

end0.0ms (0%)

Profiling