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 (1.2%)

Memory

32.9MiB live, 32.9MiB allocated; 0ms 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)

sample775.0ms (41.7%)

Memory

34.5MiB live, 768.5MiB allocated; 186ms collecting garbage

Samples

472.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 234.0ms

ival-mult: 103.0ms (44% of total)

ival-sub: 66.0ms (28.2% of total)

ival-div: 55.0ms (23.5% of total)

exact: 5.0ms (2.1% of total)

adjust: 3.0ms (1.3% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain79.0ms (4.2%)

Memory

-29.9MiB live, 104.2MiB allocated; 22ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
74	-	3	(3.4254979158633395e-211 -2.849920818381747e-110)	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	46	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	46
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	25	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	25

Confusion

	Predicted +	Predicted -
+	71	3
-	0	182

Precision

1.0

Recall

0.9594594594594594

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	71	0	3
-	0	0	182

Precision?

1.0

Recall?

0.9594594594594594

Freqs

test

number	freq
0	185
1	71

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (51.3% of total)

ival-sub: 3.0ms (22% of total)

ival-div: 3.0ms (22% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess181.0ms (9.8%)

Memory

10.7MiB live, 150.3MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	70	58
2	251	42
3	927	42
4	2529	42
5	7871	42
0	7	9
0	11	9
1	22	9
2	58	7
3	155	7
4	426	7
5	3245	7
0	8277	7

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.1%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

series11.0ms (0.6%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Counts

7 → 17

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))
#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	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)
2.0ms	x	@	inf	((/ (- x y) (* (* x 2) y)) (- x y) x y (* (* x 2) y) (* x 2) 2)
2.0ms	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)

rewrite70.0ms (3.8%)

Memory

6.1MiB live, 52.6MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	212
0	69	201
1	276	198
0	2060	196

Stop Event

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

Counts

24 → 73

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

eval7.0ms (0.4%)

Memory: 12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 241 to 231 computations (81.4% saved)

prune51.0ms (2.7%)

Memory

-32.1MiB live, 29.0MiB allocated; 44ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	71	4	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	4	76

Accuracy

100.0%

Counts

76 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.9%	(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) y x) x) (*.f64 #s(literal 2 binary64) y))
▶	100.0%	#s(approx (/ (- x y) (* (* x 2) y)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))))
▶	86.6%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64)) x))
▶	91.0%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (*.f64 y (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))) y))

Compiler

Compiled 74 to 55 computations (25.7% saved)

series27.0ms (1.4%)

Memory

-21.9MiB live, 25.1MiB allocated; 6ms collecting garbage

Counts

27 → 66

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	((/ (- x y) (* (* x 2) y)) (/ (* 1/2 (+ (* (* (* y (pow x -1)) -1) 1) 1)) y) (* 1/2 (+ (* (* (* y (pow x -1)) -1) 1) 1)) 1/2 (+ (* (* (* y (pow x -1)) -1) 1) 1) (* (* y (pow x -1)) -1) (* y (pow x -1)) y (pow x -1) x -1 1 (/ (- x y) (* (* x 2) y)) (/ (+ (* (* (/ x y) 1/2) 1) -1/2) x) (+ (* (* (/ x y) 1/2) 1) -1/2) (* (/ x y) 1/2) (/ x y) -1/2 (/ (- x y) (* (* x 2) y)) (+ (* (pow x -1) -1/2) (* (pow y -1) 1/2)) (* (pow y -1) 1/2) (pow y -1) (/ (/ (+ (* -1 y) x) x) (* 2 y)) (/ (+ (* -1 y) x) x) (+ (* -1 y) x) (* 2 y) 2)
5.0ms	y	@	inf	((/ (- x y) (* (* x 2) y)) (/ (* 1/2 (+ (* (* (* y (pow x -1)) -1) 1) 1)) y) (* 1/2 (+ (* (* (* y (pow x -1)) -1) 1) 1)) 1/2 (+ (* (* (* y (pow x -1)) -1) 1) 1) (* (* y (pow x -1)) -1) (* y (pow x -1)) y (pow x -1) x -1 1 (/ (- x y) (* (* x 2) y)) (/ (+ (* (* (/ x y) 1/2) 1) -1/2) x) (+ (* (* (/ x y) 1/2) 1) -1/2) (* (/ x y) 1/2) (/ x y) -1/2 (/ (- x y) (* (* x 2) y)) (+ (* (pow x -1) -1/2) (* (pow y -1) 1/2)) (* (pow y -1) 1/2) (pow y -1) (/ (/ (+ (* -1 y) x) x) (* 2 y)) (/ (+ (* -1 y) x) x) (+ (* -1 y) x) (* 2 y) 2)
4.0ms	y	@	-inf	((/ (- x y) (* (* x 2) y)) (/ (* 1/2 (+ (* (* (* y (pow x -1)) -1) 1) 1)) y) (* 1/2 (+ (* (* (* y (pow x -1)) -1) 1) 1)) 1/2 (+ (* (* (* y (pow x -1)) -1) 1) 1) (* (* y (pow x -1)) -1) (* y (pow x -1)) y (pow x -1) x -1 1 (/ (- x y) (* (* x 2) y)) (/ (+ (* (* (/ x y) 1/2) 1) -1/2) x) (+ (* (* (/ x y) 1/2) 1) -1/2) (* (/ x y) 1/2) (/ x y) -1/2 (/ (- x y) (* (* x 2) y)) (+ (* (pow x -1) -1/2) (* (pow y -1) 1/2)) (* (pow y -1) 1/2) (pow y -1) (/ (/ (+ (* -1 y) x) x) (* 2 y)) (/ (+ (* -1 y) x) x) (+ (* -1 y) x) (* 2 y) 2)
4.0ms	x	@	-inf	((/ (- x y) (* (* x 2) y)) (/ (* 1/2 (+ (* (* (* y (pow x -1)) -1) 1) 1)) y) (* 1/2 (+ (* (* (* y (pow x -1)) -1) 1) 1)) 1/2 (+ (* (* (* y (pow x -1)) -1) 1) 1) (* (* y (pow x -1)) -1) (* y (pow x -1)) y (pow x -1) x -1 1 (/ (- x y) (* (* x 2) y)) (/ (+ (* (* (/ x y) 1/2) 1) -1/2) x) (+ (* (* (/ x y) 1/2) 1) -1/2) (* (/ x y) 1/2) (/ x y) -1/2 (/ (- x y) (* (* x 2) y)) (+ (* (pow x -1) -1/2) (* (pow y -1) 1/2)) (* (pow y -1) 1/2) (pow y -1) (/ (/ (+ (* -1 y) x) x) (* 2 y)) (/ (+ (* -1 y) x) x) (+ (* -1 y) x) (* 2 y) 2)
3.0ms	x	@	0	((/ (- x y) (* (* x 2) y)) (/ (* 1/2 (+ (* (* (* y (pow x -1)) -1) 1) 1)) y) (* 1/2 (+ (* (* (* y (pow x -1)) -1) 1) 1)) 1/2 (+ (* (* (* y (pow x -1)) -1) 1) 1) (* (* y (pow x -1)) -1) (* y (pow x -1)) y (pow x -1) x -1 1 (/ (- x y) (* (* x 2) y)) (/ (+ (* (* (/ x y) 1/2) 1) -1/2) x) (+ (* (* (/ x y) 1/2) 1) -1/2) (* (/ x y) 1/2) (/ x y) -1/2 (/ (- x y) (* (* x 2) y)) (+ (* (pow x -1) -1/2) (* (pow y -1) 1/2)) (* (pow y -1) 1/2) (pow y -1) (/ (/ (+ (* -1 y) x) x) (* 2 y)) (/ (+ (* -1 y) x) x) (+ (* -1 y) x) (* 2 y) 2)

rewrite142.0ms (7.7%)

Memory

18.7MiB live, 159.8MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	1230
0	195	1130
1	616	988
0	4198	933

Stop Event

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

Counts

93 → 549

Calls

Call 1

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

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

eval59.0ms (3.2%)

Memory: 14.1MiB live, 106.8MiB allocated; 12ms collecting garbage
Compiler: Compiled 13 247 to 1 815 computations (86.3% saved)

prune304.0ms (16.3%)

Memory

-26.5MiB live, 262.7MiB allocated; 25ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	477	0	477
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	477	4	481

Accuracy

100.0%

Counts

481 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.9%	(/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) y x) x) (*.f64 #s(literal 2 binary64) y))
✓	100.0%	#s(approx (/ (- x y) (* (* x 2) y)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))))
✓	86.6%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64)) x))
✓	91.0%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (*.f64 y (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))) y))

Compiler

Compiled 157 to 91 computations (42% saved)

regimes7.0ms (0.4%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

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 11 to 11 computations (0% saved)

regimes4.0ms (0.2%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
91.0%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
99.9%	3	`x`
99.9%	3	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes2.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB 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 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))) y))

Outputs

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

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
91.0%	1	`x`
91.0%	1	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

bsearch14.0ms (0.7%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
10.0ms	1.1429878739344256e-49	1.9447501743400282e-47
2.0ms	-1.0744578550661919e+43	-1.1178584505417965e+37

Samples

6.0ms

128×

valid

Compiler

Compiled 364 to 284 computations (22% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (30.6% of total)

ival-div: 1.0ms (30.6% of total)

ival-mult: 1.0ms (30.6% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify47.0ms (2.5%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	97
1	48	97
2	85	97
3	202	97
4	912	97
5	5838	97

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal -10000000000000000139372116959414099130712064 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64)) x)) (if (<=.f64 y #s(literal 7816146647275729/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64)) x))))

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

Outputs

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

(if (<=.f64 y #s(literal -10000000000000000139372116959414099130712064 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64)) x)) (if (<=.f64 y #s(literal 7816146647275729/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64)) x))))

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

derivations30.0ms (1.6%)

Memory

-27.7MiB live, 17.2MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 116 to 33 computations (71.6% saved)

preprocess25.0ms (1.3%)

Memory: 35.6MiB live, 35.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 250 to 80 computations (68% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze23.0ms (1.2%)

sample775.0ms (41.7%)

explain79.0ms (4.2%)

preprocess181.0ms (9.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series11.0ms (0.6%)

rewrite70.0ms (3.8%)

eval7.0ms (0.4%)

prune51.0ms (2.7%)

series27.0ms (1.4%)

rewrite142.0ms (7.7%)

eval59.0ms (3.2%)

prune304.0ms (16.3%)

regimes7.0ms (0.4%)

regimes4.0ms (0.2%)

regimes2.0ms (0.1%)

bsearch14.0ms (0.7%)

simplify47.0ms (2.5%)

derivations30.0ms (1.6%)

preprocess25.0ms (1.3%)

end0.0ms (0%)

Profiling