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

analyze48.0ms (2.5%)

Memory

4.5MiB live, 49.5MiB allocated; 9ms 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)

sample1.1s (55.9%)

Memory

35.2MiB live, 1 580.9MiB allocated; 466ms collecting garbage

Samples

781.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 524.0ms

ival-mult: 286.0ms (54.6% of total)

ival-sub: 120.0ms (22.9% of total)

ival-div: 106.0ms (20.2% of total)

exact: 7.0ms (1.3% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain103.0ms (5.4%)

Memory

-10.9MiB live, 230.2MiB allocated; 55ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
66	-	3	(-2.2704569138766978e-142 -5.375020157006985e-175)	`(/.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/u	32	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	32
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	31	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	31

Confusion

	Predicted +	Predicted -
+	63	3
-	0	190

Precision

1.0

Recall

0.9545454545454546

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	63	0	3
-	0	0	190

Precision?

1.0

Recall?

0.9545454545454546

Freqs

test

number	freq
0	193
1	63

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 9.0ms (51.6% of total)

ival-sub: 3.0ms (17.2% of total)

ival-div: 3.0ms (17.2% of total)

ival-true: 1.0ms (5.7% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess138.0ms (7.3%)

Memory

10.9MiB live, 209.2MiB allocated; 15ms 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 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

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

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.0%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

series26.0ms (1.4%)

Memory

-9.5MiB live, 41.7MiB allocated; 6ms 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
14.0ms	y	@	0	((/ (- x y) (* (* x 2) y)) (- x y) x y (* (* x 2) y) (* x 2) 2)
4.0ms	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)
2.0ms	x	@	0	((/ (- x y) (* (* x 2) y)) (- x y) x y (* (* x 2) y) (* x 2) 2)

rewrite75.0ms (3.9%)

Memory

-11.4MiB live, 81.1MiB allocated; 8ms 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 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 y x))
(/.f64 (/.f64 (-.f64 x y) 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 (-.f64 x y) #s(literal 2 binary64)) 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 (.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 (-.f64 x y) #s(literal 2 binary64)) 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 #s(literal 2 binary64) x) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (.f64 (.f64 #s(literal 2 binary64) x) y)))
(/.f64 (neg.f64 (-.f64 x y)) (.f64 #s(literal -2 binary64) (.f64 y x)))
(/.f64 (-.f64 x y) (.f64 (.f64 #s(literal 2 binary64) x) y))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (.f64 (.f64 #s(literal 2 binary64) x) y)))
(neg.f64 (/.f64 (-.f64 x y) (.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 (neg.f64 y) x))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))))
(-.f64 x (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(-.f64 x y)
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 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))) (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 #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 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (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 #s(literal 2 binary64) x) y))
#s(approx (* x 2) (*.f64 #s(literal 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)
#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)))

eval8.0ms (0.4%)

Memory: 19.5MiB live, 19.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 143 to 223 computations (80.5% saved)

prune7.0ms (0.4%)

Memory

-30.8MiB live, 15.5MiB allocated; 3ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	70	5	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	5	76

Accuracy

100.0%

Counts

76 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.0%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
▶	89.3%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
▶	48.2%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	53.3%	#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 140 to 102 computations (27.1% saved)

series14.0ms (0.8%)

Memory

27.8MiB live, 27.8MiB allocated; 0ms collecting garbage

Counts

19 → 42

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))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(-.f64 x y)
(*.f64 (+.f64 x x) y)
(+.f64 x 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 (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 y) (/ 1/2 x)) #s(hole binary64 (/ -1/2 x)))
#s(approx (- (/ 1/2 y) (/ 1/2 x)) #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 (/ -1/2 x) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (+ x x) 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 x) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) 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 (- (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ 1/2 y)))
#s(approx (- (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (- x y) (* (+ x x) 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) 1/2) -1/2) x) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) #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) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#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 (- (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (/ (+ (* -1/2 y) (* 1/2 x)) 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
3.0ms	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 x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y))
3.0ms	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 x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (- 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 x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (- 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 x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (- 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 x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y))

rewrite100.0ms (5.3%)

Memory

12.7MiB live, 106.6MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	667
0	127	633
1	439	583
0	2880	579

Stop Event

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

Counts

61 → 212

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))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(-.f64 x y)
(*.f64 (+.f64 x x) y)
(+.f64 x 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 (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 y) (/ 1/2 x)) #s(hole binary64 (/ -1/2 x)))
#s(approx (- (/ 1/2 y) (/ 1/2 x)) #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 (/ -1/2 x) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (+ x x) 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 x) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) 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 (- (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ 1/2 y)))
#s(approx (- (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (- x y) (* (+ x x) 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) 1/2) -1/2) x) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) #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) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#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 (- (/ 1/2 y) (/ 1/2 x)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(hole binary64 (/ (+ (* -1/2 y) (* 1/2 x)) 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
#s(approx (/ (- x y) (* (+ x x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 (-.f64 x y) (.f64 y x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 y x))))
(.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x y) (.f64 y x)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) x) y)
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))) (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)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))))
(/.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 x) y))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (.f64 #s(literal -1/2 binary64) y)) (*.f64 y (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 #s(literal 1/2 binary64) y)) (.f64 (neg.f64 x) y))
(/.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 x y) (.f64 y x))))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #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 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(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) (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) 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 (pow.f64 x #s(literal -1 binary64))) #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 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (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 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) (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 x) y)) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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 x) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (/.f64 (-.f64 x y) y) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 x y) x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (.f64 (/.f64 y (.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 #s(literal 2 binary64) y)))) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 y (*.f64 #s(literal 2 binary64) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 y (.f64 #s(literal 2 binary64) y)) (/.f64 y (.f64 #s(literal 2 binary64) y)) (.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 y (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (neg.f64 (*.f64 #s(literal -2 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 (.f64 #s(literal 2 binary64) y) y)) (.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) y)))
(/.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 y x))
(/.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) 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 #s(literal 2 binary64) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (-.f64 x y)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) y))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (*.f64 #s(literal 2 binary64) y)))
(neg.f64 (/.f64 (-.f64 x y) (*.f64 #s(literal -2 binary64) y)))
(-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 y (*.f64 #s(literal 2 binary64) 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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))))
(-.f64 x (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(-.f64 x y)
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))
(.f64 (.f64 y x) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) y) x)
(.f64 #s(literal 2 binary64) (.f64 y x))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(.f64 x (.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 y #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 y (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.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 #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 y y)
#s(literal 2 binary64)
#s(approx (/ (- x y) (* (+ x x) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) 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 (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 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) #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 (neg.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)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #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) (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) x) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #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 (/.f64 x y) #s(literal 1/2 binary64)) x))
(-.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #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 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 x y) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #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 x y) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (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 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (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 (/.f64 x (neg.f64 y)) #s(literal 1/2 binary64)))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) #s(literal -1/4 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.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 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64))
(/.f64 x y)
(neg.f64 (/.f64 x (neg.f64 y)))
#s(approx (/ (- x y) (* (+ x x) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (+ x x) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
#s(approx (- (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (- (/ 1/2 y) (/ 1/2 x)) (/.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 (/ -1/2 x) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (+ x x) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (+ x x) 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) y) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ x x) #s(literal 2 binary64))
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) 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 x) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (+ x x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1/2 y) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (- (/ 1/2 y) (/ 1/2 x)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- x y) (* (+ x x) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (+ x x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- x y) x)
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (+ (* (/ x y) 1/2) -1/2) x) (-.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) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y 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 x) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (- (/ 1/2 y) (/ 1/2 x)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (/ 1/2 y) (/.f64 #s(literal 1/2 binary64) y))
#s(approx y y)
#s(approx (/ (- x y) (* (+ x x) 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 (/ (+ (* (/ x y) 1/2) -1/2) x) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (+ (* (/ x y) 1/2) -1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x 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)))

eval26.0ms (1.4%)

Memory: 11.2MiB live, 55.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 627 to 687 computations (85.2% saved)

prune11.0ms (0.6%)

Memory

-21.8MiB live, 22.6MiB allocated; 6ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	233	5	238

Accuracy

100.0%

Counts

238 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.0%	(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
✓	89.3%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
✓	48.2%	#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	53.3%	#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 149 to 79 computations (47% saved)

regimes7.0ms (0.4%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Counts

6 → 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))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 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))

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	x
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)

regimes16.0ms (0.8%)

Memory

-33.5MiB live, 18.9MiB allocated; 19ms collecting garbage

Counts

4 → 5

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

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

Calls

3 calls:

11.0ms	x
2.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
2.0ms	y

Results

Accuracy	Segments	Branch
88.0%	5	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
88.3%	5	`x`
86.6%	5	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.2%)

Memory

12.3MiB live, 12.3MiB 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))

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
75.2%	3	`y`
59.4%	4	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
78.1%	3	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.2%)

Memory

10.2MiB live, 10.2MiB 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	y
1.0ms	x
1.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
53.3%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
53.3%	1	`y`
53.3%	1	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch55.0ms (2.9%)

Memory

3.1MiB live, 93.0MiB allocated; 10ms collecting garbage

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.8055484383006455e+107	1.4241841171284818e+108
12.0ms	2.7156714854669555e-186	3.175774069568021e-185
12.0ms	-2.5859312211627606e-197	-7.764541331967463e-202
18.0ms	-8.031975142451227e+100	-7.232355381985724e+84

Samples

31.0ms

480×

valid

Compiler

Compiled 672 to 552 computations (17.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 7.0ms (41.7% of total)

ival-sub: 6.0ms (35.8% of total)

ival-div: 3.0ms (17.9% 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)

bsearch23.0ms (1.2%)

Memory

-11.4MiB live, 32.4MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.00891622770321179	95545.03423642278
3.0ms	-7.232355381985724e+84	-6.418990098419006e+84

Samples

14.0ms

176×

valid

Compiler

Compiled 298 to 254 computations (14.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sub: 6.0ms (63% of total)

ival-mult: 2.0ms (21% of total)

ival-div: 1.0ms (10.5% 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)

simplify55.0ms (2.9%)

Memory

17.5MiB live, 69.0MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	138
1	56	138
2	103	138
3	207	138
4	534	138
5	4514	138

Stop Event

1×	node limit

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)))
(if (<=.f64 x #s(literal -80000000000000001272231288780793443746886468511562251118250620461982710177363048486507759886854520832 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -4208108721238699/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032 binary64)) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) (if (<=.f64 x #s(literal 1186448301799825/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808 binary64)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 1399999999999999891154225415715423007504935737757814498046030367229121331556894656193354441108767789404913664 binary64)) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 x #s(literal -6500000000000000267643177669150769387174175978045894196588694420863340246695568998400 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 7900 binary64)) #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 #s(literal -1/2 binary64) x))

Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 x #s(literal -80000000000000001272231288780793443746886468511562251118250620461982710177363048486507759886854520832 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal -4208108721238699/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032 binary64)) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) (if (<=.f64 x #s(literal 1186448301799825/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808 binary64)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 1399999999999999891154225415715423007504935737757814498046030367229121331556894656193354441108767789404913664 binary64)) (/.f64 (-.f64 x y) (.f64 (+.f64 x x) y)) #s(approx (/ (- x y) ( (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 x #s(literal -6500000000000000267643177669150769387174175978045894196588694420863340246695568998400 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 x #s(literal 7900 binary64)) #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))))
(if (or (<=.f64 x #s(literal -6500000000000000267643177669150769387174175978045894196588694420863340246695568998400 binary64)) (not (<=.f64 x #s(literal 7900 binary64)))) #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) x))

derivations64.0ms (3.4%)

Memory

-11.2MiB live, 32.3MiB allocated; 26ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 138 to 39 computations (71.7% saved)

preprocess52.0ms (2.8%)

Memory: 13.9MiB live, 57.5MiB allocated; 30ms collecting garbage
Compiler: Compiled 308 to 104 computations (66.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze48.0ms (2.5%)

sample1.1s (55.9%)

explain103.0ms (5.4%)

preprocess138.0ms (7.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series26.0ms (1.4%)

rewrite75.0ms (3.9%)

eval8.0ms (0.4%)

prune7.0ms (0.4%)

series14.0ms (0.8%)

rewrite100.0ms (5.3%)

eval26.0ms (1.4%)

prune11.0ms (0.6%)

regimes7.0ms (0.4%)

regimes16.0ms (0.8%)

regimes4.0ms (0.2%)

regimes3.0ms (0.2%)

bsearch55.0ms (2.9%)

bsearch23.0ms (1.2%)

simplify55.0ms (2.9%)

derivations64.0ms (3.4%)

preprocess52.0ms (2.8%)

end0.0ms (0%)

Profiling