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

start0.0ms (0%)

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

analyze40.0ms (3.5%)

Memory

-15.7MiB live, 51.3MiB allocated; 31ms 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)

sample739.0ms (64.9%)

Memory

30.0MiB live, 1 130.4MiB allocated; 305ms collecting garbage

Samples

510.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

ival-mult!: 155.0ms (69.4% of total)

ival-div!: 41.0ms (18.4% of total)

ival-add!: 26.0ms (11.6% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess79.0ms (7%)

Memory

-24.2MiB live, 61.3MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	60
1	97	54
2	513	42
3	4717	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.4%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Symmetry

(sort x y)

Compiler

Compiled 18 to 14 computations (22.2% saved)

series22.0ms (2%)

Memory

15.1MiB live, 57.4MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	169

Stop Event

1×	iter-limit

Counts

7 → 14

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

Calls

6 calls:

Time	Variable	Point
2.0ms	y	-inf
2.0ms	x	-inf
2.0ms	x	inf
1.0ms	x	0
1.0ms	y	inf

rewrite42.0ms (3.7%)

Memory

17.4MiB live, 62.1MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	48	23
0	419	23

Stop Event

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

Counts

7 → 81

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

eval38.0ms (3.3%)

Memory: -28.4MiB live, 34.5MiB allocated; 53ms collecting garbage
Compiler: Compiled 1 465 to 273 computations (81.4% saved)

prune2.0ms (0.2%)

Memory

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

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	86	4	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	4	91

Accuracy

100.0%

Counts

91 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.7%	(/.f64 (/.f64 (+.f64 y x) (+.f64 x x)) y)
▶	77.4%	(/.f64 (+.f64 y x) (*.f64 (+.f64 x x) y))
▶	52.9%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶	49.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 44 to 32 computations (27.3% saved)

series16.0ms (1.4%)

Memory

-17.7MiB live, 28.8MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	242

Stop Event

1×	iter-limit

Counts

13 → 19

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	x	0
1.0ms	y	-inf
1.0ms	y	inf

rewrite28.0ms (2.4%)

Memory

11.4MiB live, 57.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	71
0	26	71
0	127	71

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

13 → 58

Calls

Call 1

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

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

eval7.0ms (0.6%)

Memory: 22.4MiB live, 22.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 113 to 240 computations (78.4% saved)

prune3.0ms (0.3%)

Memory

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

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	76	4	80

Accuracy

100.0%

Counts

80 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.7%	(/.f64 (/.f64 (+.f64 y x) (+.f64 x x)) y)
✓	77.4%	(/.f64 (+.f64 y x) (*.f64 (+.f64 x x) y))
✓	52.9%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓	49.0%	#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes31.0ms (2.7%)

Memory

-38.2MiB live, 57.6MiB allocated; 14ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

2 → 2

4 → 3

5 → 2

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))

Call 2

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))

Call 3

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

Call 4

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

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

Calls

11 calls:

10.0ms	y
5.0ms	y
2.0ms	x
2.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
2.0ms	y

Results

Accuracy	Segments	Branch
49.0%	1	`y`
49.0%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
49.0%	1	`x`
84.2%	2	`y`
86.3%	2	`x`
89.3%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
91.7%	3	`x`
93.1%	4	`y`
99.4%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
95.6%	2	`x`
97.5%	2	`y`

Compiler

Compiled 88 to 60 computations (31.8% saved)

bsearch10.0ms (0.9%)

Memory

21.5MiB live, 21.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.0004905609935905e+90	3.8006178657003414e+94

Samples

4.0ms

128×

valid

Compiler

Compiled 188 to 156 computations (17% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult!: 1.0ms (50.1% of total)

ival-div!: 1.0ms (50.1% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

bsearch19.0ms (1.7%)

Memory

-12.9MiB live, 31.8MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-1.351506661278342e-225	-2.6475586861077454e-226
7.0ms	-7.775323810803717e+92	-1.2983581959822439e+92

Samples

11.0ms

192×

valid

Compiler

Compiled 276 to 228 computations (17.4% saved)

Precisions

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

ival-mult!: 2.0ms (61.5% of total)

ival-add!: 1.0ms (30.8% of total)

ival-div!: 1.0ms (30.8% of total)

adjust: 0.0ms (0% of total)

bsearch10.0ms (0.9%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-1.2173963925262116e-110	-2.3670265370565867e-114

Samples

4.0ms

128×

valid

Compiler

Compiled 220 to 188 computations (14.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult!: 1.0ms (49.2% of total)

ival-div!: 1.0ms (49.2% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

derivations6.0ms (0.5%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 112 to 30 computations (73.2% saved)

preprocess46.0ms (4%)

Memory: 8.3MiB live, 97.4MiB allocated; 14ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 345 to 165 computations (52.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze40.0ms (3.5%)

sample739.0ms (64.9%)

preprocess79.0ms (7%)

series22.0ms (2%)

rewrite42.0ms (3.7%)

eval38.0ms (3.3%)

prune2.0ms (0.2%)

series16.0ms (1.4%)

rewrite28.0ms (2.4%)

eval7.0ms (0.6%)

prune3.0ms (0.3%)

regimes31.0ms (2.7%)

bsearch10.0ms (0.9%)

bsearch19.0ms (1.7%)

bsearch10.0ms (0.9%)

derivations6.0ms (0.5%)

preprocess46.0ms (4%)

end0.0ms (0%)

Profiling