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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze25.0ms (2.9%)

Memory

-16.7MiB live, 25.5MiB allocated

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)

sample663.0ms (75.3%)

Memory

-21.5MiB live, 987.8MiB allocated

Samples

423.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 227.0ms

ival-mult: 104.0ms (45.7% of total)

ival-div: 55.0ms (24.2% of total)

ival-sub: 54.0ms (23.8% of total)

ival-true: 6.0ms (2.6% of total)

exact: 5.0ms (2.2% of total)

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

Bogosity

explain71.0ms (8.1%)

Memory

25.5MiB live, 100.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
63	-	1	(1.636371115739455e-293 9.709680007152483e-26)	`(/.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	34	0
↳	`(*.f64 x #s(literal 2 binary64))`	overflow	1
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	34
`/.f64`	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	28	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	28

Confusion

	Predicted +	Predicted -
+	62	1
-	0	193

Precision

1.0

Recall

0.9841269841269841

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	62	0	1
-	0	0	193

Precision?

1.0

Recall?

0.9841269841269841

Freqs

test

number	freq
0	194
1	62

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 82 to 32 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 9.0ms (55.3% of total)

ival-sub: 3.0ms (18.4% of total)

ival-div: 3.0ms (18.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess3.0ms (0.3%)

Memory

5.1MiB live, 5.2MiB allocated

Algorithm

1×	egg-herbie

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))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0.1%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.8%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

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 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)

localize27.0ms (3.1%)

Memory

-20.8MiB live, 31.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(.f64 (.f64 x #s(literal 2 binary64)) y)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	14.87846825943678	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

22.0ms

256×

valid

Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sub: 10.0ms (66.6% of total)

ival-mult: 3.0ms (20% of total)

ival-div: 2.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (1.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

4 → 15

Calls

Call 1

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

Outputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(* -1 y)
(- x y)
(* 2 (* x y))
(* 2 x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (/ y x) 1)))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(+ x (* -1 y))
(* y (- (/ x y) 1))
(* -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 2) y) (* x 2))
2.0ms	x	@	-inf	((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))
2.0ms	x	@	inf	((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))
1.0ms	x	@	0	((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))
1.0ms	y	@	inf	((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))

simplify7.0ms (0.8%)

Memory

-35.5MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Counts

15 → 4

Calls

Call 1

Inputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(* -1 y)
(- x y)
(* 2 (* x y))
(* 2 x)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (/ y x) 1)))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(+ x (* -1 y))
(* y (- (/ x y) 1))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

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

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 1.9MiB live, 1.9MiB allocated
Compiler: Compiled 96 to 18 computations (81.3% saved)

prune1.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	7	1	8
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	7	2	9

Accuracy

76.8%

Counts

9 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.8%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	3.0%	#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 x y))

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 x y))

Calls

Call 1

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

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

localize17.0ms (1.9%)

Memory

27.2MiB live, 27.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 x y)
accuracy	62.06979220120758	#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 x y))

Samples

12.0ms

256×

valid

Compiler

Compiled 34 to 18 computations (47.1% saved)

Precisions

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

ival-mult: 3.0ms (46.2% of total)

ival-div: 2.0ms (30.8% of total)

ival-sub: 1.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.2%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

2 → 13

Calls

Call 1

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

Outputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(* -1 y)
(- x y)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (/ y x) 1)))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(+ x (* -1 y))
(* y (- (/ x y) 1))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	((/ (- x y) (* (* x 2) y)) (- x y))
0.0ms	x	@	inf	((/ (- x y) (* (* x 2) y)) (- x y))
0.0ms	y	@	inf	((/ (- x y) (* (* x 2) y)) (- x y))
0.0ms	y	@	-inf	((/ (- x y) (* (* x 2) y)) (- x y))
0.0ms	x	@	0	((/ (- x y) (* (* x 2) y)) (- x y))

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Counts

13 → 2

Calls

Call 1

Inputs
(/ -1/2 x)
(/ (- (* 1/2 (/ x y)) 1/2) x)
(* -1 y)
(- x y)
(/ 1/2 y)
(- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (/ y x) 1)))
(/ (+ 1/2 (* -1/2 (/ y x))) y)
(+ x (* -1 y))
(* y (- (/ x y) 1))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

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

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

eval0.0ms (0.1%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 49 to 10 computations (79.6% saved)

prune8.0ms (0.9%)

Memory

-34.0MiB live, 3.2MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	3	0	3
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	3	2	5

Accuracy

76.8%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.8%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	3.0%	#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 x y))

Compiler

Compiled 44 to 29 computations (34.1% saved)

regimes5.0ms (0.5%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

2 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
76.8%	1	`x`
76.8%	1	`y`
76.8%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.4%)

Memory

10.9MiB live, 10.9MiB allocated

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 x y))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.0%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
3.0%	1	`x`
3.0%	1	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

simplify5.0ms (0.5%)

Memory

12.8MiB live, 12.8MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

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

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

soundness1.0ms (0.1%)

Memory

1.4MiB live, 1.4MiB allocated

Stop Event

1×

done

Compiler

Compiled 22 to 13 computations (40.9% saved)

preprocess30.0ms (3.4%)

Memory: -13.6MiB live, 72.0MiB allocated
Compiler: Compiled 76 to 52 computations (31.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze25.0ms (2.9%)

sample663.0ms (75.3%)

explain71.0ms (8.1%)

preprocess3.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify0.0ms (0%)

localize27.0ms (3.1%)

series9.0ms (1.1%)

simplify7.0ms (0.8%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

simplify0.0ms (0%)

localize17.0ms (1.9%)

series2.0ms (0.2%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval0.0ms (0.1%)

prune8.0ms (0.9%)

regimes5.0ms (0.5%)

regimes4.0ms (0.4%)

simplify5.0ms (0.5%)

soundness1.0ms (0.1%)

preprocess30.0ms (3.4%)

end0.0ms (0%)

Profiling