Metrics for Linear.V3:cross from linear-1.19.1.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample613.0ms (78.7%)

Memory

49.0MiB live, 818.8MiB allocated

Samples

377.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-mult: 126.0ms (72% of total)

ival-sub: 40.0ms (22.9% of total)

ival-true: 6.0ms (3.4% of total)

ival-assert: 4.0ms (2.3% of total)

Bogosity

explain69.0ms (8.8%)

Memory

-31.2MiB live, 105.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(-.f64 (.f64 x y) (.f64 z t))`
0	-	-	`y`
0	-	-	`t`
0	-	-	`(*.f64 z t)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x y) (.f64 z t))`	nan-rescue	1	0
↳	`(*.f64 x y)`	overflow	40
↳	`(*.f64 z t)`	overflow	33

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 8.0ms (74.3% of total)

ival-sub: 2.0ms (18.6% of total)

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

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

preprocess4.0ms (0.5%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(-.f64 (.f64 x y) (.f64 z t))

Outputs
(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 z t)
cost-diff	0	(*.f64 x y)
cost-diff	0	(-.f64 (.f64 x y) (.f64 z t))

Calls

Call 1

Inputs
(-.f64 (.f64 x y) (.f64 z t))
(*.f64 x y)
x
y
(*.f64 z t)
z
t

Outputs
(-.f64 (.f64 x y) (.f64 z t))
(*.f64 x y)
x
y
(*.f64 z t)
z
t

localize18.0ms (2.4%)

Memory

-11.2MiB live, 27.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z t)
accuracy	0.0	(*.f64 x y)
accuracy	0.20312500000000003	(-.f64 (.f64 x y) (.f64 z t))

Samples

14.0ms

256×

valid

Compiler

Compiled 36 to 16 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 4.0ms (81% of total)

ival-sub: 1.0ms (20.2% of total)

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

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

series6.0ms (0.8%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

3 → 13

Calls

Call 1

Inputs
(-.f64 (.f64 x y) (.f64 z t))
(*.f64 x y)
(*.f64 z t)

Outputs
(* -1 (* t z))
(- (* x y) (* t z))
(* x y)
(* x (+ y (* -1 (/ (* t z) x))))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(* y (+ x (* -1 (/ (* t z) y))))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(+ (* -1 (* t z)) (* x y))
(* t z)
(* z (- (/ (* x y) z) t))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(* t (- (/ (* x y) t) z))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	t	@	inf	((- (* x y) (* z t)) (* x y) (* z t))
1.0ms	y	@	inf	((- (* x y) (* z t)) (* x y) (* z t))
1.0ms	x	@	0	((- (* x y) (* z t)) (* x y) (* z t))
1.0ms	z	@	-inf	((- (* x y) (* z t)) (* x y) (* z t))
1.0ms	y	@	-inf	((- (* x y) (* z t)) (* x y) (* z t))

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

13 → 3

Calls

Call 1

Inputs
(* -1 (* t z))
(- (* x y) (* t z))
(* x y)
(* x (+ y (* -1 (/ (* t z) x))))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(* y (+ x (* -1 (/ (* t z) y))))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(+ (* -1 (* t z)) (* x y))
(* t z)
(* z (- (/ (* x y) z) t))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(* t (- (/ (* x y) t) z))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))

Outputs
(* -1 (* t z))
(-.f64 (.f64 x y) (.f64 z t))
(- (* x y) (* t z))
(*.f64 x y)
(* x y)
(*.f64 z t)

rewrite0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(-.f64 (.f64 x y) (.f64 z t))
(*.f64 x y)
(*.f64 z t)

Outputs
(-.f64 (.f64 x y) (.f64 z t))
(*.f64 x y)
(*.f64 z t)

eval1.0ms (0.1%)

Memory: 1.2MiB live, 1.2MiB allocated
Compiler: Compiled 58 to 14 computations (75.9% saved)

prune1.0ms (0.1%)

Memory

1.7MiB live, 1.7MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	2	7

Accuracy

99.6%

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(-.f64 (.f64 x y) (.f64 z t))
▶	54.9%	#s(approx (- (* x y) (* z t)) (*.f64 x y))

Compiler

Compiled 18 to 16 computations (11.1% 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) (* z t)) (*.f64 x y))

Calls

Call 1

Inputs
#s(approx (- (* x y) (* z t)) (*.f64 x y))
(*.f64 x y)
x
y

Outputs
#s(approx (- (* x y) (* z t)) (*.f64 x y))
(*.f64 x y)
x
y

localize18.0ms (2.3%)

Memory

-16.6MiB live, 23.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x y)
accuracy	28.86557968035962	#s(approx (- (* x y) (* z t)) (*.f64 x y))

Samples

14.0ms

256×

valid

Compiler

Compiled 30 to 18 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (61.1% of total)

ival-sub: 1.0ms (20.4% of total)

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

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

series3.0ms (0.4%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

2 → 12

Calls

Call 1

Inputs
#s(approx (- (* x y) (* z t)) (*.f64 x y))
(*.f64 x y)

Outputs
(* -1 (* t z))
(- (* x y) (* t z))
(* x y)
(* x (+ y (* -1 (/ (* t z) x))))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(* y (+ x (* -1 (/ (* t z) y))))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(+ (* -1 (* t z)) (* x y))
(* z (- (/ (* x y) z) t))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(* t (- (/ (* x y) t) z))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	((- (* x y) (* z t)) (* x y))
0.0ms	y	@	-inf	((- (* x y) (* z t)) (* x y))
0.0ms	x	@	0	((- (* x y) (* z t)) (* x y))
0.0ms	z	@	-inf	((- (* x y) (* z t)) (* x y))
0.0ms	x	@	inf	((- (* x y) (* z t)) (* x y))

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Counts

12 → 2

Calls

Call 1

Inputs
(* -1 (* t z))
(- (* x y) (* t z))
(* x y)
(* x (+ y (* -1 (/ (* t z) x))))
(* -1 (* x (+ (* -1 y) (/ (* t z) x))))
(* y (+ x (* -1 (/ (* t z) y))))
(* -1 (* y (+ (* -1 x) (/ (* t z) y))))
(+ (* -1 (* t z)) (* x y))
(* z (- (/ (* x y) z) t))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 t))))
(* t (- (/ (* x y) t) z))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* -1 z))))

Outputs
(* -1 (* t z))
#s(approx (- (* x y) (* z t)) (*.f64 x y))
(- (* x y) (* t z))
(*.f64 x y)

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- (* x y) (* z t)) (*.f64 x y))
(*.f64 x y)

Outputs
#s(approx (- (* x y) (* z t)) (*.f64 x y))
(*.f64 x y)

eval0.0ms (0.1%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 41 to 10 computations (75.6% saved)

prune2.0ms (0.2%)

Memory

3.3MiB live, 3.3MiB 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

99.6%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(-.f64 (.f64 x y) (.f64 z t))
✓	54.9%	#s(approx (- (* x y) (* z t)) (*.f64 x y))

Compiler

Compiled 36 to 27 computations (25% saved)

regimes12.0ms (1.5%)

Memory

-15.8MiB live, 22.6MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (* x y) (* z t)) (*.f64 x y))
(-.f64 (.f64 x y) (.f64 z t))

Outputs
(-.f64 (.f64 x y) (.f64 z t))

Calls

7 calls:

3.0ms	z
1.0ms	y
1.0ms	x
1.0ms	t
1.0ms	(*.f64 z t)

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`t`
99.6%	1	`(-.f64 (.f64 x y) (.f64 z t))`
99.6%	1	`(*.f64 x y)`
99.6%	1	`(*.f64 z t)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes8.0ms (1%)

Memory

18.8MiB live, 18.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* x y) (* z t)) (*.f64 x y))

Outputs
#s(approx (- (* x y) (* z t)) (*.f64 x y))

Calls

7 calls:

1.0ms	t
1.0ms	y
1.0ms	z
1.0ms	x
1.0ms	(-.f64 (.f64 x y) (.f64 z t))

Results

Accuracy	Segments	Branch
54.9%	1	`x`
54.9%	1	`y`
54.9%	1	`z`
54.9%	1	`t`
54.9%	1	`(-.f64 (.f64 x y) (.f64 z t))`
54.9%	1	`(*.f64 x y)`
54.9%	1	`(*.f64 z t)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

simplify4.0ms (0.6%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(-.f64 (.f64 x y) (.f64 z t))
#s(approx (- (* x y) (* z t)) (*.f64 x y))

Outputs
(-.f64 (.f64 x y) (.f64 z t))
#s(approx (- (* x y) (* z t)) (*.f64 x y))

soundness0.0ms (0.1%)

Memory

0.8MiB live, 0.8MiB allocated

Stop Event

1×

done

Compiler

Compiled 18 to 11 computations (38.9% saved)

preprocess17.0ms (2.2%)

Memory: -7.3MiB live, 31.5MiB allocated
Compiler: Compiled 50 to 36 computations (28% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample613.0ms (78.7%)

explain69.0ms (8.8%)

preprocess4.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize18.0ms (2.4%)

series6.0ms (0.8%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

simplify0.0ms (0%)

localize18.0ms (2.3%)

series3.0ms (0.4%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval0.0ms (0.1%)

prune2.0ms (0.2%)

regimes12.0ms (1.5%)

regimes8.0ms (1%)

simplify4.0ms (0.6%)

soundness0.0ms (0.1%)

preprocess17.0ms (2.2%)

end0.0ms (0%)

Profiling