Metrics for Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze12.0ms (1.5%)

Memory

17.1MiB live, 17.1MiB 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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample628.0ms (78.2%)

Memory

18.2MiB live, 1 080.1MiB allocated

Samples

407.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

ival-fabs: 93.0ms (41.1% of total)

ival-sub: 65.0ms (28.7% of total)

ival-div: 59.0ms (26% of total)

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

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

Bogosity

explain68.0ms (8.5%)

Memory

-0.3MiB live, 123.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(fabs.f64 (-.f64 x y))`
-	-	`(fabs.f64 y)`
-	-	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`
-	-	`(-.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

27.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-div: 6.0ms (40.1% of total)

ival-fabs: 5.0ms (33.4% of total)

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

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

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

preprocess6.0ms (0.7%)

Memory

-29.8MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fabs.f64 y)
cost-diff	0	(-.f64 x y)
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
(fabs.f64 y)

Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
(fabs.f64 y)

localize20.0ms (2.5%)

Memory

7.8MiB live, 46.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(fabs.f64 (-.f64 x y))
accuracy	0.0	(fabs.f64 y)
accuracy	0.015625	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Samples

15.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sub: 4.0ms (49.3% of total)

ival-fabs: 3.0ms (37% of total)

ival-div: 2.0ms (24.7% of total)

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

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

series4.0ms (0.5%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

4 → 15

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
(fabs.f64 y)

Outputs
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(fabs y)
(* y (- (/ x y) 1))
(/ (fabs (+ x (* -1 y))) (fabs y))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))
1.0ms	x	@	inf	((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))
1.0ms	y	@	-inf	((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))
1.0ms	x	@	-inf	((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))
1.0ms	x	@	0	((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Counts

15 → 4

Calls

Call 1

Inputs
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(fabs y)
(* y (- (/ x y) 1))
(/ (fabs (+ x (* -1 y))) (fabs y))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Outputs
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(-.f64 x y)
(- x y)
(fabs.f64 y)

rewrite0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
(fabs.f64 y)

Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
(fabs.f64 y)

eval1.0ms (0.1%)

Memory: 1.8MiB live, 1.8MiB allocated
Compiler: Compiled 76 to 19 computations (75% saved)

prune1.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB 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

100.0%

Counts

9 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
▶	52.5%	(/.f64 (fabs.f64 #s(approx (- x y) (fabs.f64 y))) (fabs.f64 y))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Calls

Call 1

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

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

localize22.0ms (2.8%)

Memory

-20.1MiB live, 32.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fabs.f64 #s(approx (- x y) (fabs.f64 y)))
accuracy	0.0	(fabs.f64 y)
accuracy	0.015625	(/.f64 (fabs.f64 #s(approx (- x y) (fabs.f64 y))) (fabs.f64 y))
accuracy	47.81419381306874	#s(approx (- x y) (fabs.f64 y))

Samples

17.0ms

256×

valid

Compiler

Compiled 45 to 15 computations (66.7% saved)

Precisions

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

ival-div: 7.0ms (63% of total)

ival-sub: 2.0ms (18% of total)

ival-fabs: 2.0ms (18% of total)

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

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

series2.0ms (0.2%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

4 → 15

Calls

Call 1

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

Outputs
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(fabs y)
(* y (- (/ x y) 1))
(/ (fabs (+ x (* -1 y))) (fabs y))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Calls

6 calls:

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

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

15 → 4

Calls

Call 1

Inputs
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(fabs y)
(* y (- (/ x y) 1))
(/ (fabs (+ x (* -1 y))) (fabs y))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

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

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 1.5MiB live, 1.5MiB allocated
Compiler: Compiled 97 to 16 computations (83.5% saved)

prune2.0ms (0.3%)

Memory

3.4MiB live, 3.4MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	8	0	8
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	8	2	10

Accuracy

100.0%

Counts

10 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
✓	52.5%	(/.f64 (fabs.f64 #s(approx (- x y) (fabs.f64 y))) (fabs.f64 y))

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes4.0ms (0.5%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.8%)

Memory

-30.2MiB live, 7.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
52.5%	1	`x`
52.5%	1	`y`
52.5%	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify4.0ms (0.5%)

Memory

8.1MiB live, 8.1MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

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

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

soundness0.0ms (0.1%)

Memory

0.8MiB live, 0.8MiB allocated

Stop Event

1×

done

Compiler

Compiled 17 to 10 computations (41.2% saved)

preprocess19.0ms (2.3%)

Memory: -10.5MiB live, 27.0MiB allocated
Compiler: Compiled 48 to 32 computations (33.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze12.0ms (1.5%)

sample628.0ms (78.2%)

explain68.0ms (8.5%)

preprocess6.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize20.0ms (2.5%)

series4.0ms (0.5%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

simplify0.0ms (0%)

localize22.0ms (2.8%)

series2.0ms (0.2%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune2.0ms (0.3%)

regimes4.0ms (0.5%)

regimes6.0ms (0.8%)

simplify4.0ms (0.5%)

soundness0.0ms (0.1%)

preprocess19.0ms (2.3%)

end0.0ms (0%)

Profiling