Metrics for Data.Random.Distribution.Normal:normalTail from random-fu-0.2.6.2

start0.0ms (0%)

Memory: 0.1MiB 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%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample556.0ms (74%)

Memory

50.3MiB live, 783.8MiB allocated

Samples

338.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-add: 81.0ms (48.3% of total)

ival-mult: 78.0ms (46.5% of total)

ival-true: 6.0ms (3.6% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain72.0ms (9.6%)

Memory

-27.5MiB live, 91.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (*.f64 x x) y)`
-	-	`(+.f64 (+.f64 (*.f64 x x) y) y)`
-	-	`y`
-	-	`(*.f64 x x)`
-	-	`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

26.0ms

512×

valid

Compiler

Compiled 62 to 24 computations (61.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 4.0ms (43.9% of total)

ival-mult: 4.0ms (43.9% of total)

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

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

preprocess3.0ms (0.3%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)

Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 (*.f64 x x) y)
(*.f64 x x)
x
y

Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 (*.f64 x x) y)
(*.f64 x x)
x
y

localize14.0ms (1.9%)

Memory

20.3MiB live, 20.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (+.f64 (*.f64 x x) y) y)
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (*.f64 x x) y)

Samples

10.0ms

256×

valid

Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 2.0ms (46.4% of total)

ival-mult: 2.0ms (46.4% of total)

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

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

series3.0ms (0.4%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

3 → 11

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 (*.f64 x x) y)
(*.f64 x x)

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((+ (+ (* x x) y) y) (+ (* x x) y) (* x x))
1.0ms	y	@	-inf	((+ (+ (* x x) y) y) (+ (* x x) y) (* x x))
1.0ms	x	@	0	((+ (+ (* x x) y) y) (+ (* x x) y) (* x x))
0.0ms	x	@	-inf	((+ (+ (* x x) y) y) (+ (* x x) y) (* x x))
0.0ms	y	@	0	((+ (+ (* x x) y) y) (+ (* x x) y) (* x x))

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

11 → 3

Calls

Call 1

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

Outputs
(* 2 y)
(+.f64 (+.f64 (*.f64 x x) y) y)
(+ (* 2 y) (pow x 2))
(+.f64 (*.f64 x x) y)
y
(*.f64 x x)

rewrite0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 (*.f64 x x) y)
(*.f64 x x)

Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 (*.f64 x x) y)
(*.f64 x x)

eval5.0ms (0.6%)

Memory: -36.3MiB live, 1.2MiB allocated
Compiler: Compiled 60 to 12 computations (80% saved)

prune1.0ms (0.1%)

Memory

1.7MiB live, 1.6MiB 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

100.0%

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
▶	59.2%	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)

Compiler

Compiled 18 to 12 computations (33.3% 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 x x)
cost-diff	0	#s(approx (+ (* x x) y) (*.f64 x x))
cost-diff	0	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)

Calls

Call 1

Inputs
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
#s(approx (+ (* x x) y) (*.f64 x x))
(*.f64 x x)
x
y

Outputs
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
#s(approx (+ (* x x) y) (*.f64 x x))
(*.f64 x x)
x
y

localize14.0ms (1.9%)

Memory

20.5MiB live, 20.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
accuracy	0.0	(*.f64 x x)
accuracy	30.933073888486415	#s(approx (+ (* x x) y) (*.f64 x x))

Samples

10.0ms

256×

valid

Compiler

Compiled 44 to 14 computations (68.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 2.0ms (46.6% of total)

ival-mult: 2.0ms (46.6% of total)

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

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

series2.0ms (0.3%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

3 → 11

Calls

Call 1

Inputs
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
#s(approx (+ (* x x) y) (*.f64 x x))
(*.f64 x x)

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

Calls

6 calls:

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

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

11 → 3

Calls

Call 1

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

Outputs
(* 2 y)
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
(+ (* 2 y) (pow x 2))
#s(approx (+ (* x x) y) (*.f64 x x))
y
(*.f64 x x)

rewrite0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
#s(approx (+ (* x x) y) (*.f64 x x))
(*.f64 x x)

Outputs
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
#s(approx (+ (* x x) y) (*.f64 x x))
(*.f64 x x)

eval1.0ms (0.1%)

Memory: 1.0MiB live, 1.0MiB allocated
Compiler: Compiled 69 to 10 computations (85.5% saved)

prune1.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	4	3	7

Accuracy

100.0%

Counts

7 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
✓	59.2%	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
▶	51.7%	#s(approx (+ (+ (* x x) y) y) #s(approx (+ (* x x) y) (*.f64 x x)))

Compiler

Compiled 35 to 20 computations (42.9% saved)

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) #s(approx (+ (* x x) y) (*.f64 x x)))
#s(approx (+ (* x x) y) (*.f64 x x))
(*.f64 x x)
x

Outputs
#s(approx (+ (+ (* x x) y) y) #s(approx (+ (* x x) y) (*.f64 x x)))
#s(approx (+ (* x x) y) (*.f64 x x))
(*.f64 x x)
x

localize21.0ms (2.8%)

Memory

-32.3MiB live, 19.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	26.08538278546656	#s(approx (+ (+ (* x x) y) y) #s(approx (+ (* x x) y) (*.f64 x x)))
accuracy	30.933073888486415	#s(approx (+ (* x x) y) (*.f64 x x))

Samples

17.0ms

256×

valid

Compiler

Compiled 48 to 15 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 10.0ms (85.2% of total)

ival-mult: 2.0ms (17% of total)

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

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

series2.0ms (0.3%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

3 → 11

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) #s(approx (+ (* x x) y) (*.f64 x x)))
#s(approx (+ (* x x) y) (*.f64 x x))
(*.f64 x x)

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

Calls

6 calls:

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

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

11 → 3

Calls

Call 1

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

Outputs
(* 2 y)
#s(approx (+ (+ (* x x) y) y) #s(approx (+ (* x x) y) (*.f64 x x)))
(+ (* 2 y) (pow x 2))
#s(approx (+ (* x x) y) (*.f64 x x))
y
(*.f64 x x)

rewrite0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) #s(approx (+ (* x x) y) (*.f64 x x)))
#s(approx (+ (* x x) y) (*.f64 x x))
(*.f64 x x)

Outputs
#s(approx (+ (+ (* x x) y) y) #s(approx (+ (* x x) y) (*.f64 x x)))
#s(approx (+ (* x x) y) (*.f64 x x))
(*.f64 x x)

eval0.0ms (0.1%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 76 to 9 computations (88.2% saved)

prune2.0ms (0.3%)

Memory

3.7MiB live, 3.7MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	4	3	7

Accuracy

100.0%

Counts

7 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
✓	59.2%	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
✓	51.7%	#s(approx (+ (+ (* x x) y) y) #s(approx (+ (* x x) y) (*.f64 x x)))

Compiler

Compiled 70 to 31 computations (55.7% saved)

regimes7.0ms (0.9%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) #s(approx (+ (* x x) y) (*.f64 x x)))
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
(+.f64 (+.f64 (*.f64 x x) y) y)

Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)

Calls

4 calls:

2.0ms	x
2.0ms	y
2.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes9.0ms (1.1%)

Memory

-26.0MiB live, 12.0MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) #s(approx (+ (* x x) y) (*.f64 x x)))
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)

Outputs
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)

Calls

4 calls:

4.0ms	y
2.0ms	x
1.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
59.2%	1	`x`
59.2%	1	`y`
59.2%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
59.2%	1	`(*.f64 x x)`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes5.0ms (0.6%)

Memory

10.2MiB live, 10.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) #s(approx (+ (* x x) y) (*.f64 x x)))

Outputs
#s(approx (+ (+ (* x x) y) y) #s(approx (+ (* x x) y) (*.f64 x x)))

Calls

4 calls:

1.0ms	x
1.0ms	y
1.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
51.7%	1	`x`
51.7%	1	`y`
51.7%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
51.7%	1	`(*.f64 x x)`

Compiler

Compiled 12 to 12 computations (0% saved)

simplify4.0ms (0.6%)

Memory

8.3MiB live, 8.3MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
#s(approx (+ (+ (* x x) y) y) #s(approx (+ (* x x) y) (*.f64 x x)))

Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
#s(approx (+ (+ (* x x) y) y) #s(approx (+ (* x x) y) (*.f64 x x)))

soundness1.0ms (0.1%)

Memory

1.2MiB live, 1.2MiB allocated

Stop Event

1×

done

Compiler

Compiled 35 to 11 computations (68.6% saved)

preprocess26.0ms (3.5%)

Memory: 11.9MiB live, 49.8MiB allocated
Compiler: Compiled 98 to 42 computations (57.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample556.0ms (74%)

explain72.0ms (9.6%)

preprocess3.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize14.0ms (1.9%)

series3.0ms (0.4%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval5.0ms (0.6%)

prune1.0ms (0.1%)

simplify0.0ms (0%)

localize14.0ms (1.9%)

series2.0ms (0.3%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

simplify0.0ms (0%)

localize21.0ms (2.8%)

series2.0ms (0.3%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval0.0ms (0.1%)

prune2.0ms (0.3%)

regimes7.0ms (0.9%)

regimes9.0ms (1.1%)

regimes5.0ms (0.6%)

simplify4.0ms (0.6%)

soundness1.0ms (0.1%)

preprocess26.0ms (3.5%)

end0.0ms (0%)

Profiling