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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample552.0ms (74.6%)

Memory

39.8MiB live, 744.2MiB allocated

Samples

338.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-add: 84.0ms (52.7% of total)

ival-mult: 65.0ms (40.8% of total)

ival-true: 6.0ms (3.8% of total)

ival-assert: 4.0ms (2.5% of total)

Bogosity

explain74.0ms (9.9%)

Memory

-33.4MiB live, 124.8MiB 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

24.0ms

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: 5.0ms (53.5% of total)

ival-mult: 4.0ms (42.8% of total)

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

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

preprocess3.0ms (0.4%)

Memory

5.6MiB live, 5.6MiB 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

0.8MiB live, 0.8MiB 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

0.6MiB 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	(+.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

localize15.0ms (2%)

Memory

24.4MiB live, 24.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (*.f64 x x) y)
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (+.f64 (*.f64 x x) y) 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 (44.9% of total)

ival-mult: 2.0ms (44.9% of total)

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

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

series3.0ms (0.4%)

Memory

5.0MiB live, 5.0MiB 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	@	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 (+.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)

eval2.0ms (0.2%)

Memory: -37.2MiB live, 1.2MiB allocated
Compiler: Compiled 60 to 12 computations (80% saved)

prune1.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB 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)
▶	58.6%	(+.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

localize15.0ms (2%)

Memory

24.6MiB live, 24.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
accuracy	31.304432592180255	#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 (44.7% of total)

ival-mult: 2.0ms (44.7% of total)

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

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

series2.0ms (0.3%)

Memory

3.4MiB live, 3.4MiB 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: 1.1MiB live, 1.1MiB allocated
Compiler: Compiled 69 to 10 computations (85.5% saved)

prune1.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB 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)
✓	58.6%	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
▶	51.1%	#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

0.6MiB 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	#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

localize16.0ms (2.1%)

Memory

-14.5MiB live, 23.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	26.481257974582974	#s(approx (+ (+ (* x x) y) y) #s(approx (+ (* x x) y) (*.f64 x x)))
accuracy	31.304432592180255	#s(approx (+ (* x x) y) (*.f64 x x))

Samples

12.0ms

256×

valid

Compiler

Compiled 48 to 15 computations (68.8% saved)

Precisions

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

ival-mult: 4.0ms (64.7% of total)

ival-add: 2.0ms (32.3% of total)

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

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

series2.0ms (0.3%)

Memory

3.8MiB live, 3.8MiB 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: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 76 to 9 computations (88.2% saved)

prune2.0ms (0.3%)

Memory

4.1MiB live, 4.1MiB 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)
✓	58.6%	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
✓	51.1%	#s(approx (+ (+ (* x x) y) y) #s(approx (+ (* x x) y) (*.f64 x x)))

Compiler

Compiled 70 to 31 computations (55.7% saved)

regimes9.0ms (1.2%)

Memory

-24.5MiB live, 13.7MiB 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:

3.0ms	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)

regimes6.0ms (0.7%)

Memory

12.9MiB live, 12.9MiB 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:

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

Results

Accuracy	Segments	Branch
58.6%	1	`x`
58.6%	1	`y`
58.6%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
58.6%	1	`(*.f64 x x)`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes4.0ms (0.6%)

Memory

12.0MiB live, 12.0MiB 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	y
1.0ms	x
1.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
51.1%	1	`x`
51.1%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
51.1%	1	`(*.f64 x x)`
51.1%	1	`y`

Compiler

Compiled 12 to 12 computations (0% saved)

simplify4.0ms (0.6%)

Memory

11.0MiB live, 11.0MiB 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)))

soundness3.0ms (0.3%)

Memory

-40.1MiB live, 1.7MiB allocated

Stop Event

1×

done

Compiler

Compiled 35 to 11 computations (68.6% saved)

preprocess24.0ms (3.2%)

Memory: 17.4MiB live, 56.1MiB 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%)

sample552.0ms (74.6%)

explain74.0ms (9.9%)

preprocess3.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize15.0ms (2%)

series3.0ms (0.4%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval2.0ms (0.2%)

prune1.0ms (0.1%)

simplify0.0ms (0%)

localize15.0ms (2%)

series2.0ms (0.3%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

simplify0.0ms (0%)

localize16.0ms (2.1%)

series2.0ms (0.3%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval0.0ms (0.1%)

prune2.0ms (0.3%)

regimes9.0ms (1.2%)

regimes6.0ms (0.7%)

regimes4.0ms (0.6%)

simplify4.0ms (0.6%)

soundness3.0ms (0.3%)

preprocess24.0ms (3.2%)

end0.0ms (0%)

Profiling