Metrics for Data.Random.Distribution.Normal:normalF 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 8 to 7 computations (12.5% saved)

sample592.0ms (79.3%)

Memory

-7.7MiB live, 811.1MiB allocated

Samples

377.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-mult: 117.0ms (60.7% of total)

ival-exp: 68.0ms (35.3% of total)

ival-true: 5.0ms (2.6% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain55.0ms (7.4%)

Memory

9.2MiB live, 91.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(exp.f64 (.f64 (.f64 x y) y))`
-	-	`y`
-	-	`(.f64 (.f64 x y) 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

24.0ms

512×

valid

Compiler

Compiled 58 to 24 computations (58.6% saved)

Precisions

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

ival-mult: 8.0ms (66.3% of total)

ival-exp: 4.0ms (33.2% of total)

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

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

preprocess3.0ms (0.3%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 x y) y))

Outputs
(exp.f64 (.f64 (.f64 x y) y))

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0.1%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% 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 y)
cost-diff	0	(.f64 (.f64 x y) y)
cost-diff	0	(exp.f64 (.f64 (.f64 x y) y))

Calls

Call 1

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

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

localize17.0ms (2.3%)

Memory

-12.5MiB live, 25.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(exp.f64 (.f64 (.f64 x y) y))
accuracy	0.13671875	(.f64 (.f64 x y) y)

Samples

11.0ms

256×

valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

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

ival-mult: 3.0ms (55.6% of total)

ival-exp: 2.0ms (37.1% of total)

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

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

series6.0ms (0.8%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

3 → 9

Calls

Call 1

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

Outputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x (pow y 2))
(* x y)
(exp (* x (pow y 2)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))

Calls

6 calls:

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

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

9 → 3

Calls

Call 1

Inputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x (pow y 2))
(* x y)
(exp (* x (pow y 2)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))

Outputs
1
(exp.f64 (.f64 (.f64 x y) y))
(+ 1 (* x (pow y 2)))
(.f64 (.f64 x y) y)
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(*.f64 x y)

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 1.2MiB live, 1.2MiB allocated
Compiler: Compiled 53 to 11 computations (79.2% saved)

prune1.0ms (0.2%)

Memory

2.5MiB live, 2.5MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	4	3	7

Accuracy

100.0%

Counts

7 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
▶	14.3%	#s(approx (exp (* (* x y) y)) (.f64 (.f64 x y) y))
▶	6.6%	#s(approx (exp (* (* x y) y)) (*.f64 x y))

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Calls

Call 1

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

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

localize19.0ms (2.5%)

Memory

-2.7MiB live, 35.5MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.13671875	(.f64 (.f64 x y) y)
accuracy	54.82694832570333	#s(approx (exp (* (* x y) y)) (.f64 (.f64 x y) y))
accuracy	0.0	(*.f64 x y)
accuracy	59.753391985714444	#s(approx (exp (* (* x y) y)) (*.f64 x y))

Samples

12.0ms

256×

valid

Compiler

Compiled 66 to 16 computations (75.8% saved)

Precisions

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

ival-mult: 3.0ms (55.7% of total)

ival-exp: 2.0ms (37.1% of total)

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

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

series3.0ms (0.5%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

4 → 9

Calls

Call 1

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

Outputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x y)
(* x (pow y 2))
(exp (* x (pow y 2)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))

Calls

6 calls:

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

simplify0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Counts

9 → 4

Calls

Call 1

Inputs
1
(+ 1 (* x (pow y 2)))
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(* x y)
(* x (pow y 2))
(exp (* x (pow y 2)))
(+ 1 (* (pow y 2) (+ x (* 1/2 (* (pow x 2) (pow y 2))))))
(+ 1 (* (pow y 2) (+ x (* (pow y 2) (+ (* 1/6 (* (pow x 3) (pow y 2))) (* 1/2 (pow x 2)))))))

Outputs
1
#s(approx (exp (* (* x y) y)) (*.f64 x y))
(+ 1 (* x (pow y 2)))
(*.f64 x y)
(+ 1 (* x (+ (* 1/2 (* x (pow y 4))) (pow y 2))))
#s(approx (exp (* (* x y) y)) (.f64 (.f64 x y) y))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (pow y 6))) (* 1/2 (pow y 4)))) (pow y 2))))
(.f64 (.f64 x y) y)

rewrite0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 1.8MiB live, 1.8MiB allocated
Compiler: Compiled 92 to 11 computations (88% saved)

prune2.0ms (0.3%)

Memory

5.3MiB live, 5.3MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	7	0	7
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	7	3	10

Accuracy

100.0%

Counts

10 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(exp.f64 (.f64 (.f64 x y) y))
✓	14.3%	#s(approx (exp (* (* x y) y)) (.f64 (.f64 x y) y))
✓	6.6%	#s(approx (exp (* (* x y) y)) (*.f64 x y))

Compiler

Compiled 56 to 30 computations (46.4% saved)

regimes9.0ms (1.2%)

Memory

-25.5MiB live, 16.2MiB allocated

Counts

3 → 1

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (.f64 x y) y))

Calls

4 calls:

3.0ms	(exp.f64 (.f64 (.f64 x y) y))
2.0ms	y
2.0ms	x
2.0ms	(.f64 (.f64 x y) y)

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.8%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	y
1.0ms	x
1.0ms	(.f64 (.f64 x y) y)
1.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
14.3%	1	`x`
14.3%	1	`y`
14.3%	1	`(exp.f64 (.f64 (.f64 x y) y))`
14.3%	1	`(.f64 (.f64 x y) y)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.6%)

Memory

11.9MiB live, 11.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	x
1.0ms	y
1.0ms	(.f64 (.f64 x y) y)
1.0ms	(exp.f64 (.f64 (.f64 x y) y))

Results

Accuracy	Segments	Branch
6.6%	1	`y`
6.6%	1	`x`
6.6%	1	`(.f64 (.f64 x y) y)`
6.6%	1	`(exp.f64 (.f64 (.f64 x y) y))`

Compiler

Compiled 13 to 13 computations (0% saved)

simplify6.0ms (0.8%)

Memory

-27.4MiB live, 11.3MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

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

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

soundness1.0ms (0.1%)

Memory

1.5MiB live, 1.5MiB allocated

Stop Event

1×

done

Compiler

Compiled 28 to 10 computations (64.3% saved)

preprocess19.0ms (2.6%)

Memory: 2.6MiB live, 40.6MiB allocated
Compiler: Compiled 68 to 30 computations (55.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample592.0ms (79.3%)

explain55.0ms (7.4%)

preprocess3.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0.1%)

simplify0.0ms (0%)

localize17.0ms (2.3%)

series6.0ms (0.8%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.2%)

simplify0.0ms (0%)

localize19.0ms (2.5%)

series3.0ms (0.5%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune2.0ms (0.3%)

regimes9.0ms (1.2%)

regimes6.0ms (0.8%)

regimes5.0ms (0.6%)

simplify6.0ms (0.8%)

soundness1.0ms (0.1%)

preprocess19.0ms (2.6%)

end0.0ms (0%)

Profiling