Metrics for Statistics.Sample:robustSumVarWeighted from math-functions-0.1.5.2

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 8 computations (11.1% saved)

sample573.0ms (76.8%)

Memory

13.9MiB live, 722.7MiB allocated

Samples

369.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-mult: 123.0ms (68.8% of total)

ival-add: 46.0ms (25.7% of total)

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

ival-assert: 3.0ms (1.7% of total)

Bogosity

explain66.0ms (8.9%)

Memory

-28.9MiB live, 90.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 (.f64 y z) z)`
-	-	`y`
-	-	`(*.f64 y z)`
-	-	`z`
-	-	`(+.f64 x (.f64 (.f64 y z) z))`
-	-	`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 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (69.3% of total)

ival-add: 2.0ms (19.8% of total)

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

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

preprocess3.0ms (0.4%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0.1%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 x (.f64 (.f64 y z) z))

Compiler

Compiled 7 to 6 computations (14.3% 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 y z)
cost-diff	0	(.f64 (.f64 y z) z)
cost-diff	0	(+.f64 x (.f64 (.f64 y z) z))

Calls

Call 1

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

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

localize16.0ms (2.1%)

Memory

24.8MiB live, 24.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x (.f64 (.f64 y z) z))
accuracy	0.0	(*.f64 y z)
accuracy	0.109375	(.f64 (.f64 y z) z)

Samples

11.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-mult: 3.0ms (61.8% of total)

ival-add: 1.0ms (20.6% of total)

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

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

series9.0ms (1.2%)

Memory

-27.7MiB live, 10.7MiB allocated

Counts

3 → 9

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms	z	@	-inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms	y	@	-inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms	y	@	0	((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms	z	@	inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z))

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Counts

9 → 3

Calls

Call 1

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

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

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 1.4MiB live, 1.4MiB allocated
Compiler: Compiled 60 to 12 computations (80% saved)

prune1.0ms (0.2%)

Memory

2.1MiB live, 2.1MiB 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

99.9%

Counts

7 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(+.f64 x (.f64 (.f64 y z) z))
▶	49.1%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
▶	9.4%	#s(approx (+ x (* (* y z) z)) (*.f64 y z))

Compiler

Compiled 31 to 23 computations (25.8% saved)

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Calls

Call 1

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

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

localize19.0ms (2.6%)

Memory

-12.7MiB live, 29.7MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y z)
accuracy	0.109375	(.f64 (.f64 y z) z)
accuracy	32.55135475014446	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
accuracy	0.0	(*.f64 y z)
accuracy	57.99083073042275	#s(approx (+ x (* (* y z) z)) (*.f64 y z))

Samples

12.0ms

256×

valid

Compiler

Compiled 70 to 18 computations (74.3% saved)

Precisions

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

ival-mult: 3.0ms (60.9% of total)

ival-add: 1.0ms (20.3% of total)

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

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

series4.0ms (0.5%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

4 → 9

Calls

Call 1

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

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

Calls

9 calls:

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

simplify0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Counts

9 → 4

Calls

Call 1

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

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

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 1.3MiB live, 1.3MiB allocated
Compiler: Compiled 101 to 12 computations (88.1% 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	7	0	7
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	7	3	10

Accuracy

99.9%

Counts

10 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(+.f64 x (.f64 (.f64 y z) z))
✓	49.1%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
✓	9.4%	#s(approx (+ x (* (* y z) z)) (*.f64 y z))

Compiler

Compiled 62 to 34 computations (45.2% saved)

regimes9.0ms (1.2%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(+.f64 x (.f64 (.f64 y z) z))
2.0ms	(.f64 (.f64 y z) z)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 x (.f64 (.f64 y z) z))`
99.9%	1	`(.f64 (.f64 y z) z)`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

regimes9.0ms (1.2%)

Memory

-24.2MiB live, 14.3MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	y
1.0ms	z
1.0ms	x
1.0ms	(+.f64 x (.f64 (.f64 y z) z))
1.0ms	(.f64 (.f64 y z) z)

Results

Accuracy	Segments	Branch
49.1%	1	`x`
49.1%	1	`y`
49.1%	1	`z`
49.1%	1	`(+.f64 x (.f64 (.f64 y z) z))`
49.1%	1	`(.f64 (.f64 y z) z)`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

regimes6.0ms (0.8%)

Memory

12.2MiB live, 12.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
9.4%	1	`y`
9.4%	1	`z`
9.4%	1	`(.f64 (.f64 y z) z)`
9.4%	1	`x`
9.4%	1	`(+.f64 x (.f64 (.f64 y z) z))`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

simplify4.0ms (0.6%)

Memory

8.1MiB live, 8.1MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

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

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

soundness1.0ms (0.1%)

Memory

1.0MiB live, 1.0MiB allocated

Stop Event

1×

done

Compiler

Compiled 31 to 11 computations (64.5% saved)

preprocess20.0ms (2.6%)

Memory: -3.9MiB live, 35.0MiB allocated
Compiler: Compiled 76 to 34 computations (55.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample573.0ms (76.8%)

explain66.0ms (8.9%)

preprocess3.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0.1%)

simplify0.0ms (0%)

localize16.0ms (2.1%)

series9.0ms (1.2%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.2%)

simplify0.0ms (0%)

localize19.0ms (2.6%)

series4.0ms (0.5%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune2.0ms (0.3%)

regimes9.0ms (1.2%)

regimes9.0ms (1.2%)

regimes6.0ms (0.8%)

simplify4.0ms (0.6%)

soundness1.0ms (0.1%)

preprocess20.0ms (2.6%)

end0.0ms (0%)

Profiling