Metrics for Data.HyperLogLog.Config:hll from hyperloglog-0.3.4

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

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 7 to 6 computations (14.3% saved)

sample734.0ms (52.9%)

Memory

33.9MiB live, 644.3MiB allocated; 96ms collecting garbage

Samples

485.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 198.0ms

ival-mult: 187.0ms (94.2% of total)

ival-true: 6.0ms (3% of total)

ival-assert: 3.0ms (1.5% of total)

adjust: 2.0ms (1% of total)

Bogosity

explain83.0ms (6%)

Memory

-26.9MiB live, 74.0MiB allocated; 60ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`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

61.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 50.0ms (98.8% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess25.0ms (1.8%)

Memory

-7.7MiB live, 41.5MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	40	32
2	82	32
3	137	32
4	214	32
5	275	32
0	4	5
0	6	5
1	10	5
2	15	5
3	36	5
4	72	5
5	104	5
6	126	5
7	140	5
0	140	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 x y) y)

Compiler

Compiled 5 to 4 computations (20% saved)

simplify6.0ms (0.4%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	10	10
2	15	10
3	36	10
4	72	10
5	104	10
6	126	10
7	140	10
0	140	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize12.0ms (0.9%)

Memory

21.4MiB live, 21.4MiB allocated; 0ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x y)
accuracy	0.1171875	(.f64 (.f64 x y) y)

Samples

8.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 3.0ms (91% of total)

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

adjust: 0.0ms (0% of total)

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

series5.0ms (0.4%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

Outputs
#s(approx (* (* x y) y) #s(hole binary64 (* x (pow y 2))))
#s(approx (* x y) #s(hole binary64 (* x y)))

Calls

6 calls:

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

simplify158.0ms (11.4%)

Memory

8.4MiB live, 100.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	16	18
2	25	18
3	51	18
4	107	18
5	217	18
6	726	18
7	5259	18
0	8529	18

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (* (* x y) y) #s(hole binary64 (* x (pow y 2))))
#s(approx (* x y) #s(hole binary64 (* x y)))

Outputs
#s(approx (* (* x y) y) #s(hole binary64 (* x (pow y 2))))
#s(approx (* (* x y) y) (.f64 (.f64 y x) y))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (* x y) (*.f64 y x))

rewrite49.0ms (3.5%)

Memory

-36.8MiB live, 60.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	10	8
2	17	8
3	48	8
0	169	8

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

2 → 11

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 84 to 24 computations (71.4% saved)

prune1.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	2	14

Accuracy

99.9%

Counts

14 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.2%	(.f64 (.f64 y y) x)
✓	99.8%	(.f64 (.f64 x y) y)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify6.0ms (0.4%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	13	10
2	37	10
3	73	10
4	105	10
5	127	10
6	138	10
0	138	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (2.2%)

Memory

-21.4MiB live, 24.8MiB allocated; 6ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 y y)
accuracy	6.26690522150259	(.f64 (.f64 y y) x)

Samples

8.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 3.0ms (91.9% of total)

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

adjust: 0.0ms (0% of total)

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

series3.0ms (0.2%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

Outputs
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))

Calls

6 calls:

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

simplify173.0ms (12.4%)

Memory

24.0MiB live, 165.7MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	20	18
2	49	18
3	90	18
4	141	18
5	242	18
6	740	18
7	5262	18
0	8532	18

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))

Outputs
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2))))
#s(approx (* (* y y) x) (.f64 (.f64 y y) x))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* y y) (*.f64 y y))

rewrite28.0ms (2.1%)

Memory

12.7MiB live, 57.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	15	8
2	49	8
0	174	8

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

2 → 24

Calls

Call 1

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

Outputs
(.f64 (.f64 (neg.f64 y) x) (neg.f64 y))
(.f64 (.f64 y y) x)
(.f64 (.f64 x y) y)
(.f64 (neg.f64 y) (.f64 (neg.f64 y) x))
(.f64 x (.f64 y y))
(.f64 y (.f64 x y))
(neg.f64 (.f64 (.f64 (neg.f64 y) x) y))
(neg.f64 (.f64 y (.f64 (neg.f64 y) x)))
(neg.f64 (.f64 (.f64 y y) x))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (neg.f64 y) y)
(*.f64 y (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 y y))
(sqrt.f64 (.f64 (.f64 y y) (*.f64 y y)))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))

eval2.0ms (0.2%)

Memory: 6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 182 to 60 computations (67% saved)

prune4.0ms (0.3%)

Memory

-39.8MiB live, 7.2MiB allocated; 2ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	26	2	28

Accuracy

99.9%

Counts

28 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.2%	(.f64 (.f64 y y) x)
✓	99.8%	(.f64 (.f64 x y) y)

Compiler

Compiled 20 to 14 computations (30% saved)

regimes4.0ms (0.3%)

Memory

12.4MiB live, 12.3MiB allocated; 0ms collecting garbage

Accuracy

Total -6.2b remaining (-5304.4%)

Threshold costs -6.2b (-5304.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`(.f64 (.f64 x y) y)`
99.8%	1	`x`
99.8%	1	`y`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

simplify8.0ms (0.6%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5

Stop Event

1×

saturated

Calls

Call 1

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

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

derivations0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 5 to 4 computations (20% saved)

preprocess53.0ms (3.8%)

Memory

-26.2MiB live, 70.3MiB allocated; 12ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 60 to 48 computations (20% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	14	32
1	40	32
2	82	32
3	137	32
4	214	32
5	275	32
0	4	5
0	6	5
1	10	5
2	15	5
3	36	5
4	72	5
5	104	5
6	126	5
7	140	5
0	140	5

Iter	Nodes	Cost
0	14	32
1	40	32
2	82	32
3	137	32
4	214	32
5	275	32
0	4	5
0	6	5
1	10	5
2	15	5
3	36	5
4	72	5
5	104	5
6	126	5
7	140	5
0	140	5

start0.0ms (0%)

analyze0.0ms (0%)

sample734.0ms (52.9%)

explain83.0ms (6%)

preprocess25.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.4%)

localize12.0ms (0.9%)

series5.0ms (0.4%)

simplify158.0ms (11.4%)

rewrite49.0ms (3.5%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

simplify6.0ms (0.4%)

localize31.0ms (2.2%)

series3.0ms (0.2%)

simplify173.0ms (12.4%)

rewrite28.0ms (2.1%)

eval2.0ms (0.2%)

prune4.0ms (0.3%)

regimes4.0ms (0.3%)

simplify8.0ms (0.6%)

derivations0.0ms (0%)

preprocess53.0ms (3.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	32
1	40	32
2	82	32
3	137	32
4	214	32
5	275	32
0	4	5
0	6	5
1	10	5
2	15	5
3	36	5
4	72	5
5	104	5
6	126	5
7	140	5
0	140	5