At the end of my last post, “CSelCalcCombineFilters_ExponentialBackoff” Calculator I gave the following homework:

Homework assignment – add another member column to the mix that has a 0.100 selectivity (for example – county) and compare the estimates using a pre-2014 and 2014 CTP2 compatibility mode.

Here is the answer-key.  I’ll start off with adding a new column called “county” to the member table (and yes – county gets a little involved for some cities like NYC, but let’s just go with a uniform county association to city/state for now):

ALTER TABLE [dbo].[member]
ADD [county] varchar(15) NULL;

And then next I’ll revise my previous city/state update script to include county:

UPDATE  [dbo].[member]
SET     [city] = 'Minneapolis',
[state_prov] = 'MN',
[county] = 'Hennepin'
WHERE   [member_no] % 10 = 0;

UPDATE  [dbo].[member]
SET     [city] = 'New York',
[state_prov] = 'NY',
[county]='Manhattan'
WHERE   [member_no] % 10 = 1;

UPDATE  [dbo].[member]
SET     [city] = 'Chicago',
[state_prov] = 'IL',
[county]='Cook'
WHERE   [member_no] % 10 = 2;

UPDATE  [dbo].[member]
SET     [city] = 'Houston',
[state_prov] = 'TX',
[county]='Harrisburg'
WHERE   [member_no] % 10 = 3;

UPDATE  [dbo].[member]
SET     [city] = 'Philadelphia',
[state_prov] = 'PA',
[county]='Philadelphia'
WHERE   [member_no] % 10 = 4;

UPDATE  [dbo].[member]
SET     [city] = 'Phoenix',
[state_prov] = 'AZ',
[county]=''
WHERE   [member_no] % 10 = 5;

UPDATE  [dbo].[member]
SET     [city] = 'San Antonio',
[state_prov] = 'TX',
[county]='Bexar'
WHERE   [member_no] % 10 = 6;

UPDATE  [dbo].[member]
SET     [city] = 'San Diego',
[state_prov] = 'CA',
[county]='San Diego'
WHERE   [member_no] % 10 = 7;

UPDATE  [dbo].[member]
SET     [city] = 'Dallas',
[state_prov] = 'TX',
[county]='Dallas'
WHERE   [member_no] % 10 = 8;
GO

Now, what row estimate will we get for the member table pre-2014 if we execute the following query?

SELECT  m.[lastname],
m.[firstname],
SUM(c.[charge_amt]) AS [Total_Charge_amt]
FROM    [dbo].[member] AS [m]
INNER JOIN [dbo].[charge] AS 1 ON
m.[member_no] = c.[member_no]
WHERE   [city] = 'Minneapolis' AND
[state_prov] = 'MN' AND
[county] = 'Hennepin'
GROUP BY m.[lastname],
m.[firstname]
OPTION (RECOMPILE);
GO

We see the following estimated rows versus actual (keeping in mind that there are no multi-column stats to help us out):

image thumb5 “CSelCalcCombineFilters ExponentialBackoff” Calculator– Part II

Estimated number of rows is 10, but actual is 1000.

Given that we know the three predicates are correlated, but SQL Server thinks they are independent (no multi-column stats), we can see the calculation is as follows:

image thumb6 “CSelCalcCombineFilters ExponentialBackoff” Calculator– Part II

Now if I switch to 2014 compatibility mode, I see the following estimated number of rows:

image thumb7 “CSelCalcCombineFilters ExponentialBackoff” Calculator– Part II

And I see the following query_optimizer_estimate_cardinality event output we see the following for the 2014 version of the plan:

<CalculatorList>
<FilterCalculator CalculatorName=”CSelCalcCombineFilters_ExponentialBackoff” Conjunction=”true”>
<SubCalculator>
<FilterCalculator CalculatorName=”CSelCalcColumnInInterval” Selectivity=”0.100″ TableName=”[m]” ColumnName=”state_prov” StatId=”5″ />
<FilterCalculator CalculatorName=”CSelCalcColumnInInterval” Selectivity=”0.100″ TableName=”[m]” ColumnName=”county” StatId=”8″ />
<FilterCalculator CalculatorName=”CSelCalcColumnInInterval” Selectivity=”0.100″ TableName=”[m]” ColumnName=”city” StatId=”4″ />
</SubCalculator>
</FilterCalculator>
</CalculatorList>

So updating the formulas, how is the 177.828 derived?

image thumb8 “CSelCalcCombineFilters ExponentialBackoff” Calculator– Part II

So we see in 2014 CTP2 that instead of multiplying the selectivity of each predicate (again, assuming independence), the Exponential Backoff calculator is blunting the impact 10000*0.1*POWER(0.1,1/2)*POWER(0.1,1/4).

Still a skew – but less so.  177.828 estimated vs. 10.  And think it doesn’t really matter?

For this example on my test system, pre-2014 the Clustered Index Scan was serial and fed to a Distribute Streams exchange operator, and with the new estimate, the operator is parallel.

Before:

image thumb9 “CSelCalcCombineFilters ExponentialBackoff” Calculator– Part II

After:

image thumb10 “CSelCalcCombineFilters ExponentialBackoff” Calculator– Part II

Plenty more to explore in this area…