I've noticed that Entity Framework translates LINQ queries with negative boolean filters such that the generated query plan won't use a filtered index. For example, the query:
context.Foo.Count(f => !f.IsActive)
generates the SQL statement:
SELECT 
    [GroupBy1].[A1] AS [C1]
    FROM ( SELECT 
        COUNT(1) AS [A1]
        FROM [dbo].[Foos] AS [Extent1]
        WHERE [Extent1].[IsActive] <> cast(1 as bit)
    )  AS [GroupBy1]
Notice the WHERE clause uses [IsActive] <> cast(1 as bit), rather than the more intuitive [IsActive] = 0. This becomes an issue when using filtered indexes. The plan for the above query will not use the following index:
CREATE INDEX IX_Foo_IsActive ON Foos (IsActive) WHERE (IsActive = 0)
I suspect the reason that EF generates queries this way has something to do with DB null semantics, but this happens even with non-nullable bit fields. I've verified that writing the filtered index with EF's syntax (IsActive <> 1) fixes the issue, but that would break any non-EF queries using the more common syntax.
Is there a better work around?
Full example program here: http://dotnetfiddle.net/3kZugt. The entity type used above is:
public class Foo
{
    public int Id { get; set; }
    public bool IsActive { get; set; }
}
                It's not unusual that for some strange reason, sometimes we don't see something which is really obvious: do a direct translation of your DB predicate to a C# predicate, i.e.
WHERE IsActive = 0
is translated to
f => f.IsActive = false
You have to stop thinking in C# and start thinking in SQL ;)
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