Query Optimizer can't push predicate past rollup? HINTs doesn't work also

Question

This is the schema :

And this is the sql that as I understand is too complex for SQL Optimizer:

SELECT * FROM 
(
    select pp.Id as PaymentPartId,  b.Id as BudgetId, grouping(bp.ID) as g1 , sum(pp.Amount) PaymentsSum, sum(bp.Amount) BudgetSum
    from  Projects pr 
            inner join Payments p      ON pr.Id = p.ProjectID
            inner join PaymentParts pp ON p.Id = pp.PaymentId
            inner join Budgets b       ON pr.Id = b.ProjectID
            inner join Budgetparts bp  ON b.Id = bp.BudgetId
    group by pp.Id, b.Id, rollup(bp.ID)
)  x
WHERE   x.PaymentPartId = 777 

SQLFIDDLE: http://sqlfiddle.com/#!6/aa74e/11 (with autogenerated data)

What I expect: execution plan should contain index seek on x.PaymentPartId . Why? Because this query is equivalent to:

select pp.Id as PaymentPartId,  b.Id as BudgetId,  grouping(bp.ID) as g1, sum(pp.Amount) PaymentsSum, sum(bp.Amount)  BudgetSum
from  Projects pr 
        inner join Payments p      ON pr.Id = p.ProjectID
        inner join PaymentParts pp ON p.Id = pp.PaymentId
        inner join Budgets b       ON pr.Id = b.ProjectID
        inner join Budgetparts bp  ON b.Id = bp.BudgetId
WHERE   pp.Id = 777
group by pp.Id, b.Id, rollup(bp.ID)

...and the last query uses index seek.

But SQL Optimizer not only refuse to use the index but ignore all hints (I propose you to expirement wiht sqlfiddle - it is really interesting).

So the question is: am I right that it is impossible to force SQL Server Optimizer to use index seek there? It seems like rollup is something that split sql optimizer "optimization frame" to two parts and it makes it impossible to optimize WHOLE query.

PS For those who votes for closing this "non-programming question": try to put optimizer hints (sqlfiddle is ready to test your programming skills!).

Answer 1

Why hints doesn't work? - Roman Pokrovskij

It is in the documentation: http://technet.microsoft.com/en-us/library/ms181714.aspx

Query hints can be specified only in the top-level query, not in subqueries