This is great work. Certainly consistent with where I am heading.

I would not be inclined to use DNF (because of its tendency to inflate
certain predicates) but if you are able to get something effective I
will happily use it. I think you should package it behind a method --
"find out what is left to satisfy p when you have already satisfied q"
or something -- and write lots of tests of that method, and it doesn't
really matter what algorithm is behind it.

Take a look at SubstitutionVisitor.simplfy(RexNode) and how it focuses
on finding whether

  p1 AND p2 AND p3 AND NOT (q1 AND q2 AND q3)

is satisfiable.

Later we will want to know not just "can I satisfy query Q using
materialization M?" but "can I satisfy part of Q using M, and what is
left over?". I can convert most of Q to use an aggregate table over
years 2012 .. 2014 and 2015 Jan - May, and then scan the raw data for
June 1st onwards, that is a big win.

What branch are you working on? Your master branch
https://github.com/qubole/incubator-calcite/tree/master seems to be
the same as apache/master right now.

If you can divide this work into pull requests with unit tests, I will
happy commit each change as you make progress.

By the way, I logged a few jira cases connected to materialized view
rewrite today. They were motivated by the phoenix team wanting to use
secondary indexes. But they could by applied to any scan-project-sort
materialization. See

* https://issues.apache.org/jira/browse/CALCITE-771
* https://issues.apache.org/jira/browse/CALCITE-772
* https://issues.apache.org/jira/browse/CALCITE-773

Julian

On Thu, Jun 25, 2015 at 11:46 AM, Amogh Margoor <[email protected]> wrote:
> Hi,
> We were working on a problem to detect if materialized view can be used to
> rewrite a query in non-trivial cases. Will briefly describe the problem and
> approach below and would appreciate feedback on the same.
>
> Motivation
> ---------------
> For instance there exists a table "logs" and a partition (materialized
> view)  named "log_after_01_Jan" created on it and described by SQL :
> "Select * from logs where log_date > '01-01-2015' ".
>
> Assume that the table "log_after_01_Jan" is much smaller than  table "logs".
>
>  For user query:
> "Select log_body from logs where log_date > '03-03-2015' and
> char_length(log_body) < 100",
> we should detect that the materialized view "log_after_01_Jan" can be used
> and transform the query into:
>
> "Select log_body from log_after_01_Jan where log_date > '03-03-2015' and
> char_length(log_body) < 100"
>
> Approach
> --------------
> One of the fundamental problems we would come across here is to check if a
> boolean condition X implies (=>) Y. This quickly reduces to the
> Satisfiability problem which is NP complete for propositional logic. But
> there are many instances like above which can be detected easily. We have
> implemented an approach to handle several useful cases for few operators
> and types of operands. Will be extending it further for more types of
> operations.
>
> Top Level approach:
>
> 1. Currently, VolcanoPlanner:useMaterialization tries to rewrite original
> query using MV using SubstitutionVisitor. Have extended SubstitutionVisitor
> to detect above cases and do the substitution.
>
> 2. To check if a condition X => Y,
>    a. Convert both of them into Disjunctive Normal Form.
>        Say X is transformed into  x_1 or x_2 or x_3 ... or x_m and
>        Y is transformed into y_1 or y_2 ,... or  y_i, where any x_i and y_i
> are conjunctions of atomic predicates.
>        For instance condition "(a>10 or b>20) and c <90" will be converted
> to DNF: (a>10 and c<90)  or (b>20 and c<90).
>
>    b. For X=>Y to be a tautology i.e., hold always true, every conjunction
> x_i should imply atleast one of the conjunction y_j.
>        We wrote some set of simple heuristics to check if a conjunction of
> atomic predicates implies another.
>       This also involves executing RexNode using RexImplExecutor.
>
> We have checked in code for this in our fork of
> calcite(qubole/incubator-calcite). This is ongoing work and we will be
> making many more improvements to it. If this is useful or anybody is
> interested in giving feedback then I can share the commit so that we can
> discuss about it and take it forward.
>
> Regards,
> Amogh
> Member of Technical Staff
> Qubole

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