@Haisheng, @Xiening,

Thanks for pointing that previous email out.  Overall, I agree that
the physical trait enforcement should be done in the engine, not in
the rule. For the rule, it should only specify the request, and the
corresponding transformation, and let the engine to explore the search
space. It will be great if we can revamp the Volcano optimizer
framework, to do that way.

In terms of search space, it's always a tradeoff between the space
searched and the optimality of the plan found. I think it's fine for
the engine to explore a potential big search space, as long as it has
effective "bound-and-prune" strategy. In the original Volcano paper,
there is a way to prune the search space based on the best plan found
so far, using the parameter "limit".  When an implementable plan is
found, a "real" cost is obtained, which could be used to prune
un-necessary search space.  That's actually the advantage of Volcano's
"top-down" approach. However,  seems to me that Calcite's Volcano did
not apply that approach effectively, because of the existence of
AbstractConverter.


On Sun, Nov 3, 2019 at 10:12 PM Haisheng Yuan <h.y...@alibaba-inc.com> wrote:
>
> Hi Jinfeng,
>
> I think you might have missed the email about proposed API for physical 
> operators I sent out previously in [1].
>
> We don't need request all the permutation, which is also impossible in 
> practice, the search space is going to explode.
>
> In the example in email [1], I already talked about your concen on passing 
> down parent request into children may lead to less optimal plan. Besically 
> join operator can send 2 collation optimization requests, one is to pass 
> request down, the other one is ignore the parent's request.
>
> Using AbstractConverter to enforce properties is inapporpriate, which handles 
> all the optimization work to physical operator providers, meaning there is 
> almost no physical level optimization mechanism in Calcite. SQL Server and 
> Greenplum's optimizer, which are Cascades framework based, implemented the 
> property enforcement in the core optimizer engine, not through 
> AbstractConverter and rules, physical operators just need to implement those 
> methods (or similar) I mentioned in email [1]. My goal is completely 
> abolishing AbstractConverter.
>
> [1] 
> http://mail-archives.apache.org/mod_mbox/calcite-dev/201910.mbox/%3cd75b20f4-542a-4a73-897e-66ab426494c1.h.y...@alibaba-inc.com%3e
>
> - Haisheng
>
> ------------------------------------------------------------------
> 发件人:Jinfeng Ni<j...@apache.org>
> 日 期:2019年11月01日 14:10:30
> 收件人:<dev@calcite.apache.org>
> 主 题:Re: [DISCUSS] On-demand traitset request
>
> Hi Xiening,
>
> "Let say if R and S doesn’t have sorting properties at all. In your
> case, we would end up adding enforcers for LHS and RHS to get
> collation (a, b, c). Then we would need another enforcer to get
> collation (b, c). This is a sub optimal plan as we could have use (b,
> c, a) for join."
>
> In such case, for step 2 when MergeJoin request a permutation match of
> (a, b,c) on both it's input, it is not necessary to end up with
> collation (a, b, c) only. Since it request "permutation", MJ could ask
> all possible satisfying collations, which include (b, c, a). In other
> words, the steps I described did not exclude such plan.
>
> You may argue it would increase the search space. However, by
> limiting the search space, without explore all possible choice, we may
> lose the chance getting 'optimal' plan we want. For instance, in the
> above example, the idea of passing "on demand" trait request (b,c)
> from Agg to MJ is to avoid unnecessary sort (b,c). In cases where the
> join condition has good filtering, and such sort of join output could
> be quite cheap. Yet in the plan enumeration, since we use "on demand"
> trait request from parent to guide the actions of MJ, I'm not sure if
> we may restrict the choices we consider in the legs of join, whose
> cardinality could be larger and play a bigger role in the overall
> cost.
>
> In other words, by using "on demand" trait request, we may restrict
> the choices of plan, possibly in the some operators with larger data
> size.
>
> In the current implementation of VolcanoPlanner, I feel the root issue
> of long planning time is not to explore all possible satisfying trait.
> It is actually the unnecessary of AbstractConverter, added to the
> equivalence class.
>
>
> On Fri, Oct 18, 2019 at 10:39 PM Xiening Dai <xndai....@gmail.com> wrote:
> >
> > Thanks for the sharing. I like the way you model this problem, Jinfeng.
> >
> > There’s one minor issue with your example. Let say if R and S doesn’t have 
> > sorting properties at all. In your case, we would end up adding enforcers 
> > for LHS and RHS to get collation (a, b, c). Then we would need another 
> > enforcer to get collation (b, c). This is a sub optimal plan as we could 
> > have use (b, c, a) for join.
> >
> > I think in step #2, the join operator would need to take the agg trait 
> > requirement into account. Then it would have two options -
> >
> > 1) require *exact/super* match of (b, c, a) or (c, b, a); this is to 
> > guarantee the join output would deliver the collation agg needs.
> > 2) require permutation match of (a, b, c); in such case, an enforcer might 
> > be needed for aggregation.
> >
> > Eventually the cost model decides who is the winner.
> >
> > There’s a fundamental difference between your model and Haisheng’s 
> > proposal. In Haisheng’s case, a rel node not only looks at its parent’s 
> > requirement, but also tries to get the potential traits its input could 
> > deliver. It would try to align them to eliminate unnecessary alternatives.
> >
> > In above example, assuming R is (b, c, a) and S is (a, b, c), to implement 
> > option 1), we would generate two alternatives -
> >
> > MergeJoin (b, c, a)
> > TableScan R
> > Sort(b, c, a)
> > TableScan S
> >
> > MergeJoin(c, b, a)
> > Sort(c, b, a)
> > TableScan R
> > Sort(c, b, a)
> > TableScan S
> >
> > But if we look at the input traits and has the insight that R already 
> > delivers (b, c, a), we could decide to require (b, c, a) only and avoid 
> > generating the 2nd plan, which is definitely worse, and reduce the search 
> > space.
> >
> >
> > > On Oct 18, 2019, at 4:57 PM, Jinfeng Ni <j...@apache.org> wrote:
> > >
> > > A little bit of history. In Drill, when we first implemented
> > > Distribution trait's definition, we allows both exact match and
> > > partial match in satisfy() method. This works fine for single-input
> > > operator such aggregation, however it leads to incorrect plan for join
> > > query, i.e LHS shuffle with (a, b), RHS shuffle with (a) . At that
> > > time, we removed partial match, and use exact match only. Yet this
> > > changes leads to unnecessary additional exchange. To mitigate this
> > > problem, in join physical operator, for a join key (a, b, c), we
> > > enumerate different distribution requests, yet this lead to more space
> > > to explore and significantly increase planning time (which is probably
> > > what Haisheng also experienced). When I look back, I feel probably
> > > what we miss is the "coordination" step in the join operator, because
> > > if we relax the requirement of satisfy(), for multi-input operators,
> > > we have to enforce some "coordination", to make sure multiple input's
> > > trait could work together properly.
> > >
> > >
> > >
> > > On Fri, Oct 18, 2019 at 4:38 PM Jinfeng Ni <j...@apache.org> wrote:
> > >>
> > >> This is an interesting topic. Thanks for bringing up this issue.
> > >>
> > >> My understanding of Volcano planner is it works in a top-down search
> > >> mode (the parent asks for certain trait of its child), while the trait
> > >> propagates in a bottom-up way, as Stamatis explained.
> > >>
> > >> IMHO, the issue comes down to the definition of RelTrait, how to
> > >> determine if a trait A could satisfy a request asking for trait B,
> > >> that is, how RelTrait.satisfies() method is implemented.
> > >>
> > >> Let's first clarify different situations, using collation as example.
> > >> 1) The collation is requested by query's outmost ORDER BY clause.
> > >> - The generated plan has to have "exact match", i.e same collation
> > >> (same column sequence), or "super match" .
> > >> exact match: (a, b) satisfy (a, b)
> > >> super match: (a, b, c) satisfy (a, b)
> > >>
> > >> 2) The collation is requested by operand with single input, such as
> > >> sort-based Aggregation.
> > >> - In such case, a "permutation match" is sufficient.
> > >> For instance, for Aggregation (b,c), input with collation (c, b)
> > >> could satisfy the requirement.
> > >> permutation match: (b, c) satisfy (c, b). (c, b) satisfy (c, b)
> > >> permutation match: (b, c, a) satisfy (c, b). (c, b, a) satisfy (c, b)
> > >>
> > >> 3) The collation is requested by operand with >= 2 inputs, such as
> > >> sort-based MergeJoin.
> > >> - A permutation match is sufficient for each input
> > >> - MergeJoin has to do coordination, after input's trait propagates
> > >> upwards. In other words, ensure both inputs's permutation match are
> > >> actually same sequence. Otherwise, enforcer could be inserted upon
> > >> each input, and the planner generates two plans and let the cost
> > >> decide.
> > >>
> > >> For the first case, this is how today's RelCollation's satisfy()
> > >> method is implemented.
> > >>
> > >> For the second / third cases, use Haisheng's example,
> > >>
> > >> SELECT DISTINCT c, b FROM
> > >> ( SELECT R.c c, S.b b FROM R, S
> > >> WHERE R.a=S.a and R.b=S.b and R.c=S.c) t;
> > >>
> > >> Aggregate . (c, b)
> > >> +--- MergeJoin . (a, b, c)
> > >> |--- TableScan on R
> > >> +--- TableScan on S
> > >>
> > >> Here is the steps that might take place in the planner:
> > >>
> > >> 1) Aggregate request permutation match collation (c, b)
> > >> 2) MergeJoin request a permutation match of (a, b,c) on both it's input
> > >> 3) R respond with collation (c, b, a), which satisfy MergeJoin's LHS 
> > >> requirement
> > >> 4) S respond with collation (b, c, a), which satisfy MergeJoins' RHS 
> > >> requirement
> > >> 5) MergeJoin do a coordination o LHS, RHS, and generate two possible 
> > >> plans
> > >> MJ1: Insert a sort of (c, b, a) on RHS. This MJ operator now has
> > >> collation of (c, b, a)
> > >> MJ2: Insert a sort of (b, c, a) on LHS. This MJ operator now has
> > >> collation of (b, c, a)
> > >> 6) MJ1 and MJ2 could both satisfy permutation match request in step
> > >> 1, leading to two possible plans:
> > >> Agg1: with input of MJ1
> > >> Agg2: with input of MJ2
> > >> 7) planner chooses a best plan based on cost of Agg1 and Agg2.
> > >>
> > >> I should point that the enforcer sort inserted in step 5 could help
> > >> remove redundant sort in its input, if the input's collation is
> > >> obtained from sort, by invoking Calcite's SortRemove Rule.
> > >>
> > >> The above only considers the column sequence. The DESC/ASC, NULL
> > >> FIRST/LAST will add more complexity, but we probably use similar idea.
> > >>
> > >> In summary, we need :
> > >> 1) redefine collation trait's satisfy() policy, exact match, super
> > >> match, permutation match,
> > >> 2) different physical operator applies different trait matching
> > >> policy, depending on operator's # of inputs, and algorithm
> > >> implementation.
> > >>
> > >>
> > >>
> > >>
> > >>
> > >> On Fri, Oct 18, 2019 at 2:51 PM Haisheng Yuan <h.y...@alibaba-inc.com> 
> > >> wrote:
> > >>>
> > >>> Hi Stamatis,
> > >>>
> > >>> Thanks for your comment. I think my example didn't make it clear.
> > >>>
> > >>> When a logical operator is created, it doesn't have any physical,
> > >>> propertyand it shouldn't have. When a physical operator is created,
> > >>> e.g. in Enumerable convention, it only creates an intuitive traitset
> > >>> with it, and requests it children the corresponding ones.
> > >>>
> > >>> For operators such as Join, Aggregate, Window, which may deliver
> > >>> multiple different traitsets, when the parent operator is created and
> > >>> request its traitset, it might be good to know what are the poosible
> > >>> traitset that the child operator can deliver. e.g.
> > >>>
> > >>> SELECT DISTINCT c, b FROM
> > >>> ( SELECT R.c c, S.b b FROM R, S
> > >>> WHERE R.a=S.a and R.b=S.b and R.c=S.c) t;
> > >>>
> > >>> Suppose R is ordered by (c, b, a), and S is ordered by (b, c, a).
> > >>> Here is the logical plan:
> > >>> Aggregate
> > >>> +--- InnerJoin
> > >>> |--- TableScan on R
> > >>> +--- TableScan on S
> > >>>
> > >>> When we create a physical merge join for the inner join, it may just
> > >>> have collation sorted on a,b,c. Then the aggreate on top of join will
> > >>> request another sort on c,b, thus we miss the best plan. What we
> > >>> can do is requesting all the order combinations, which is n!, like
> > >>> how the Values operator does. But that is too much.
> > >>>
> > >>> If we can provide an approach that can minimize the possiple traitset
> > >>> that the child operator may deliver, we can reduce the chance of missing
> > >>> good plans. For the above query, the Aggregate operator can derive
> > >>> possible traitsets that its child operator join can deliver, in which 
> > >>> case,
> > >>> the possiple traitsets of join is
> > >>> 1. collation on (a,b,c) based on join condition,
> > >>> 2. collation on (c,b,a) based on left child,
> > >>> 3. collation on (b,c,a) based on right child
> > >>> So we can request Aggregate sorted by (c,b) and Join sorted by (c,b,a).
> > >>> The number of traiset requests and plan alternatives can be reduced.
> > >>> The DerivedTraitSets can be used to derive the possible traitsets from
> > >>> Join, and pass through Project, Filter etc...
> > >>>
> > >>> This is just an example of non-distributed system, for distributed 
> > >>> system,
> > >>> it can save much more by considering the possible distribution delivered
> > >>> by child operators.
> > >>>
> > >>> One thing that concerns me is it highly relies on the traiset system of 
> > >>> the
> > >>> underlying physical system. Like Enumerable doesn't consider 
> > >>> distribution,
> > >>> because it is single-node system, but Hive/Flink are distributed system.
> > >>> - Haisheng
> > >>>
> > >>> ------------------------------------------------------------------
> > >>> 发件人:Stamatis Zampetakis<zabe...@gmail.com>
> > >>> 日 期:2019年10月18日 14:53:41
> > >>> 收件人:<dev@calcite.apache.org>
> > >>> 主 题:Re: [DISCUSS] On-demand traitset request
> > >>>
> > >>> Hi Haisheng,
> > >>>
> > >>> This is an interesting topic but somehow in my mind I thought that this
> > >>> mechanism is already in place.
> > >>>
> > >>> When an operator (logical or physical) is created its traitset is
> > >>> determined in bottom-up fashion using the create
> > >>> static factory method present in almost all operators. In my mind this 
> > >>> is
> > >>> in some sense the applicability function
> > >>> mentioned in [1].
> > >>>
> > >>> Now during optimization we proceed in top-down manner and we request
> > >>> certain traitsets from the operators.
> > >>> If it happens and they contain already the requested traits nothing 
> > >>> needs
> > >>> to be done.
> > >>>
> > >>> In your example when we are about to create the sort-merge join we can
> > >>> check what traitsets are present in the inputs
> > >>> and if possible request those. Can you elaborate a bit more why do we 
> > >>> need
> > >>> a new type of metadata?
> > >>>
> > >>> Anyway if we cannot do it at the moment it makes sense to complete the
> > >>> missing bits since what you are describing
> > >>> was already mentioned in the original design of the Volcano optimizer 
> > >>> [1].
> > >>>
> > >>> "If a move to be pursued is the exploration of a normal query processing
> > >>> algorithm such as merge-join, its cost is calculated by the algorithm's
> > >>> cost function. The algorithm's applicability function determines the
> > >>> physical properly vectors for the algorithms inputs, and their costs and
> > >>> optimal plans are found by invoking FindBestPlan for the inputs. For 
> > >>> some
> > >>> binary operators, the actual physical properties of the inputs are not 
> > >>> as
> > >>> important as the consistency of physical properties among the inputs. 
> > >>> For
> > >>> example, for a sort-based implementation of intersection, i.e., an
> > >>> algorithm very similar to merge-join, any sort order of the two inputs 
> > >>> will
> > >>> suffice as long as the two inputs are sorted in the same way. Similarly,
> > >>> for a parallel join, any partitioning of join inputs across multiple
> > >>> processing nodes is acceptable if both inputs are partitioned using
> > >>> Compatible partitioning rules. For these cases, the search engine 
> > >>> permits
> > >>> the optimizer implementor to specify a number of physical property 
> > >>> vectors
> > >>> to be tried. For example, for the intersection of two inputs R and S 
> > >>> with
> > >>> attributes A, B, and C where R is sorted on (A,B,C) and S is sorted on
> > >>> (B,A,C), both these sort orders can be specified by the optimizer
> > >>> implementor and will be optimized by the generated optimizer, while 
> > >>> other
> > >>> possible sort orders, e.g., (C,B,A), will be ignored. " [1]
> > >>>
> > >>> Best,
> > >>> Stamatis
> > >>>
> > >>> [1]
> > >>> https://www.cse.iitb.ac.in/infolab/Data/Courses/CS632/Papers/Volcano-graefe.pdf
> > >>>
> > >>> On Fri, Oct 18, 2019 at 4:56 AM Haisheng Yuan <h.y...@alibaba-inc.com>
> > >>> wrote:
> > >>>
> > >>>> TL;DR
> > >>>> Both top-down physical TraitSet request and bottom-up TraitSet
> > >>>> derivation have their strongth and weakness, we propose
> > >>>> on-demand TraitSet request to combine the above two, to reduce
> > >>>> the number of plan alternatives that are genereated, especially
> > >>>> in distributed system.
> > >>>>
> > >>>> e.g.
> > >>>> select * from foo join bar on f1=b1 and f2=b2 and f3=b3;
> > >>>>
> > >>>> In non-distributed system, we can generate a sort merge join,
> > >>>> requesting foo sorted by f1,f2,f3 and bar sorted by b1,b2,b3.
> > >>>> But if foo happens to be sorted by f3,f2,f1, we may miss the
> > >>>> chance of making use of the delivered ordering of foo. Because
> > >>>> if we require bar to be sorted by b3,b2,b1, we don't need to
> > >>>> sort on foo anymore. There are so many choices, n!, not even
> > >>>> considering asc/desc and null direction. We can't request all
> > >>>> the possible traitsets in top-down way, and can't derive all the
> > >>>> possible traitsets in bottom-up way either.
> > >>>>
> > >>>> We propose on-demand traitset request by adding a new type
> > >>>> of metadata DerivedTraitSets into the built-in metadata system.
> > >>>>
> > >>>> List<RelTraitSet> deriveTraitSets(RelNode, RelMetadataQuery)
> > >>>>
> > >>>> In this metadata, every operator returns several possbile traitsets
> > >>>> that may be derived from this operator.
> > >>>>
> > >>>> Using above query as an example, the tablescan on foo should
> > >>>> return traiset with collation on f3, f2, f1.
> > >>>>
> > >>>> In physical implementation rules, e.g. the SortMergeJoinRule,
> > >>>> it gets possible traitsets from both child operators, uses the join
> > >>>> keys to eliminate useless traitsets, leaves out usefull traitsets,
> > >>>> and requests corresponding traitset on the other child.
> > >>>>
> > >>>> This relies on the feature of AbstractConverter, which is turned
> > >>>> off by default, due to performance issue [1].
> > >>>>
> > >>>> Thoughts?
> > >>>>
> > >>>> [1] https://issues.apache.org/jira/browse/CALCITE-2970
> > >>>>
> > >>>> Haisheng
> > >>>>
> > >>>>
> > >>>
> >
>

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