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The Next-Generation Query Planner
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Table Of Contents
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<div id="toc_sub"><div class="fancy-toc1"><a href="#_introduction">1.  Introduction</a></div>
<div class="fancy-toc1"><a href="#_background">2.  Background</a></div>
<div class="fancy-toc2"><a href="#_query_planning_in_sqlite">2.1.  Query Planning In SQLite</a></div>
<div class="fancy-toc2"><a href="#_the_sqlite_query_planner_stability_guarantee">2.2.  The SQLite Query Planner Stability Guarantee</a></div>
<div class="fancy-toc1"><a href="#_a_difficult_case">3.  A Difficult Case</a></div>
<div class="fancy-toc2"><a href="#_query_details">3.1.  Query Details</a></div>
<div class="fancy-toc2"><a href="#_complications">3.2.  Complications</a></div>
<div class="fancy-toc2"><a href="#_finding_the_best_query_plan">3.3.  Finding The Best Query Plan</a></div>
<div class="fancy-toc2"><a href="#_the_n_nearest_neighbors_or_n3_heuristic">3.4.  The N Nearest Neighbors or "N3" Heuristic</a></div>
<div class="fancy-toc1"><a href="#_hazards_of_upgrading_to_ngqp">4.  Hazards Of Upgrading To NGQP</a></div>
<div class="fancy-toc2"><a href="#_case_study_upgrading_fossil_to_the_ngqp">4.1.  Case Study: Upgrading Fossil to the NGQP</a></div>
<div class="fancy-toc2"><a href="#_fixing_the_problem">4.2.  Fixing The Problem</a></div>
<div class="fancy-toc1"><a href="#_checklist_for_avoiding_or_fixing_query_planner_problems">5.  Checklist For Avoiding Or Fixing Query Planner Problems</a></div>
<div class="fancy-toc1"><a href="#_summary">6.  Summary</a></div>
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<h1 id="_introduction"><span>1. </span> Introduction</h1>

<p>
The task of the "query planner" is to figure
out the best algorithm or "query plan" to accomplish an SQL statement.
Beginning with SQLite <a href="releaselog/3_8_0.html">version 3.8.0</a> (2013-08-26),
the query planner component has been
rewritten so that it runs faster and generates better plans.  The
rewrite is called the "next generation query planner" or "NGQP".
</p>

<p>This article overviews the importance of query planning, describes some
of the problems inherent to query planning, and outlines how the NGQP
solves those problems.</p>

<p>The NGQP is almost always better than the legacy query planner.
However, there may exist legacy applications that unknowingly depend on 
undefined and/or suboptimal behavior in the legacy query planner, and
upgrading to the NGQP on those legacy applications could cause performance
regressions.  This risk is considered and a checklist is provided
for reducing the risk and for fixing any issues that do arise.</p>

<p>This document focuses on the NGQP.  For a more general overview of the
SQLite query planner that encompasses the entire history of SQLite, see the
"<a href="optoverview.html">The SQLite Query Optimizer Overview</a>" and
"<a href="queryplanner.html">How Indexes Work</a>" documents.</p>

<h1 id="_background"><span>2. </span> Background</h1>

<p>For simple queries against a single table with few indexes, there is usually
an obvious choice for the best algorithm.
But for larger and more complex queries, such as
multi-way joins with many indexes
and subqueries, there can be hundreds, thousands, or millions
of reasonable algorithms for computing the result.
The job of the query planner is to choose the single "best" query plan from
this multitude of possibilities.</p>

<p>Query planners are what make SQL database engines so amazingly useful and powerful.
(This is true of all SQL database engines, not just SQLite.)
The query planner frees the programmer from the chore of selecting
a particular query plan, and thereby allows the programmer to
focus more mental energy on higher-level application issues and on 
providing more value to the end user.  For simple queries where the choice
of query plan is obvious, this is convenient but not hugely important.
But as applications and schemas and queries grow more complex, a
clever query planner can greatly speed and simplify the work of application
development. 
There is amazing power in being about to tell
the database engine what content is desired, and then let the database
engine figure out the best way to retrieve that content.</p>

<p>Writing a good query planner is more art than science.
The query planner must work with incomplete information.
It cannot determine how long any particular plan will take
without actually running that plan.  So when comparing two
or more plans to figure out which is "best", the query planner has to make
some guesses and assumptions and those guesses and assumptions will 
sometimes be wrong. A good query planner is one that will
find the correct solution often enough that application
programmers rarely need to get involved.</p>

<h2 id="_query_planning_in_sqlite"><span>2.1. </span> Query Planning In SQLite</h2>

<p>SQLite computes joins using nested loops, 
one loop for each table
in the join.  (Additional loops might be inserted for IN
and OR operators in the WHERE clause.  SQLite considers those too,
but for simplicity we will ignore them in this essay.)
One or more indexes might be used on each loop to speed the search,
or a loop might be a "full table scan" that reads every row in the
table.  Thus query planning decomposes into two subtasks:</p>
<ol>
<li> Picking the nested order of the various loops
</li><li> Choosing good indexes for each loop
</li></ol>
<p>Picking the nesting order is generally the more challenging problem.
Once the nesting order of the join is established, the choice of indexes
for each loop is normally obvious.</p>

<a name="qpstab"></a>

<h2 id="_the_sqlite_query_planner_stability_guarantee"><span>2.2. </span> The SQLite Query Planner Stability Guarantee</h2>

<p>When the Query Planner Stability Guarantee (QPSG) is enabled
SQLite will always pick the same query plan for any
given SQL statement as long as:

</p><ol type="a">
<li>the database schema does not change in significant ways such as 
    adding or dropping indexes,</li>
<li>the ANALYZE command is not rerun, </li>
<li>the same version of SQLite is used.</li>
</ol>

<p>The QPSG is disabled by default.  It can be enabled at compile-time
using the <a href="compile.html#enable_qpsg">SQLITE_ENABLE_QPSG</a> compile-time option, or at run-time by
invoking <a href="c3ref/db_config.html">sqlite3_db_config</a>(db,<a href="c3ref/c_dbconfig_defensive.html#sqlitedbconfigenableqpsg">SQLITE_DBCONFIG_ENABLE_QPSG</a>,1,0).

</p><p>The QPSG means that if all of your queries run efficiently
during testing, and if your application does not change the schema,
then SQLite will not suddenly decide to start using a different
query plan, possibly causing a performance problem, after your application 
is released to users.  If your application works in the lab, it
will continue working the same way after deployment.</p>

<p>Enterprise-class client/server SQL database engines do not normally 
make this guarantee.
In client/server SQL database engines, the server keeps track of
statistics on the sizes of tables and on the quality of indexes 
and the query planner uses those statistics to help select the best plans.
As content is added, deleted, or changed in the database, the statistics 
will evolve and may cause the query planner to begin using a different 
query plan for some particular query.  Usually the new plan will be better 
for the evolving structure of the data.  But sometimes the new query plan will
cause a performance reduction.  With a client/server database engine, there
is typically a Database Administrator (DBA) on hand to deal with these 
rare problems as they come up.  But DBAs are not available to fix problems 
in an embedded database like SQLite, and hence SQLite is careful to
ensure that plans do not change unexpectedly after deployment.</p>

<p>It is important to note that changing versions of SQLite might cause
changes in query plans.
The same version of SQLite will
always pick the same query plan, but if you relink your application to use
a different version of SQLite, then query plans might change.  In rare
cases, an SQLite version change might lead to a performance regression.  
This is one reason
you should consider statically linking your applications against SQLite 
rather than use a system-wide SQLite shared library which might 
change without your knowledge or control.</p>

<h1 id="_a_difficult_case"><span>3. </span> A Difficult Case</h1>

<p>
"TPC-H Q8" is a test query from the
<a href="http://www.tpc.org/tpch/">Transaction Processing Performance
Council</a>.  The query planners in SQLite versions 3.7.17 and earlier 
do not choose good plans for TPC-H Q8.  And it has been determined that 
no amount
of tweaking of the legacy query planner will fix that.  In order to find
a good solution to the TPC-H Q8 query, and to continue improving the 
quality of SQLite's query planner, it became necessary to redesign the
query planner.  This section tries to explain why this redesign was
necessary and how the NGQP is different and addresses the TPC-H Q8 problem.
</p>

<h2 id="_query_details"><span>3.1. </span> Query Details</h2>

<p>
TPC-H Q8 is an eight-way join.
As observed above, the main task of the query planner is
to figure out the best nesting order of the eight loops in order to minimize
the work needed to complete the join.
A simplified model of this problem for the case of TPC-H Q8 is shown
by the following diagram:
</p>

<center>
<img src="images/qp/tpchq8.gif">
</center>

<p>
In the diagram, each of the 8 tables in the FROM clause of the query is
identified by a large circle with the label of the FROM-clause term:
N2, S, L, P, O, C, N1 and R.
The arcs in the graph represent the estimated cost of computing each term 
assuming that the origin of the arc is in an outer loop.  For example, the
cost of running the S loop as an inner loop to L is 2.30 whereas the
cost of running the S loop as an outer loop to L is 9.17.</p>

<p>The "cost" here is logarithmic.  With nested loops, the work
is multiplied, not added.  But it is customary to think of graphs
with additive weights and so the graph shows the logarithm of the
various costs.  The graph shows a cost advantage of S being inside of
L of about 6.87, but this translates into the query running about
963 times faster when S loop is inside of the L loop rather than
being outside of it.</p>

<p>The arrows from the small circles labeled with "*" indicate the cost
of running each loop with no dependencies.  The outer loop must use this
*-cost.  Inner loops have the option of using the *-cost or a cost assuming
one of the other terms is in an outer loop, whichever gives the best
result.  One can think of the *-costs as a short-hand notation indicating
multiple arcs, one from each of the other nodes in the
graph.  The graph is therefore "complete", meaning that there are arcs
(some explicit and some implied) in both directions between every pair of 
nodes in the graph.</p>

<p>The problem of finding the best query plan is equivalent to finding
a minimum-cost path through the graph that visits each node
exactly once.</p>

<p>(Side note:  The cost estimates in the TPC-H Q8 graph above were computed
by the query planner in SQLite 3.7.16 and converted using a natural logarithm.)
</p>

<h2 id="_complications"><span>3.2. </span> Complications</h2>

<p>The presentation of the query planner problem above is a simplification.
The costs are estimates.  We cannot
know what the true cost of running a loop is until we actually run the loop.
SQLite makes guesses for the cost of running a loop based on
the availability of indexes and constraints found in the WHERE
clause.  These guesses are usually pretty good, but they can sometimes be
off.  Using the <a href="lang_analyze.html">ANALYZE</a> command to collect additional statistical
information about the database can sometimes enable SQLite to make better
guesses about the cost.</p>

<p>The costs are comprised of multiple numbers, not a single number as
shown in the graph.
SQLite computes several different estimated costs for each loop that apply at
different times.  For example, there is a "setup" cost that is incurred
just once when the query starts.  The setup cost is the cost of computing
an <a href="optoverview.html#autoindex">automatic index</a> for a table that does not already
have an index.  Then there
is the cost of running each step of the loop.  Finally, there is an estimate
of the number rows generated by the loop, which is information needed in
estimating the costs of inner loops.  Sorting costs may come into play
if the query has an ORDER BY clause.</p>

<p>In a general query, dependencies need not be on a single loop, and hence
the matrix of dependencies might not be representable as a graph.
For example, one of the WHERE clause constraints might be
S.a=L.b+P.c, implying that the S loop must be an inner loop of both
L and P.  Such dependencies cannot be drawn as a graph
since there is no way for an arc to originate at two or more nodes at
once.</p>

<p>If the query contains an ORDER BY clause or a GROUP BY clause or if
the query uses the DISTINCT keyword then it is advantageous to select a 
path through the graph that causes rows to naturally appear in sorted order, 
so that no separate sorting step is required.  Automatic elimination of 
ORDER BY clauses
can make a large performance difference, so this is another factor
that needs to be considered in a complete implementation.</p>

<p>In the TPC-H Q8 query, the setup costs are all negligible,
all dependencies are between individual nodes, and there is no ORDER BY,
GROUP BY, or DISTINCT clause. So for TPC-H Q8,
the graph above is a reasonable representation of what needs to be computed.
The general case involves a lot of extra complication, which for clarity
is neglected in the remainder of this article.</p>

<h2 id="_finding_the_best_query_plan"><span>3.3. </span> Finding The Best Query Plan</h2>

<p>Prior to <a href="releaselog/3_8_0.html">version 3.8.0</a> (2013-08-26), SQLite always used
the "Nearest Neighbor" or "NN" heuristic when searching for the best query plan.
The NN heuristic makes a single traversal of the graph, always choosing
the lowest-cost arc as the next step.  
The NN heuristic works surprisingly well in most cases.
And NN is fast, so that SQLite is able to quickly find good plans
for even large 64-way joins.  In contrast, other SQL database engines that
do more extensive searching tend to bog down when the
number of tables in a join goes above 10 or 15.</p>

<p>Unfortunately, the query plan computed by NN for TPC-H Q8 is not optimal.
The plan computed using NN is R-N1-N2-S-C-O-L-P with a cost of 36.92.  
The notation
in the previous sentence means that the R table is run in the outer loop,
N1 is in the next inner loop, N2 is in the third loop, and so forth down
to P which is in the inner-most loop.  The shortest path through the
graph (as found via exhaustive search) is  P-L-O-C-N1-R-S-N2
with a cost of 27.38.  The difference might not seem like much, but 
remember that
the costs are logarithmic, so the shortest path is nearly 750 times
faster than that path found using the NN heuristic.</p>

<p>One solution to this problem is to change SQLite to do an exhaustive
search for the best path.  But an exhaustive search requires time 
proportional to
K! (where K is the number of tables in the join) and so when you get 
beyond a 10-way join, the time
to run <a href="c3ref/prepare.html">sqlite3_prepare()</a> becomes very large.</p>

<h2 id="_the_n_nearest_neighbors_or_n3_heuristic"><span>3.4. </span> The N Nearest Neighbors or "N3" Heuristic</h2>

<p>The NGQP uses a new heuristic for seeking the best path through the
graph: "N Nearest Neighbors" (hereafter "N3").  With N3, instead of
choosing just one nearest neighbor for each step, the algorithm keeps
track of the N bests paths at each step for some small integer N.</p>

<p>Suppose N=4.  Then for the TPC-H Q8 graph, the first step finds
the four shortest paths to visit any single node in the graph:

</p><blockquote>
    R (cost: 3.56) <br>
    N1 (cost: 5.52) <br>
    N2 (cost: 5.52) <br>
    P (cost: 7.71) <br>
</blockquote>

<p>The second step finds the four shortest paths to visit two nodes 
beginning with one of the four paths from the previous step.  In the
case where two or more paths are equivalent (they have the same set of
visited nodes, though possibly in a different order) only the
first and lowest-cost path is retained.  We have:</p>

<blockquote>
    R-N1 (cost: 7.03) <br>
    R-N2 (cost: 9.08) <br>
    N2-N1 (cost: 11.04) <br>
    R-P {cost: 11.27} <br>
</blockquote>

<p>The third step starts with the four shortest two-node paths and finds
the four shortest three-node paths:</p>

<blockquote>
    R-N1-N2 (cost: 12.55) <br>
    R-N1-C (cost: 13.43) <br>
    R-N1-P (cost: 14.74) <br>
    R-N2-S (cost: 15.08) <br>
</blockquote>

<p>And so forth.  There are 8 nodes in the TPC-H Q8 query, 
so this process repeats a total of 8
times.  In the general case of a K-way join, the storage requirement
is O(N) and the computation time is O(K*N), which is significantly faster
than the O(2<small><sup>K</sup></small>) exact solution.</p>

<p>But what value to choose for N?  One might try N=K.  This makes the
algorithm O(K<small><sup>2</sup></small>) 
which is actually still quite efficient, since the
maximum value of K is 64 and K rarely exceeds 10.  
But that is not enough for the TPC-H Q8
problem.  With N=8 on TPC-H Q8 the N3 algorithm finds 
the solution R-N1-C-O-L-S-N2-P with a cost of 29.78.  
That is a big improvement over NN, but it is still
not optimal.  N3 finds the optimal solution for TPC-H Q8 
when N is 10 or greater.</p>

<p>The initial implementation of NGQP chooses N=1 for simple queries, N=5
for two-way joins and N=10 for all joins with three or more tables.  This
formula for selecting N might change in subsequent releases.</p>

<a name="hazards"></a>

<h1 id="_hazards_of_upgrading_to_ngqp"><span>4. </span> Hazards Of Upgrading To NGQP</h1>

<p><i>Update on 2018-11-24: This section was important 
when the NGQP was new.  But five years have elapsed, the NGQP has been
deployed successfully to billions of devices, and everyone has upgraded.
The upgrade hazard has vanished.
This section is retained for historical reference only.
Modern reads can skip ahead to the <a href="queryplanner-ng.html#howtofix">query planner checklist</a>.</i>

</p><p>For most applications, upgrading from the legacy query planner to the NGQP
requires little thought or effort.
Simply replace the older SQLite version with the newer version of SQLite 
and recompile and the application will run faster.  
There are no API changes nor modifications
to compilation procedures.</p>

<p>But as with any query planner change, upgrading to the NGQP does carry
a small risk of introducing performance regressions.  The problem here is
not that the NGQP is incorrect or buggy or inferior to the legacy query
planner.  Given reliable information about the selectivity of indexes, 
the NGQP should always pick a plan that is as good or better than before.
The problem is that some applications may be using low-quality and
low-selectivity indexes without having run <a href="lang_analyze.html">ANALYZE</a>.  The older query
planners look at many fewer possible implementations for each query and 
so they may have stumbled over a good plan by stupid luck.  The NGQP, on 
the other hand, looks at many more query plan possibilities, and it may 
choose a different query plan that
works better in theory, assuming good indexes, but which gives a performance
regression in practice, because of the shape of the data.</p>

<p>Key points:</p>

<ul>
<li><p>The NGQP will always find an equal or better query plan, compared to
    prior query planners, as long as it
    has access to accurate <a href="lang_analyze.html">ANALYZE</a> data in the <a href="fileformat2.html#stat1tab">SQLITE_STAT1</a> file.</p>
</li><li><p>The NGQP will always find a good query plan 
    as long as the schema does not contain indexes that have more than
    about 10 or 20 rows with the same value in the left-most column of the
    index.</p>
</li></ul>

<p>Not all applications meet these conditions.  Fortunately,
the NGQP will still usually find good query plans, even without these conditions.
However, cases do arise (rarely) where performance regressions can occur.</p>

<a name="fossilcasestudy"></a>

<h2 id="_case_study_upgrading_fossil_to_the_ngqp"><span>4.1. </span> Case Study: Upgrading Fossil to the NGQP</h2>

<p>The <a href="http://www.fossil-scm.org/">Fossil DVCS</a> is the version
control system used to track all of the SQLite source code.
A Fossil repository is an SQLite database file.
(Readers are invited to ponder this recursion as an independent exercise.)
Fossil is both the version-control system for SQLite and a test
platform for SQLite.  Whenever enhancements are made to SQLite, 
Fossil is one of the first applications to test and evaluate those
enhancements.  So Fossil was an early adopter of the NGQP.</p>

<p>Unfortunately, the NGQP caused a
performance regression in Fossil.</p>

<p>One of the many reports that Fossil makes available is a timeline of
changes to a single branch showing all merges in and out of that branch.  See
<a href="http://www.sqlite.org/src/timeline?nd&n=200&r=trunk">http://www.sqlite.org/src/timeline?nd&n=200&r=trunk</a>
for a typical
example of such a report.  Generating such a report normally takes just
a few milliseconds.  But after upgrading to the NGQP we noticed that
this one report was taking closer to 10 seconds for the trunk of the
repository.</p>

<p>The core query used to generate the branch timeline is shown below.
(Readers are not expected to understand the details of this query.
Commentary will follow.)</p>

<blockquote><pre>
SELECT
     blob.rid AS blobRid,
     uuid AS uuid,
     datetime(event.mtime,'localtime') AS timestamp,
     coalesce(ecomment, comment) AS comment,
     coalesce(euser, user) AS user,
     blob.rid IN leaf AS leaf,
     bgcolor AS bgColor,
     event.type AS eventType,
     (SELECT group_concat(substr(tagname,5), ', ')
        FROM tag, tagxref
       WHERE tagname GLOB 'sym-*'
         AND tag.tagid=tagxref.tagid
         AND tagxref.rid=blob.rid
         AND tagxref.tagtype>0) AS tags,
     tagid AS tagid,
     brief AS brief,
     event.mtime AS mtime
  FROM event CROSS JOIN blob
 WHERE blob.rid=event.objid
   AND (EXISTS(SELECT 1 FROM tagxref
                WHERE tagid=11 AND tagtype>0 AND rid=blob.rid)
        OR EXISTS(SELECT 1 FROM plink JOIN tagxref ON rid=cid
                   WHERE tagid=11 AND tagtype>0 AND pid=blob.rid)
        OR EXISTS(SELECT 1 FROM plink JOIN tagxref ON rid=pid
                   WHERE tagid=11 AND tagtype>0 AND cid=blob.rid))
 ORDER BY event.mtime DESC
 LIMIT 200;
</pre></blockquote>

<p>This query is not
especially complicated, but even so it replaces hundreds or 
perhaps thousands of lines of procedural code.
The gist of the query is this:  Scan down the EVENT table looking
for the most recent 200 check-ins that satisfy any one of three conditions:

</p><p></p><ol>
<li> The check-in has a "trunk" tag.
</li><li> The check-in has a child that has a "trunk" tag.
</li><li> The check-in has a parent that has a "trunk" tag.
</li></ol>

<p>
The first condition causes all of the trunk check-ins to be displayed and
the second and third cause check-ins that merge into or fork from
the trunk to also be included.
The three conditions are implemented by the three OR-connected
EXISTS statements in the WHERE clause of the query.
The slowdown that occurred with the NGQP was caused by the second and
third conditions.  The problem is the same in each, so we will examine
just the second one.
The subquery of the second condition can be rewritten (with minor
and immaterial simplifications) as follows:</p>

<blockquote><pre>
SELECT 1
  FROM plink JOIN tagxref ON tagxref.rid=plink.cid
 WHERE tagxref.tagid=$trunk
   AND plink.pid=$ckid;
</pre></blockquote>

<p>The PLINK table holds parent-child relationships between
check-ins.  The TAGXREF table maps tags into check-ins.
For reference, the relevant portions of the schemas
for these two tables is shown here:</p>

<blockquote><pre>
CREATE TABLE plink(
  pid INTEGER REFERENCES blob,
  cid INTEGER REFERENCES blob
);
CREATE UNIQUE INDEX plink_i1 ON plink(pid,cid);

CREATE TABLE tagxref(
  tagid INTEGER REFERENCES tag,
  mtime TIMESTAMP,
  rid INTEGER REFERENCE blob,
  UNIQUE(rid, tagid)
);
CREATE INDEX tagxref_i1 ON tagxref(tagid, mtime);
</pre></blockquote>

<p>There are only two reasonable ways to implement this query.
(There are many other possible algorithms, but none of the
others are contenders for being the "best" algorithm.)</p>

<ol type="1">
<li value="1"><p>
Find all children of check-in $ckid and test each one to see if
it has the $trunk tag.
</p></li><li value="2"><p>
Find all check-ins with the $trunk tag and test each one to see if
it is a child of $ckid.
</p></li></ol>

<p>
Intuitively, we humans understand that algorithm-1 is best.
Each check-in is likely to have few children (one child is
the most common case) and each child can be tested for the
$trunk tag in logarithmic time.  Indeed, algorithm-1 is the
faster choice in practice.  But the NGQP has no intuition.  The
NGQP must use hard math, and algorithm-2 is slightly
better mathematically.  This is because, in the absence of other information,
the NGQP must assume that the indexes PLINK_I1 and TAGXREF_I1 are of
equal quality and are equally selective.  Algorithm-2 uses one field
of the TAGXREF_I1 index and both fields of the PLINK_I1 index whereas
algorithm-1 only uses the first field of each index.  Since 
algorithm-2 uses more index material, the NGQP is correct
to judge it to be the better algorithm.  The scores are close and
algorithm-2 just barely squeaks ahead of algorithm-1.  But
algorithm-2 really is the correct choice here.
</p>

<p>
Unfortunately, algorithm-2 is slower than algorithm-1 in
this application.
</p>

<p>
The problem is that the indexes are not of equal quality.
A check-in is likely to only have one child.  So the first
field of PLINK_I1 will usually narrow down the search to just a single
row.  But there are thousands and thousands check-ins tagged with "trunk", 
so the first field of TAGXREF_I1 will be
of little help in narrowing down the search.
</p>

<p>
The NGQP has no way of knowing that TAGXREF_I1 is almost useless in this
query, unless <a href="lang_analyze.html">ANALYZE</a> has been run on the database.  The <a href="lang_analyze.html">ANALYZE</a> command
gathers statistics on the quality of the various indexes and stores those
statistics in <a href="fileformat2.html#stat1tab">SQLITE_STAT1</a> table.  
Having access to this statistical information,
the NGQP easily chooses algorithm-1 as the best algorithm, by a wide
margin.</p>

<p>Why didn't the legacy query planner choose algorithm-2?
Easy: because the NN algorithm
never even considered algorithm-2.  Graphs of the planning
problem look like this:</p>

<center>
<img src="images/qp/fqp1.gif">
</center>

<p>
In the "without ANALYZE" case on the left, the NN algorithm chooses 
loop P (PLINK) as the outer loop because 4.9 is less than 5.2, resulting
in path P-T which is algorithm-1. NN only looks at the single best choice
at each step so it completely misses the fact that 
5.2+4.4 makes a slightly cheaper plan than 4.9+4.8. But the N3 algorithm
keeps track of the 5 best paths for a 2-way join, so it ends up
selecting path T-P because of its slightly lower overall cost.
Path T-P is algorithm-2.
</p>

<p>
Note that with ANALYZE the cost estimates are
better aligned with reality and algorithm-1 is 
selected by both NN and N3.
</p>

<p>(Side note:  The costs estimates in the two most recent graphs 
were computed by the NGQP using a base-2 logarithm and slightly different
cost assumptions compared to the legacy query planner.  
Hence, the cost estimates in
these latter two graphs are not directly comparable to the cost estimates
in the TPC-H Q8 graph.)</p>

<h2 id="_fixing_the_problem"><span>4.2. </span> Fixing The Problem</h2>

<p>Running <a href="lang_analyze.html">ANALYZE</a> on the repository database immediately fixed the
performance problem.  However, we want Fossil to be robust and to always
work quickly regardless of whether or not its repository has been analyzed.
For this reason, the query was modified to use the CROSS JOIN operator 
instead of the plain JOIN operator.
SQLite will not reorder the tables of a CROSS JOIN.
This is a long-standing feature of SQLite that is specifically designed
to allow knowledgeable programmers
to enforce a particular loop nesting order.  Once the join
was changed to CROSS JOIN (the addition of a single keyword) the NGQP was
forced to choose the faster algorithm-1 regardless of whether or not
statistical information had been gathered using ANALYZE.</p>

<p>We say that algorithm-1 is "faster", but this
is not strictly true.  Algorithm-1 is faster in common repositories, but
it is possible to construct a repository in which
every check-in is on a different uniquely-named branch and
all check-ins are children of the root check-in.
In that case, TAGXREF_I1 would become more selective
than PLINK_I1 and algorithm-2 really would be the faster choice.
However such repositories are very unlikely to appear in
practice and so hard-coding the loop nested order using the
CROSS JOIN syntax is a reasonable solution
to the problem in this case.</p>

<a name="howtofix"></a>

<h1 id="_checklist_for_avoiding_or_fixing_query_planner_problems"><span>5. </span> Checklist For Avoiding Or Fixing Query Planner Problems</h1>

<ol>
<li><p><b>Don't panic!</b>
Cases where the query planner picks an inferior plan are actually quite
rare.  You are unlikely to run across any problems in your application.
If you are not having performance issues, you do not need to worry
about any of this.</p>

</li><li><p><b>Create appropriate indexes.</b>
Most SQL performance problems arise not because of query planner issues
but rather due to lack of appropriate indexes.  Make sure indexes are
available to assist all large queries.  Most performance issues can be
resolved by one or two CREATE INDEX commands and with no changes to
application code.</p>

</li><li><p><b>Avoid creating low-quality indexes.</b>.
A low-quality index (for the purpose of this checklist) is one where
there are more than 10 or 20 rows in the table that have the same value
for the left-most column of the index.  In particular, avoid using
boolean or "enum" columns as the left-most columns of your indexes.</p>

<p>The Fossil performance problem described in the previous section of
this document arose because there were over
ten-thousand entries in the TAGXREF table with the same value for the 
left-most column (the TAGID column) of the TAGXREF_I1 index.</p>

</li><li><p><b>If you must use a low-quality index, be sure to run <a href="lang_analyze.html">ANALYZE</a>.</b>
Low-quality indexes will not confuse the query planner as long as the
query planner knows that the indexes are of low quality.  And the way
the query planner knows this is by the content of the <a href="fileformat2.html#stat1tab">SQLITE_STAT1</a> table,
which is computed by the ANALYZE command.</p>

<p>Of course, ANALYZE only works effectively if you have a significant 
amount of content in your database in the first place.  When creating a 
new database that you expect to accumulate a lot of data, you can run 
the command "ANALYZE sqlite_schema" to create the SQLITE_STAT1 table,
then prepopulate the SQLITE_STAT1 table (using ordinary INSERT statements)
with content that describes a typical
database for your application - perhaps content that you extracted after
running ANALYZE on a well-populated template database in the lab.</p>

</li><li><p><b>Instrument your code.</b>
Add logic that lets you know quickly and easily which queries are taking
too much time.  Then work on just those specific queries.</p>

</li><li><p><b>Use <a href="lang_corefunc.html#unlikely">unlikely()</a> and <a href="lang_corefunc.html#likelihood">likelihood()</a> SQL functions.</b>
SQLite normally assumes that terms in the WHERE clause that cannot be used
by indexes have a strong probability of being true.  If this assumption
is incorrect, it could lead to a suboptimal query plan.  The
<a href="lang_corefunc.html#unlikely">unlikely()</a> and <a href="lang_corefunc.html#likelihood">likelihood()</a> SQL functions can be used to provide
hints to the query planner about WHERE clause terms that are probably
not true, and thus aid the query planner in selecting the best possible
plan.

</p></li><li><p><b>Use the <a href="optoverview.html#crossjoin">CROSS JOIN</a> syntax to enforce a particular
loop nesting order on queries that might use low-quality indexes in an
unanalyzed database.</b>
SQLite <a href="lang_select.html#crossjoin">treats the CROSS JOIN operator specially</a>, forcing the table to 
the left to be an outer loop relative to the table on the right.</p>

<p>Avoid this step if possible, as it defeats one of the huge advantages
of the whole SQL language concept, specifically that the application 
programmer does not need to get involved with query planning.  If you
do use CROSS JOIN, wait until late in your development cycle to do so,
and comment the use of CROSS JOIN carefully so that you can take it out
later if possible.  Avoid using CROSS JOIN early in the development
cycle as doing so is a premature optimization, which is well known to
be <a href="http://c2.com/cgi/wiki?PrematureOptimization">the root of
all evil</a>.</p>

</li><li><p><b>Use unary "+" operators to disqualify WHERE clause terms.</b>
If the query planner insists on selecting a poor-quality index for a particular
query when a much higher-quality index is available, then
<a href="optoverview.html#uplus">careful use of unary "+" operators</a> in the WHERE clause
can force the query planner away from the poor-quality index.
Avoid using this trick if at all possible, and especially avoid it
early in the application development cycle.  Beware that
adding a unary "+" operator to an equality expression might change
the result of that expression if 
<a href="datatype3.html#affinity">type affinity</a> is involved.</p>

</li><li><p><b>Use the <a href="lang_indexedby.html">INDEXED BY</a> syntax to enforce the selection of
particular indexes on problem queries.</b>
As with the previous two bullets, avoid this step if possible, and 
especially avoid doing this early in development as it is clearly a
premature optimization.</p>
</li></ol>

<h1 id="_summary"><span>6. </span> Summary</h1>

<p>The query planner in SQLite normally does a terrific job of selecting
fast algorithms for running your SQL statements.  This is true of the 
legacy query planner and even more true of the new NGQP.  There may be
an occasional situation where, due to incomplete information, the query
planner selects a suboptimal plan.  This will happen less often with the
NGQP than with the legacy query planner, but it might still happen.  Only
in those rare cases do application developers need to get involved and
help the query planner to do the right thing.  In the common case, the
NGQP is just a new enhancement to SQLite that makes the application run
a little faster and which requires no new developer thought or action.</p>