<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom" xmlns:content="http://purl.org/rss/1.0/modules/content/" xmlns:dc="http://purl.org/dc/elements/1.1/"><channel><title>Indexes on Opensource internals</title><link>https://articles.9j.nz/tags/indexes/</link><description>Posts filed under Indexes on Opensource internals.</description><generator>Hugo</generator><language>en-US</language><managingEditor>Jay Hubbert</managingEditor><lastBuildDate>Wed, 21 Oct 2026 09:00:00 +0000</lastBuildDate><atom:link href="https://articles.9j.nz/tags/indexes/index.xml" rel="self" type="application/rss+xml"/><item><title>ClickHouse Skips Data: Granules, Marks, and Bit-Packed Indexes</title><link>https://articles.9j.nz/posts/how-clickhouse-skips-granules-with-marks-and-bit-packed-indexes/</link><pubDate>Wed, 21 Oct 2026 09:00:00 +0000</pubDate><dc:creator>Jay Hubbert</dc:creator><guid isPermaLink="true">https://articles.9j.nz/posts/how-clickhouse-skips-granules-with-marks-and-bit-packed-indexes/</guid><category>clickhouse</category><category>performance</category><category>internals</category><category>merge-tree</category><category>storage-engine</category><category>indexes</category><description>ClickHouse chops parts into granules, records a bit-packed mark per granule, and trims the primary key index so a query only reads the granules it can need.</description><content:encoded>&lt;blockquote&gt;&#10;&lt;p&gt;&lt;strong&gt;TL;DR:&lt;/strong&gt; A MergeTree scan isn&amp;rsquo;t a full scan. Parts are cut into&#10;granules, each granule gets a bit-packed mark, and the primary key index&#10;stores one key value per granule — so ClickHouse can &lt;em&gt;prove&lt;/em&gt; a granule&#10;can&amp;rsquo;t match and skip it entirely.&lt;/p&gt;&#10;&lt;/blockquote&gt;&#10;&lt;p&gt;A &lt;code&gt;SELECT&lt;/code&gt; on a MergeTree table is, mechanically, a scan of a set of files.&#10;The only reason it isn&amp;rsquo;t a &lt;em&gt;full&lt;/em&gt; scan is that the files are chopped into&#10;pieces, and each piece carries enough metadata for the engine to prove that&#10;the piece cannot contain a matching row.&lt;/p&gt;&#10;&lt;p&gt;ClickHouse calls those pieces &lt;strong&gt;granules&lt;/strong&gt;, the metadata is called a&#10;&lt;strong&gt;mark&lt;/strong&gt;, and the mechanism that ties them together is the &lt;strong&gt;primary key&#10;index&lt;/strong&gt; — one key value per granule, held in memory.&lt;/p&gt;&#10;&lt;p&gt;This is the single most important performance idea in MergeTree, and it&amp;rsquo;s&#10;built out of three small, very specific tricks:&lt;/p&gt;&#10;&lt;ol&gt;&#10;&lt;li&gt;Granules are sized in &lt;strong&gt;bytes&lt;/strong&gt;, not rows, so a granule of fat rows isn&amp;rsquo;t&#10;a granule of a million rows.&lt;/li&gt;&#10;&lt;li&gt;Marks are &lt;strong&gt;bit-packed&lt;/strong&gt; in memory — three bytes per mark for an integer&#10;column, instead of the sixteen bytes a naive &lt;code&gt;{offset, offset_in_block}&lt;/code&gt;&#10;pair would take.&lt;/li&gt;&#10;&lt;li&gt;The primary key index is &lt;strong&gt;trimmed&lt;/strong&gt;: if a key column is nearly constant&#10;within a part, the key columns &lt;em&gt;after&lt;/em&gt; it aren&amp;rsquo;t kept in memory at all,&#10;because they can&amp;rsquo;t narrow anything down.&lt;/li&gt;&#10;&lt;/ol&gt;&#10;&lt;h2 id="granules-sized-in-bytes-not-rows"&gt;Granules: sized in bytes, not rows&lt;/h2&gt;&#10;&lt;p&gt;The classic description of MergeTree granularity is &amp;ldquo;8192 rows&amp;rdquo;, and that&amp;rsquo;s&#10;the default value of the &lt;code&gt;index_granularity&lt;/code&gt; setting. But that&amp;rsquo;s only the&#10;&lt;em&gt;cap&lt;/em&gt;. The actual mechanism computes the number of rows per granule from the&#10;size of the data being written:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Storages/MergeTree/MergeTreeIndexGranularity.cpp:115&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="nf"&gt;computeIndexGranularity&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;rows&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;bytes_uncompressed&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;index_granularity_bytes&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;fixed_index_granularity_rows&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="kt"&gt;bool&lt;/span&gt; &lt;span class="n"&gt;blocks_are_granules&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="kt"&gt;bool&lt;/span&gt; &lt;span class="n"&gt;can_use_adaptive_index_granularity&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;index_granularity_for_block&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;!&lt;/span&gt;&lt;span class="n"&gt;can_use_adaptive_index_granularity&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;index_granularity_for_block&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;fixed_index_granularity_rows&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;else&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;blocks_are_granules&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;index_granularity_for_block&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;rows&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;index_granularity_bytes&lt;/span&gt; &lt;span class="o"&gt;!=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;bytes_uncompressed&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;=&lt;/span&gt; &lt;span class="n"&gt;index_granularity_bytes&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// index_granularity_bytes == 0 disables adaptive sizing upstream, so this branch is&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// unreachable with a zero divisor; the explicit check makes that visible to static analysis.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;granules_in_block&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;bytes_uncompressed&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="n"&gt;index_granularity_bytes&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;index_granularity_for_block&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;rows&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="n"&gt;granules_in_block&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;else&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;size_of_row_in_bytes&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;max&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;bytes_uncompressed&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="n"&gt;rows&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1UL&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;index_granularity_for_block&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;index_granularity_bytes&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="n"&gt;size_of_row_in_bytes&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// We should be less or equal than fixed index granularity.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// But if block size is a granule size then do not adjust it.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// Granularity greater than fixed granularity might come from compact part.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;!&lt;/span&gt;&lt;span class="n"&gt;blocks_are_granules&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;index_granularity_for_block&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;min&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;fixed_index_granularity_rows&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;index_granularity_for_block&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// Very rare case when index granularity bytes less than single row.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;index_granularity_for_block&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;index_granularity_for_block&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;index_granularity_for_block&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;}&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;Read the interesting branch — the &lt;code&gt;else&lt;/code&gt; at the bottom. If the block is&#10;smaller than &lt;code&gt;index_granularity_bytes&lt;/code&gt;, then&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;text&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-text" data-lang="text"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; rows_per_granule = index_granularity_bytes / average_row_size&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;&lt;strong&gt;The granule stays a constant number of bytes.&lt;/strong&gt; The default&#10;&lt;code&gt;index_granularity_bytes&lt;/code&gt; is 10 MB, so a granule is 10 MB of data whether&#10;its rows are 10 bytes wide or 10 KB wide.&lt;/p&gt;&#10;&lt;p&gt;Why does that matter? Because a granule is the &lt;em&gt;unit of skipping&lt;/em&gt;. If&#10;granules were a fixed 8192 rows, then a table of 1 KB rows would have 8 MB&#10;granules (fine), but a table of 100 KB rows would have 800 MB granules&#10;(useless — you can&amp;rsquo;t skip anything smaller than 800 MB). Sizing in bytes&#10;makes the granule a predictable, bounded amount of IO, and therefore a&#10;predictable, bounded amount of &lt;em&gt;waste&lt;/em&gt; when you have to read a granule that&#10;does contain matches.&lt;/p&gt;&#10;&lt;p&gt;The price is that the row count of a granule is no longer constant, so it&#10;has to be remembered. The adaptive granularity object stores &lt;em&gt;partial sums&lt;/em&gt;:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Storages/MergeTree/MergeTreeIndexGranularityAdaptive.h:9&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;/// Class that stores adaptive index granularity.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;/// Inside it contains vector of partial sums of rows after mark:&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;/// |-----|---|----|----|&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;/// | 5 | 8 | 12 | 16 |&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="k"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;MergeTreeIndexGranularityAdaptive&lt;/span&gt; &lt;span class="k"&gt;final&lt;/span&gt; &lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="k"&gt;public&lt;/span&gt; &lt;span class="n"&gt;MergeTreeIndexGranularity&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;One &lt;code&gt;size_t&lt;/code&gt; per mark, and the row count of any mark is a subtraction. The&#10;alternative — a constant number of rows per granule — is available as&#10;&lt;code&gt;use_const_adaptive_granularity&lt;/code&gt;, and its setting description explains the&#10;trade-off exactly:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Storages/MergeTree/MergeTreeSettings.cpp:2174&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;DECLARE&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;Bool&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;use_const_adaptive_granularity&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nb"&gt;false&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;R&lt;/span&gt;&lt;span class="s"&gt;&amp;#34;(&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="n"&gt;Non&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="k"&gt;const&lt;/span&gt; &lt;span class="n"&gt;adaptive&lt;/span&gt; &lt;span class="n"&gt;granularity&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;the&lt;/span&gt; &lt;span class="k"&gt;default&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="err"&gt;`&lt;/span&gt;&lt;span class="n"&gt;index_granularity_bytes&lt;/span&gt;&lt;span class="err"&gt;`&lt;/span&gt; &lt;span class="n"&gt;is&lt;/span&gt; &lt;span class="n"&gt;not&lt;/span&gt; &lt;span class="err"&gt;`&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="err"&gt;`&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="n"&gt;keeps&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="n"&gt;granules&lt;/span&gt; &lt;span class="n"&gt;at&lt;/span&gt; &lt;span class="n"&gt;a&lt;/span&gt; &lt;span class="n"&gt;constant&lt;/span&gt; &lt;span class="n"&gt;size&lt;/span&gt; &lt;span class="n"&gt;in&lt;/span&gt; &lt;span class="n"&gt;bytes&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;so&lt;/span&gt; &lt;span class="n"&gt;their&lt;/span&gt; &lt;span class="n"&gt;row&lt;/span&gt; &lt;span class="n"&gt;count&lt;/span&gt; &lt;span class="nl"&gt;varies&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;every&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="n"&gt;written&lt;/span&gt; &lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;rows&lt;/span&gt; &lt;span class="n"&gt;per&lt;/span&gt; &lt;span class="n"&gt;granule&lt;/span&gt; &lt;span class="n"&gt;is&lt;/span&gt; &lt;span class="err"&gt;`&lt;/span&gt;&lt;span class="n"&gt;index_granularity_bytes&lt;/span&gt;&lt;span class="err"&gt;`&lt;/span&gt; &lt;span class="n"&gt;divided&lt;/span&gt; &lt;span class="n"&gt;by&lt;/span&gt; &lt;span class="n"&gt;the&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="n"&gt;average&lt;/span&gt; &lt;span class="n"&gt;size&lt;/span&gt; &lt;span class="n"&gt;of&lt;/span&gt; &lt;span class="n"&gt;a&lt;/span&gt; &lt;span class="n"&gt;row&lt;/span&gt; &lt;span class="n"&gt;in&lt;/span&gt; &lt;span class="n"&gt;that&lt;/span&gt; &lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;capped&lt;/span&gt; &lt;span class="n"&gt;at&lt;/span&gt; &lt;span class="err"&gt;`&lt;/span&gt;&lt;span class="n"&gt;index_granularity&lt;/span&gt;&lt;span class="err"&gt;`&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt; &lt;span class="n"&gt;Because&lt;/span&gt; &lt;span class="n"&gt;it&lt;/span&gt; &lt;span class="n"&gt;differs&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="n"&gt;from&lt;/span&gt; &lt;span class="n"&gt;granule&lt;/span&gt; &lt;span class="n"&gt;to&lt;/span&gt; &lt;span class="n"&gt;granule&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;the&lt;/span&gt; &lt;span class="n"&gt;row&lt;/span&gt; &lt;span class="n"&gt;count&lt;/span&gt; &lt;span class="n"&gt;of&lt;/span&gt; &lt;span class="n"&gt;every&lt;/span&gt; &lt;span class="n"&gt;granule&lt;/span&gt; &lt;span class="n"&gt;in&lt;/span&gt; &lt;span class="n"&gt;the&lt;/span&gt; &lt;span class="n"&gt;part&lt;/span&gt; &lt;span class="n"&gt;has&lt;/span&gt; &lt;span class="n"&gt;to&lt;/span&gt; &lt;span class="n"&gt;be&lt;/span&gt; &lt;span class="n"&gt;kept&lt;/span&gt; &lt;span class="n"&gt;in&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="n"&gt;memory&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;8&lt;/span&gt; &lt;span class="n"&gt;bytes&lt;/span&gt; &lt;span class="n"&gt;each&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;which&lt;/span&gt; &lt;span class="n"&gt;on&lt;/span&gt; &lt;span class="n"&gt;large&lt;/span&gt; &lt;span class="n"&gt;tables&lt;/span&gt; &lt;span class="n"&gt;adds&lt;/span&gt; &lt;span class="n"&gt;up&lt;/span&gt; &lt;span class="n"&gt;to&lt;/span&gt; &lt;span class="n"&gt;tens&lt;/span&gt; &lt;span class="n"&gt;of&lt;/span&gt; &lt;span class="n"&gt;gigabytes&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;&amp;ldquo;Tens of gigabytes&amp;rdquo; — that&amp;rsquo;s the cost of the byte-granularity guarantee, and&#10;it&amp;rsquo;s the reason the constant-row variant exists at all. On a table with 100&#10;million parts × 100 marks each, 8 bytes per mark is 80 GB of pure&#10;bookkeeping.&lt;/p&gt;&#10;&lt;p&gt;The marks themselves are appended as the block is written:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Storages/MergeTree/MergeTreeIndexGranularity.cpp:162&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="kt"&gt;void&lt;/span&gt; &lt;span class="nf"&gt;fillIndexGranularityForWidePart&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;MergeTreeIndexGranularity&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;index_granularity&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;index_offset&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;index_granularity_for_block&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;rows_in_block&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;current_row&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;index_offset&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="n"&gt;current_row&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;rows_in_block&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="n"&gt;current_row&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="n"&gt;index_granularity_for_block&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;index_granularity&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;appendMark&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;index_granularity_for_block&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;}&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;A &lt;code&gt;Wide&lt;/code&gt; part gets exactly &lt;code&gt;index_granularity_for_block&lt;/code&gt; rows per mark. A&#10;&lt;code&gt;Compact&lt;/code&gt; part, where all columns share one file, has to be more careful:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Storages/MergeTree/MergeTreeIndexGranularity.cpp:169&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="kt"&gt;void&lt;/span&gt; &lt;span class="nf"&gt;fillIndexGranularityForCompactPart&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;MergeTreeIndexGranularity&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;index_granularity&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;index_offset&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;index_granularity_for_block&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;rows_in_block&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;current_row&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;index_offset&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="n"&gt;current_row&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;rows_in_block&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="n"&gt;current_row&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="n"&gt;index_granularity_for_block&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;rows_left_in_block&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;rows_in_block&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;current_row&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// Try to extend last granule if block is large enough&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// or it isn&amp;#39;t first in granule (index_offset != 0).&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;rows_left_in_block&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;index_granularity_for_block&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;rows_in_block&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;=&lt;/span&gt; &lt;span class="n"&gt;index_granularity_for_block&lt;/span&gt; &lt;span class="o"&gt;||&lt;/span&gt; &lt;span class="n"&gt;index_offset&lt;/span&gt; &lt;span class="o"&gt;!=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;// If enough rows are left, create a new granule. Otherwise, extend previous granule.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;// So, real size of granule differs from index_granularity_for_block not more than 50%.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;rows_left_in_block&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;=&lt;/span&gt; &lt;span class="n"&gt;index_granularity_for_block&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;index_granularity&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;appendMark&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;rows_left_in_block&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;else&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;index_granularity&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;addRowsToLastMark&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;rows_left_in_block&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;else&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;index_granularity&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;appendMark&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;index_granularity_for_block&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;}&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;The comment &amp;ldquo;real size of granule differs from &lt;code&gt;index_granularity_for_block&lt;/code&gt;&#10;not more than 50%&amp;rdquo; is the invariant: a short tail is either given its own&#10;granule (if it&amp;rsquo;s at least half a granule) or merged into the previous one.&lt;/p&gt;&#10;&lt;h2 id="marks-where-in-the-file-does-each-granule-start"&gt;Marks: where in the file does each granule start?&lt;/h2&gt;&#10;&lt;p&gt;A granule is a range of rows. To read it, you need to know where in the&#10;compressed &lt;code&gt;.bin&lt;/code&gt; file its rows live. That&amp;rsquo;s the mark:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Formats/MarkInCompressedFile.h:14&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt;/** Mark is the position in the compressed file. The compressed file consists of adjacent compressed blocks.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * Mark is a tuple - the offset in the file to the start of the compressed block, the offset in the decompressed block to the start of the data.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; */&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="k"&gt;struct&lt;/span&gt; &lt;span class="nc"&gt;MarkInCompressedFile&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;offset_in_compressed_file&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;offset_in_decompressed_block&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;Two numbers, both &lt;code&gt;size_t&lt;/code&gt;, so sixteen bytes per mark in the naive layout.&#10;For a part with 100 marks that&amp;rsquo;s nothing. For a table with 100 000 parts of&#10;1 GB each (100 TB), 100 marks per part × 16 bytes × 100 000 parts = 160 MB&#10;of index — and that&amp;rsquo;s only if &lt;em&gt;every&lt;/em&gt; mark of &lt;em&gt;every&lt;/em&gt; column is resident.&lt;/p&gt;&#10;&lt;p&gt;Which is why the in-memory representation isn&amp;rsquo;t a struct array:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Formats/MarkInCompressedFile.h:30&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt;/**&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * In-memory representation of an array of marks.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; *&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * Uses an ad-hoc compression scheme that decreases memory usage while allowing&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * random access in O(1) time.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * This is independent from the marks *file* format, which may be uncompressed&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * or use a different compression method.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; *&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * Typical memory usage:&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * * ~3 bytes/mark for integer columns&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * * ~5 bytes/mark for string columns&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * * ~0.3 bytes/mark for trivial marks in auxiliary dict files of LowCardinality columns&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; */&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="k"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;MarksInCompressedFile&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;Three bytes per mark. How?&lt;/p&gt;&#10;&lt;p&gt;The trick is that marks are &lt;em&gt;not&lt;/em&gt; random. The comment in the header spells&#10;out the regularities the compression exploits:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Formats/MarkInCompressedFile.h:51&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="cm"&gt;/** We need to store a sequence of marks, each consisting of two 64-bit integers:&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * offset_in_compressed_file and offset_in_decompressed_block. We&amp;#39;ll call them x and y for&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * convenience, since compression doesn&amp;#39;t care what they mean. The compression exploits the&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * following regularities:&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * * y is usually zero.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * * x usually increases steadily.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * * Differences between x values in nearby marks usually fit in much fewer than 64 bits.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; *&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * We split the sequence of marks into blocks, each containing MARKS_PER_BLOCK marks.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * (Not to be confused with data blocks.)&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * For each mark, we store the difference [value] - [min value in the block], for each of the&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * two values in the mark. Each block specifies the number of bits to use for these differences&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * for all marks in this block.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * The smaller the blocks the fewer bits are required, but the bigger the relative overhead of&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * block headers.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; *&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * Packed marks and block headers all live in one contiguous array.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; */&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;So: 256 marks per block. Per block, store the minimum &lt;code&gt;x&lt;/code&gt; and &lt;code&gt;y&lt;/code&gt; and the&#10;number of bits needed to represent the &lt;em&gt;spread&lt;/em&gt; within the block. Then store&#10;every mark as a delta from the block minimum, in that many bits.&lt;/p&gt;&#10;&lt;p&gt;The block header computation:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Formats/MarkInCompressedFile.cpp:122&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="kt"&gt;void&lt;/span&gt; &lt;span class="n"&gt;MarksInCompressedFile&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;Builder&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;flushBlock&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="k"&gt;const&lt;/span&gt; &lt;span class="n"&gt;MarkInCompressedFile&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;count&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;chassert&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;count&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;count&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;=&lt;/span&gt; &lt;span class="n"&gt;MARKS_PER_BLOCK&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;block_idx&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;marks_flushed&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="n"&gt;MARKS_PER_BLOCK&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;BlockInfo&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;block&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;blocks&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;block_idx&lt;/span&gt;&lt;span class="p"&gt;];&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;bit_offset_in_packed_array&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;packed_bits&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// Compute block metadata: min values, bit widths.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;max_x&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;max_y&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;count&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="o"&gt;++&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;min_x&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;min&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;min_x&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;].&lt;/span&gt;&lt;span class="n"&gt;offset_in_compressed_file&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;max_x&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;max&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;max_x&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;].&lt;/span&gt;&lt;span class="n"&gt;offset_in_compressed_file&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;min_y&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;min&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;min_y&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;].&lt;/span&gt;&lt;span class="n"&gt;offset_in_decompressed_block&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;max_y&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;max&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;max_y&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;].&lt;/span&gt;&lt;span class="n"&gt;offset_in_decompressed_block&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;trailing_zero_bits_in_y&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;min&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;trailing_zero_bits_in_y&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="k"&gt;static_cast&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;UInt8&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;getTrailingZeroBits&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;].&lt;/span&gt;&lt;span class="n"&gt;offset_in_decompressed_block&lt;/span&gt;&lt;span class="p"&gt;)));&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;bits_for_x&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;static_cast&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;UInt8&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="k"&gt;sizeof&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;size_t&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="mi"&gt;8&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;getLeadingZeroBits&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;max_x&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;min_x&lt;/span&gt;&lt;span class="p"&gt;));&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;bits_for_y&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;static_cast&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;UInt8&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="k"&gt;sizeof&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;size_t&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="mi"&gt;8&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;getLeadingZeroBits&lt;/span&gt;&lt;span class="p"&gt;((&lt;/span&gt;&lt;span class="n"&gt;max_y&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;min_y&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;trailing_zero_bits_in_y&lt;/span&gt;&lt;span class="p"&gt;));&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;Two ideas in six lines.&lt;/p&gt;&#10;&lt;p&gt;&lt;strong&gt;Delta encoding per block.&lt;/strong&gt; &lt;code&gt;bits_for_x&lt;/code&gt; is the number of bits needed to&#10;represent the &lt;em&gt;range&lt;/em&gt; of &lt;code&gt;x&lt;/code&gt; values inside the block, not the magnitude of&#10;&lt;code&gt;x&lt;/code&gt; itself. If a block of 256 marks spans 64 KB of compressed file, that&amp;rsquo;s&#10;19 bits per mark, not 64.&lt;/p&gt;&#10;&lt;p&gt;&lt;strong&gt;Trailing-zero stripping for &lt;code&gt;y&lt;/code&gt;.&lt;/strong&gt; &lt;code&gt;y&lt;/code&gt; is the offset inside the&#10;&lt;em&gt;decompressed&lt;/em&gt; block, and it&amp;rsquo;s usually zero — a granule normally starts at&#10;the beginning of a compressed block. The code computes the number of trailing&#10;zero bits common to all the &lt;code&gt;y&lt;/code&gt; values in the block and shifts them all right&#10;by that amount before packing. For a block where every &lt;code&gt;y&lt;/code&gt; is zero, the&#10;shift is 63 and &lt;code&gt;bits_for_y&lt;/code&gt; becomes zero: &lt;strong&gt;the &lt;code&gt;y&lt;/code&gt; coordinate costs no bits&#10;at all.&lt;/strong&gt;&lt;/p&gt;&#10;&lt;p&gt;The write path, showing both encodings:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Formats/MarkInCompressedFile.cpp:153&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// Write bit-packed deltas.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;bit_offset&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;packed_bits&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;count&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="o"&gt;++&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;writeBitsPacked64&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;packed&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;(),&lt;/span&gt; &lt;span class="n"&gt;bit_offset&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;].&lt;/span&gt;&lt;span class="n"&gt;offset_in_compressed_file&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;min_x&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;writeBitsPacked64&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;packed&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;(),&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;bit_offset&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;bits_for_x&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;].&lt;/span&gt;&lt;span class="n"&gt;offset_in_decompressed_block&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;min_y&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;trailing_zero_bits_in_y&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;bit_offset&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;bits_for_x&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;bits_for_y&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;And the read path, which has to be O(1) — a mark lookup happens for every&#10;granule the reader touches:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Formats/MarkInCompressedFile.cpp:47&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;tuple&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="k"&gt;const&lt;/span&gt; &lt;span class="n"&gt;MarksInCompressedFile&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;BlockInfo&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;size_t&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;MarksInCompressedFile&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;lookUpMark&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;idx&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;const&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;block_idx&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;idx&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="n"&gt;MARKS_PER_BLOCK&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;const&lt;/span&gt; &lt;span class="n"&gt;BlockInfo&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;block&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;blocks&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;block_idx&lt;/span&gt;&lt;span class="p"&gt;];&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;offset&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;bit_offset_in_packed_array&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;idx&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;block_idx&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;MARKS_PER_BLOCK&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;bits_for_x&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;bits_for_y&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="o"&gt;&amp;amp;&lt;/span&gt;&lt;span class="n"&gt;block&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;offset&lt;/span&gt;&lt;span class="p"&gt;};&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;}&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;Divide by 256 to find the block header, then a shift-and-mask to find the&#10;mark inside it. That&amp;rsquo;s the whole random-access structure: one array division&#10;and one multiply. Compare that to a compressed &lt;em&gt;list&lt;/em&gt; of marks, which would&#10;need a binary search.&lt;/p&gt;&#10;&lt;h3 id="where-do-the-marks-come-from-at-write-time"&gt;Where do the marks come from at write time?&lt;/h3&gt;&#10;&lt;p&gt;The mark is written when the compressed block is flushed, so it&amp;rsquo;s simply the&#10;state of the hashing/compression stream at that moment:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Storages/MergeTree/MergeTreeDataPartWriterOnDisk.cpp:351&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;MarkInCompressedFile&lt;/span&gt; &lt;span class="n"&gt;mark&lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;stream&lt;/span&gt;&lt;span class="o"&gt;-&amp;gt;&lt;/span&gt;&lt;span class="n"&gt;plain_hashing&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;count&lt;/span&gt;&lt;span class="p"&gt;(),&lt;/span&gt; &lt;span class="n"&gt;stream&lt;/span&gt;&lt;span class="o"&gt;-&amp;gt;&lt;/span&gt;&lt;span class="n"&gt;compressed_hashing&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;offset&lt;/span&gt;&lt;span class="p"&gt;()};&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;&lt;code&gt;plain_hashing.count()&lt;/code&gt; is the number of &lt;em&gt;uncompressed&lt;/em&gt; bytes written so&#10;far — that&amp;rsquo;s &lt;code&gt;y&lt;/code&gt;, the offset inside the decompressed block. And&#10;&lt;code&gt;compressed_hashing.offset()&lt;/code&gt; is the number of &lt;em&gt;compressed&lt;/em&gt; bytes written so&#10;far — that&amp;rsquo;s &lt;code&gt;x&lt;/code&gt;, the offset of the compressed block in the file.&lt;/p&gt;&#10;&lt;h3 id="the-mark-cache"&gt;The mark cache&lt;/h3&gt;&#10;&lt;p&gt;Marks are read from &lt;code&gt;.mrk&lt;/code&gt; files and cached in a global LRU keyed by the&#10;file path:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Storages/MergeTree/MergeTreeMarksLoader.cpp:313&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;mark_cache&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;auto&lt;/span&gt; &lt;span class="n"&gt;key&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;MarkCache&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;hash&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data_part_storage&lt;/span&gt;&lt;span class="o"&gt;-&amp;gt;&lt;/span&gt;&lt;span class="n"&gt;getDiskName&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="s"&gt;&amp;#34;:&amp;#34;&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;fs&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;path&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;data_part_storage&lt;/span&gt;&lt;span class="o"&gt;-&amp;gt;&lt;/span&gt;&lt;span class="n"&gt;getFullPath&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="n"&gt;mrk_path&lt;/span&gt;&lt;span class="p"&gt;).&lt;/span&gt;&lt;span class="n"&gt;string&lt;/span&gt;&lt;span class="p"&gt;());&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;save_marks_in_cache&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;auto&lt;/span&gt; &lt;span class="n"&gt;callback&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nf"&gt;loadMarksImpl&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt; &lt;span class="p"&gt;};&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;loaded_marks&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;mark_cache&lt;/span&gt;&lt;span class="o"&gt;-&amp;gt;&lt;/span&gt;&lt;span class="n"&gt;getOrSet&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;key&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;callback&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;else&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;loaded_marks&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;mark_cache&lt;/span&gt;&lt;span class="o"&gt;-&amp;gt;&lt;/span&gt;&lt;span class="n"&gt;getWithoutMetrics&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;key&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;!&lt;/span&gt;&lt;span class="n"&gt;loaded_marks&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;loaded_marks&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;loadMarksImpl&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;Note the two paths. &lt;code&gt;getOrSet&lt;/code&gt; records hits and misses and &lt;em&gt;inserts&lt;/em&gt; the&#10;loaded marks into the cache. &lt;code&gt;getWithoutMetrics&lt;/code&gt; only &lt;em&gt;looks&lt;/em&gt;: it&amp;rsquo;s used&#10;when the marks are wanted for a merge or a mutation, which shouldn&amp;rsquo;t evict&#10;the query&amp;rsquo;s working set or pollute the cache statistics.&lt;/p&gt;&#10;&lt;p&gt;That&amp;rsquo;s a small but real piece of cache hygiene — background work must not&#10;steal the cache from foreground queries.&lt;/p&gt;&#10;&lt;p&gt;The cache itself weights each entry by its &lt;em&gt;compressed&lt;/em&gt; size plus a fixed&#10;overhead:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Storages/MergeTree/MarkCache.h:23&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;/// Estimate of number of bytes in cache for marks.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="k"&gt;struct&lt;/span&gt; &lt;span class="nc"&gt;MarksWeightFunction&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// We spent additional bytes on key in hashmap, linked lists, shared pointers, etc ...&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;static&lt;/span&gt; &lt;span class="k"&gt;constexpr&lt;/span&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;MARK_CACHE_OVERHEAD&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;128&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="nf"&gt;operator&lt;/span&gt;&lt;span class="p"&gt;()(&lt;/span&gt;&lt;span class="k"&gt;const&lt;/span&gt; &lt;span class="n"&gt;MarksInCompressedFile&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;marks&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;const&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;marks&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;approximateMemoryUsage&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;MARK_CACHE_OVERHEAD&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;};&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;The 128-byte constant is the per-entry overhead of the hash map node, the&#10;list node, the shared pointer, and the &lt;code&gt;MarksInCompressedFile&lt;/code&gt; object&#10;itself. For a part with 100 marks, the compressed marks are ~300 bytes and&#10;the overhead is 128 — so the accounting is honest about the fact that the&#10;&lt;em&gt;bookkeeping&lt;/em&gt; dominates for small parts.&lt;/p&gt;&#10;&lt;h2 id="the-primary-key-index-one-key-value-per-granule"&gt;The primary key index: one key value per granule&lt;/h2&gt;&#10;&lt;p&gt;The marks tell you where the bytes are. The &lt;em&gt;primary key index&lt;/em&gt; tells you&#10;what&amp;rsquo;s in them. It&amp;rsquo;s a separate file, &lt;code&gt;primary.idx&lt;/code&gt;, containing the sorting&#10;key values of the &lt;strong&gt;first row of every granule&lt;/strong&gt;:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Storages/MergeTree/IMergeTreeDataPart.cpp:1935&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;shared_ptr&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;IMergeTreeDataPart&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;Index&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;IMergeTreeDataPart&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;loadIndex&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;const&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;auto&lt;/span&gt; &lt;span class="n"&gt;component_guard&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;Coordination&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;setCurrentComponent&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;&amp;#34;IMergeTreeDataPart::loadIndex&amp;#34;&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// Memory for index must not be accounted as memory usage for query, because it belongs to a table.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;MemoryTrackerBlockerInThread&lt;/span&gt; &lt;span class="n"&gt;temporarily_disable_memory_tracker&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;and the loop that reads it is the whole format — &lt;code&gt;marks_count&lt;/code&gt; rows of&#10;&lt;code&gt;key_size&lt;/code&gt; values, serialized one after another:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Storages/MergeTree/IMergeTreeDataPart.cpp:1972&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;FormatSettings&lt;/span&gt; &lt;span class="n"&gt;format_settings&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;marks_count&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="o"&gt;++&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;key_size&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="o"&gt;++&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;key_serializations&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;&lt;span class="o"&gt;-&amp;gt;&lt;/span&gt;&lt;span class="n"&gt;deserializeBinary&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="n"&gt;loaded_index&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="n"&gt;index_file&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;format_settings&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;&lt;code&gt;marks_count&lt;/code&gt; rows of &lt;code&gt;key_size&lt;/code&gt; values, serialized one after another. The&#10;in-memory form is a set of &lt;code&gt;ColumnPtr&lt;/code&gt;s — one column per key column, each&#10;holding &lt;code&gt;marks_count&lt;/code&gt; values — which is exactly the layout a &lt;code&gt;KeyCondition&lt;/code&gt;&#10;wants to evaluate a predicate against.&lt;/p&gt;&#10;&lt;h3 id="the-trimming-trick"&gt;The trimming trick&lt;/h3&gt;&#10;&lt;p&gt;Now the interesting part. The primary key may be &lt;code&gt;(a, b, c)&lt;/code&gt;. If &lt;code&gt;a&lt;/code&gt; is&#10;almost constant within a part — say, a low-cardinality column — then&#10;keeping &lt;code&gt;b&lt;/code&gt; and &lt;code&gt;c&lt;/code&gt; in memory is a waste. A query filtering on &lt;code&gt;b&lt;/code&gt; can&amp;rsquo;t be&#10;answered from the index anyway, because &lt;code&gt;a&lt;/code&gt; doesn&amp;rsquo;t narrow anything down. So&#10;the index is trimmed:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Storages/MergeTree/IMergeTreeDataPart.cpp:1895&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="kt"&gt;void&lt;/span&gt; &lt;span class="n"&gt;IMergeTreeDataPart&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;optimizeIndexColumns&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;marks_count&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;Columns&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;index_columns&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;const&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;marks_count&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;chassert&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;isEmpty&lt;/span&gt;&lt;span class="p"&gt;());&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;return&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// Do not optimize index for patch parts because patch parts&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// use manual index analysis which requires all index columns.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;info&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;isPatch&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;return&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;key_size&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;index_columns&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;size&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;Float64&lt;/span&gt; &lt;span class="n"&gt;ratio_to_drop_suffix_columns&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;static_cast&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="kt"&gt;double&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt;&lt;span class="p"&gt;((&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="n"&gt;storage&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;getSettings&lt;/span&gt;&lt;span class="p"&gt;())[&lt;/span&gt;&lt;span class="n"&gt;MergeTreeSetting&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;primary_key_ratio_of_unique_prefix_values_to_skip_suffix_columns&lt;/span&gt;&lt;span class="p"&gt;]);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// Cut useless suffix columns, if necessary.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;key_size&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;ratio_to_drop_suffix_columns&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;ratio_to_drop_suffix_columns&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;key_size&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="o"&gt;++&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;num_changes&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;marks_count&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="o"&gt;++&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="o"&gt;!=&lt;/span&gt; &lt;span class="n"&gt;index_columns&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;&lt;span class="o"&gt;-&amp;gt;&lt;/span&gt;&lt;span class="n"&gt;compareAt&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="n"&gt;index_columns&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="o"&gt;++&lt;/span&gt;&lt;span class="n"&gt;num_changes&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="k"&gt;static_cast&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;Float64&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;num_changes&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="k"&gt;static_cast&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;Float64&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;marks_count&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;=&lt;/span&gt; &lt;span class="n"&gt;ratio_to_drop_suffix_columns&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;key_size&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;index_columns&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;resize&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;key_size&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;break&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;The rule: while the fraction of granules in which key column &lt;code&gt;j&lt;/code&gt; &lt;em&gt;changes&lt;/em&gt;&#10;is at least &lt;code&gt;primary_key_ratio_of_unique_prefix_values_to_skip_suffix_columns&lt;/code&gt;&#10;(default 0.9), column &lt;code&gt;j&lt;/code&gt; is informative, so keep it and move on. The first&#10;column that changes in fewer than 90% of granules is &amp;ldquo;nearly constant&amp;rdquo; within&#10;this part — the part is probably all one value of it — and then everything&#10;after it is dropped.&lt;/p&gt;&#10;&lt;p&gt;&lt;strong&gt;This is a per-part decision.&lt;/strong&gt; A part that covers one day of data might&#10;have a constant &lt;code&gt;country&lt;/code&gt; column and a varying &lt;code&gt;user_id&lt;/code&gt;; the index keeps&#10;&lt;code&gt;country&lt;/code&gt; and drops &lt;code&gt;user_id&lt;/code&gt;. Another part, spanning many countries, keeps&#10;both.&lt;/p&gt;&#10;&lt;p&gt;The consequence is that index analysis must know which columns are actually&#10;available — and the code accounts for it, treating the missing suffix&#10;columns as &amp;ldquo;constant over the whole universe&amp;rdquo;, which relaxes the analysis to&#10;a safe over-approximation.&lt;/p&gt;&#10;&lt;h3 id="the-primary-index-cache"&gt;The primary index cache&lt;/h3&gt;&#10;&lt;p&gt;For very large tables, keeping every part&amp;rsquo;s primary index in memory isn&amp;rsquo;t&#10;possible, so it can be cached in an LRU instead:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Storages/MergeTree/PrimaryIndexCache.h:29&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt;/** Cache of primary index for MergeTree tables.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * Primary index is a list of columns from primary key&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; * that store first row for each granule of data part.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="cm"&gt; */&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="k"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;PrimaryIndexCache&lt;/span&gt; &lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="k"&gt;public&lt;/span&gt; &lt;span class="n"&gt;CacheBase&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;UInt128&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;PrimaryIndex&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;UInt128TrivialHash&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;PrimaryIndexWeightFunction&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;and the part consults it lazily:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Storages/MergeTree/IMergeTreeDataPart.cpp:706&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="n"&gt;IMergeTreeDataPart&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;IndexPtr&lt;/span&gt; &lt;span class="n"&gt;IMergeTreeDataPart&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;getIndex&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;const&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;scoped_lock&lt;/span&gt; &lt;span class="n"&gt;lock&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;index_mutex&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="k"&gt;auto&lt;/span&gt; &lt;span class="n"&gt;index_cache&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;storage&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;getPrimaryIndexCache&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;loadIndexToCache&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="n"&gt;index_cache&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;index&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;loadIndex&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;}&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;with the key being the disk name plus the part&amp;rsquo;s path, so that two parts&#10;with the same name on different disks don&amp;rsquo;t collide:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Storages/MergeTree/IMergeTreeDataPart.cpp:726&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="n"&gt;IMergeTreeDataPart&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;IndexPtr&lt;/span&gt; &lt;span class="n"&gt;IMergeTreeDataPart&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;loadIndexToCache&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;PrimaryIndexCache&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;index_cache&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;const&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;auto&lt;/span&gt; &lt;span class="n"&gt;key&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;PrimaryIndexCache&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;hash&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;getDataPartStorage&lt;/span&gt;&lt;span class="p"&gt;().&lt;/span&gt;&lt;span class="n"&gt;getDiskName&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="s"&gt;&amp;#34;:&amp;#34;&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;getRelativePathOfActivePart&lt;/span&gt;&lt;span class="p"&gt;());&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;auto&lt;/span&gt; &lt;span class="n"&gt;callback&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="k"&gt;this&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nf"&gt;loadIndex&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt; &lt;span class="p"&gt;};&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;index_cache&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;getOrSet&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;key&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;callback&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;}&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;h2 id="now-the-payoff-two-different-search-algorithms"&gt;Now the payoff: two different search algorithms&lt;/h2&gt;&#10;&lt;p&gt;With marks and the primary index in hand, a query has to answer &amp;ldquo;which&#10;granules can contain a matching row?&amp;rdquo;. ClickHouse has two algorithms for&#10;this, and it picks between them based on the &lt;em&gt;shape of the predicate&lt;/em&gt;.&lt;/p&gt;&#10;&lt;p&gt;The decision point is whether the predicate describes a &lt;em&gt;continuous&lt;/em&gt; range&#10;of the sorting key:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Storages/MergeTree/MergeTreeDataSelectExecutor.cpp:2705&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="kt"&gt;bool&lt;/span&gt; &lt;span class="n"&gt;key_condition_exact_range&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="o"&gt;!&lt;/span&gt;&lt;span class="n"&gt;key_condition_useful&lt;/span&gt; &lt;span class="o"&gt;||&lt;/span&gt; &lt;span class="n"&gt;key_condition&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;matchesExactContinuousRange&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="kt"&gt;bool&lt;/span&gt; &lt;span class="n"&gt;part_offset_condition_exact_range&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="o"&gt;!&lt;/span&gt;&lt;span class="n"&gt;part_offset_condition_useful&lt;/span&gt; &lt;span class="o"&gt;||&lt;/span&gt; &lt;span class="n"&gt;part_offset_condition&lt;/span&gt;&lt;span class="o"&gt;-&amp;gt;&lt;/span&gt;&lt;span class="n"&gt;matchesExactContinuousRange&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="kt"&gt;bool&lt;/span&gt; &lt;span class="n"&gt;total_offset_condition_exact_range&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="o"&gt;!&lt;/span&gt;&lt;span class="n"&gt;total_offset_condition_useful&lt;/span&gt; &lt;span class="o"&gt;||&lt;/span&gt; &lt;span class="n"&gt;total_offset_condition&lt;/span&gt;&lt;span class="o"&gt;-&amp;gt;&lt;/span&gt;&lt;span class="n"&gt;matchesExactContinuousRange&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;const&lt;/span&gt; &lt;span class="n"&gt;String&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;part_name&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;part&lt;/span&gt;&lt;span class="o"&gt;-&amp;gt;&lt;/span&gt;&lt;span class="n"&gt;isProjectionPart&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="o"&gt;?&lt;/span&gt; &lt;span class="n"&gt;fmt&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;format&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;&amp;#34;{}.{}&amp;#34;&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;part&lt;/span&gt;&lt;span class="o"&gt;-&amp;gt;&lt;/span&gt;&lt;span class="n"&gt;name&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;part&lt;/span&gt;&lt;span class="o"&gt;-&amp;gt;&lt;/span&gt;&lt;span class="n"&gt;getParentPart&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="o"&gt;-&amp;gt;&lt;/span&gt;&lt;span class="n"&gt;name&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;:&lt;/span&gt; &lt;span class="n"&gt;part&lt;/span&gt;&lt;span class="o"&gt;-&amp;gt;&lt;/span&gt;&lt;span class="n"&gt;name&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;!&lt;/span&gt;&lt;span class="n"&gt;key_condition_exact_range&lt;/span&gt; &lt;span class="o"&gt;||&lt;/span&gt; &lt;span class="o"&gt;!&lt;/span&gt;&lt;span class="n"&gt;part_offset_condition_exact_range&lt;/span&gt; &lt;span class="o"&gt;||&lt;/span&gt; &lt;span class="o"&gt;!&lt;/span&gt;&lt;span class="n"&gt;total_offset_condition_exact_range&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;// Do exclusion search, where we drop ranges that do not match&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;h3 id="algorithm-1-binary-search-continuous-range"&gt;Algorithm 1: binary search (continuous range)&lt;/h3&gt;&#10;&lt;p&gt;If the predicate describes a single continuous interval of the sorting key —&#10;&lt;code&gt;WHERE key &amp;gt;= 100 AND key &amp;lt; 200&lt;/code&gt; — then the matching granules form a&#10;contiguous range in the index, and two binary searches find its boundaries:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Storages/MergeTree/MergeTreeDataSelectExecutor.cpp:2801&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// Invariant: !check_in_range(part_range.begin..searched_left).can_be_true&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// check_in_range(part_range.begin..searched_right).can_be_true&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// (part_range.end + 1 is a sentinel out-of-bounds index, such that by definition&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// check_in_range(x..part_range.end+1).can_be_true is true. The binary search will never&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// actually call check_in_range with this out-of-bounds index.)&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// If the condition is not true anywhere, we&amp;#39;ll end up with searched_left == part_range.end.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;searched_left&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;part_range&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;begin&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;searched_right&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;part_range&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;end&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;while&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;searched_left&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;searched_right&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;const&lt;/span&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;middle&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;searched_left&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;searched_right&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;MarkRange&lt;/span&gt; &lt;span class="nf"&gt;range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;middle&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;check_in_range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;BoolMask&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;consider_only_can_be_true&lt;/span&gt;&lt;span class="p"&gt;).&lt;/span&gt;&lt;span class="n"&gt;can_be_true&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;searched_right&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;middle&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;else&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;searched_left&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;middle&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="o"&gt;++&lt;/span&gt;&lt;span class="n"&gt;steps&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;result_range&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;begin&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;searched_left&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;LOG_TEST&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;log&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s"&gt;&amp;#34;Found (LEFT) boundary mark: {}&amp;#34;&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;searched_left&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;&lt;code&gt;check_in_range(0, middle)&lt;/code&gt; asks: &amp;ldquo;could any row in granules &lt;code&gt;[0, middle)&lt;/code&gt;&#10;match?&amp;rdquo; The &lt;code&gt;KeyCondition&lt;/code&gt; evaluates the predicate against the &lt;em&gt;index values&#10;at the two ends of the range&lt;/em&gt; and the monotonicity of the key columns.&#10;Because the key is sorted, the answer is monotone in &lt;code&gt;middle&lt;/code&gt;, so binary&#10;search is valid. &lt;code&gt;O(log n)&lt;/code&gt; index checks for the whole part.&lt;/p&gt;&#10;&lt;h3 id="algorithm-2-generic-exclusion-search-everything-else"&gt;Algorithm 2: generic exclusion search (everything else)&lt;/h3&gt;&#10;&lt;p&gt;Now consider &lt;code&gt;WHERE key2 = 5&lt;/code&gt; where &lt;code&gt;key2&lt;/code&gt; is the &lt;em&gt;second&lt;/em&gt; column of the&#10;sorting key, or &lt;code&gt;WHERE key = 5 OR key = 900000&lt;/code&gt;. The matching granules are&#10;&lt;em&gt;not&lt;/em&gt; contiguous, so a binary search can&amp;rsquo;t be used.&lt;/p&gt;&#10;&lt;p&gt;ClickHouse falls back to an exclusion search: split the mark range&#10;recursively, drop the parts that cannot match.&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Storages/MergeTree/GenericExclusionSearch.cpp:61&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="kt"&gt;void&lt;/span&gt; &lt;span class="nf"&gt;searchUnlimited&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;const&lt;/span&gt; &lt;span class="n"&gt;MarkRanges&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;initial_ranges&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;const&lt;/span&gt; &lt;span class="n"&gt;MarkRangeCheck&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;check_in_range&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;const&lt;/span&gt; &lt;span class="n"&gt;GenericExclusionSearchSettings&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;search_settings&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="kt"&gt;bool&lt;/span&gt; &lt;span class="n"&gt;collect_exact_ranges&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;GenericExclusionSearchResult&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="k"&gt;const&lt;/span&gt; &lt;span class="k"&gt;auto&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="nl"&gt;initial_range&lt;/span&gt; &lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;initial_ranges&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;vector&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;MarkRange&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;ranges_stack&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;initial_range&lt;/span&gt;&lt;span class="p"&gt;};&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;while&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;!&lt;/span&gt;&lt;span class="n"&gt;ranges_stack&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;empty&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;MarkRange&lt;/span&gt; &lt;span class="n"&gt;range&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;ranges_stack&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;back&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;ranges_stack&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;pop_back&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="o"&gt;++&lt;/span&gt;&lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;num_steps&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;BoolMask&lt;/span&gt; &lt;span class="n"&gt;mask&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;check_in_range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;!&lt;/span&gt;&lt;span class="n"&gt;mask&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;can_be_true&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;continue&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="kt"&gt;bool&lt;/span&gt; &lt;span class="n"&gt;exact&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="o"&gt;!&lt;/span&gt;&lt;span class="n"&gt;mask&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;can_be_false&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;exact&lt;/span&gt; &lt;span class="o"&gt;||&lt;/span&gt; &lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;end&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;begin&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;appendWithMaxGap&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ranges&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;search_settings&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;min_marks_for_seek&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// Unlike `ranges`, exact ranges must never absorb the gap between two accepted&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// ranges: every mark of an exact range has to fully match the condition, while the&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// skipped marks in between do not.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;collect_exact_ranges&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;exact&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;appendWithMaxGap&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;exact_ranges&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;else&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;splitRange&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;search_settings&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;coarse_index_granularity&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="o"&gt;&amp;amp;&lt;/span&gt;&lt;span class="p"&gt;](&lt;/span&gt;&lt;span class="n"&gt;MarkRange&lt;/span&gt; &lt;span class="n"&gt;subrange&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt; &lt;span class="n"&gt;ranges_stack&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;push_back&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;subrange&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt; &lt;span class="p"&gt;});&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;}&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;This is a depth-first search over mark ranges. The check returns a&#10;&lt;code&gt;BoolMask&lt;/code&gt; with two bits: &lt;code&gt;can_be_true&lt;/code&gt; and &lt;code&gt;can_be_false&lt;/code&gt;.&lt;/p&gt;&#10;&lt;ul&gt;&#10;&lt;li&gt;&lt;code&gt;!can_be_true&lt;/code&gt; → the whole range cannot match → &lt;strong&gt;drop it&lt;/strong&gt;.&lt;/li&gt;&#10;&lt;li&gt;&lt;code&gt;!can_be_false&lt;/code&gt; → every row in the range matches → &lt;strong&gt;keep it whole&lt;/strong&gt;.&lt;/li&gt;&#10;&lt;li&gt;otherwise → the range is a mixture → &lt;strong&gt;split it&lt;/strong&gt; into&#10;&lt;code&gt;merge_tree_coarse_index_granularity&lt;/code&gt; (default 8) subranges and recurse.&lt;/li&gt;&#10;&lt;/ul&gt;&#10;&lt;p&gt;Splitting into 8 rather than 2 is deliberate. It&amp;rsquo;s a &lt;em&gt;breadth&lt;/em&gt;-ish&#10;compromise: splitting in half is the classic binary split, but each split&#10;costs one &lt;code&gt;check_in_range&lt;/code&gt; call, and each check isn&amp;rsquo;t free — it evaluates a&#10;&lt;code&gt;KeyCondition&lt;/code&gt; against the index columns at the range boundaries. Eight&#10;subranges per step means the search converges in about &lt;code&gt;log_8(n)&lt;/code&gt; steps&#10;while doing 8× the work per step.&lt;/p&gt;&#10;&lt;h3 id="the-step-budget"&gt;The step budget&lt;/h3&gt;&#10;&lt;p&gt;The unlimited search has no bound. A pathological predicate could make it&#10;check thousands of ranges, so there&amp;rsquo;s a budget:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Storages/MergeTree/GenericExclusionSearch.cpp:119&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="kt"&gt;void&lt;/span&gt; &lt;span class="nf"&gt;searchLimited&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;const&lt;/span&gt; &lt;span class="n"&gt;MarkRanges&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;initial_ranges&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;const&lt;/span&gt; &lt;span class="n"&gt;MarkRangeCheck&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;check_in_range&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;const&lt;/span&gt; &lt;span class="n"&gt;GenericExclusionSearchSettings&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;search_settings&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="kt"&gt;bool&lt;/span&gt; &lt;span class="n"&gt;collect_exact_ranges&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;GenericExclusionSearchResult&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;vector&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;MarkRange&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;heap_storage&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;initial_ranges&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;begin&lt;/span&gt;&lt;span class="p"&gt;(),&lt;/span&gt; &lt;span class="n"&gt;initial_ranges&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;end&lt;/span&gt;&lt;span class="p"&gt;());&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;priority_queue&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;MarkRange&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;vector&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;MarkRange&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;LessBySize&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;queue&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;LessBySize&lt;/span&gt;&lt;span class="p"&gt;{},&lt;/span&gt; &lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;move&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;heap_storage&lt;/span&gt;&lt;span class="p"&gt;));&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="c1"&gt;/// Ranges are accepted out of spatial order, so they are collected raw and merged after sorting.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;vector&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;MarkRange&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;accepted&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;vector&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="n"&gt;MarkRange&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;accepted_exact&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;while&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;!&lt;/span&gt;&lt;span class="n"&gt;queue&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;empty&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;MarkRange&lt;/span&gt; &lt;span class="n"&gt;range&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;queue&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;top&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;queue&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;pop&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="o"&gt;++&lt;/span&gt;&lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;num_steps&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;BoolMask&lt;/span&gt; &lt;span class="n"&gt;mask&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;check_in_range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;!&lt;/span&gt;&lt;span class="n"&gt;mask&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;can_be_true&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;continue&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="kt"&gt;bool&lt;/span&gt; &lt;span class="n"&gt;exact&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="o"&gt;!&lt;/span&gt;&lt;span class="n"&gt;mask&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;can_be_false&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;exact&lt;/span&gt; &lt;span class="o"&gt;||&lt;/span&gt; &lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;end&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;begin&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;accepted&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;push_back&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;collect_exact_ranges&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;exact&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;accepted_exact&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;push_back&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;continue&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;num_steps&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;queue&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;size&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;search_settings&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;max_steps&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;result&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;reached_step_limit&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nb"&gt;true&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;accepted&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;push_back&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;continue&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;splitRange&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;search_settings&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;coarse_index_granularity&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="o"&gt;&amp;amp;&lt;/span&gt;&lt;span class="p"&gt;](&lt;/span&gt;&lt;span class="n"&gt;MarkRange&lt;/span&gt; &lt;span class="n"&gt;subrange&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt; &lt;span class="n"&gt;queue&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;push&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;subrange&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt; &lt;span class="p"&gt;});&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;Two things change relative to the unlimited version.&lt;/p&gt;&#10;&lt;p&gt;&lt;strong&gt;A priority queue, largest range first.&lt;/strong&gt; The budget is spent where it&#10;buys the most: splitting a huge range is what removes the most granules, so&#10;the biggest range is examined first. The comparator is explicit:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Storages/MergeTree/GenericExclusionSearch.cpp:102&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;/// Orders the queue of the step-limited search: the largest range comes first.&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="k"&gt;struct&lt;/span&gt; &lt;span class="nc"&gt;LessBySize&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="kt"&gt;bool&lt;/span&gt; &lt;span class="nf"&gt;operator&lt;/span&gt;&lt;span class="p"&gt;()(&lt;/span&gt;&lt;span class="k"&gt;const&lt;/span&gt; &lt;span class="n"&gt;MarkRange&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;lhs&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="k"&gt;const&lt;/span&gt; &lt;span class="n"&gt;MarkRange&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;rhs&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;const&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;{&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;lhs_size&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;lhs&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;end&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;lhs&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;begin&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;size_t&lt;/span&gt; &lt;span class="n"&gt;rhs_size&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;rhs&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;end&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;rhs&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;begin&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;tie&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;lhs_size&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;rhs&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;begin&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;std&lt;/span&gt;&lt;span class="o"&gt;::&lt;/span&gt;&lt;span class="n"&gt;tie&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;rhs_size&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;lhs&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;begin&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="p"&gt;}&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;};&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;&lt;strong&gt;When the budget runs out, the range is accepted whole.&lt;/strong&gt; This is the&#10;important bit: the search never returns an &lt;em&gt;incorrect&lt;/em&gt; answer. When&#10;&lt;code&gt;result.num_steps + queue.size() &amp;gt; max_steps&lt;/code&gt;, the range is pushed into&#10;&lt;code&gt;accepted&lt;/code&gt; as-is — meaning &amp;ldquo;we don&amp;rsquo;t know, so read it&amp;rdquo;. The result is a&#10;superset of the true matching granules, so the query is correct; it just&#10;reads more data than an unlimited search would have.&lt;/p&gt;&#10;&lt;p&gt;That&amp;rsquo;s what the setting says:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;cpp&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-cpp" data-lang="cpp"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="c1"&gt;// src/Core/Settings.cpp:1936&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;DECLARE&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;UInt64&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;merge_tree_generic_exclusion_search_max_steps&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;R&lt;/span&gt;&lt;span class="s"&gt;&amp;#34;(&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="n"&gt;When&lt;/span&gt; &lt;span class="n"&gt;a&lt;/span&gt; &lt;span class="n"&gt;filter&lt;/span&gt; &lt;span class="n"&gt;cannot&lt;/span&gt; &lt;span class="n"&gt;be&lt;/span&gt; &lt;span class="n"&gt;evaluated&lt;/span&gt; &lt;span class="n"&gt;as&lt;/span&gt; &lt;span class="n"&gt;a&lt;/span&gt; &lt;span class="n"&gt;single&lt;/span&gt; &lt;span class="n"&gt;continuous&lt;/span&gt; &lt;span class="n"&gt;range&lt;/span&gt; &lt;span class="n"&gt;of&lt;/span&gt; &lt;span class="n"&gt;the&lt;/span&gt; &lt;span class="n"&gt;primary&lt;/span&gt; &lt;span class="n"&gt;key&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;example&lt;/span&gt; &lt;span class="n"&gt;when&lt;/span&gt; &lt;span class="n"&gt;it&lt;/span&gt; &lt;span class="n"&gt;uses&lt;/span&gt; &lt;span class="n"&gt;key&lt;/span&gt; &lt;span class="n"&gt;columns&lt;/span&gt; &lt;span class="n"&gt;other&lt;/span&gt; &lt;span class="n"&gt;than&lt;/span&gt; &lt;span class="n"&gt;the&lt;/span&gt; &lt;span class="n"&gt;first&lt;/span&gt; &lt;span class="n"&gt;one&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;ClickHouse&lt;/span&gt; &lt;span class="n"&gt;runs&lt;/span&gt; &lt;span class="n"&gt;an&lt;/span&gt; &lt;span class="n"&gt;iterative&lt;/span&gt; &lt;span class="n"&gt;generic&lt;/span&gt; &lt;span class="n"&gt;exclusion&lt;/span&gt; &lt;span class="n"&gt;search&lt;/span&gt; &lt;span class="n"&gt;algorithm&lt;/span&gt; &lt;span class="n"&gt;over&lt;/span&gt; &lt;span class="n"&gt;the&lt;/span&gt; &lt;span class="n"&gt;index&lt;/span&gt; &lt;span class="n"&gt;marks&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt; &lt;span class="n"&gt;The&lt;/span&gt; &lt;span class="n"&gt;same&lt;/span&gt; &lt;span class="n"&gt;algorithm&lt;/span&gt; &lt;span class="n"&gt;is&lt;/span&gt; &lt;span class="n"&gt;used&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;the&lt;/span&gt; &lt;span class="n"&gt;analysis&lt;/span&gt; &lt;span class="n"&gt;of&lt;/span&gt; &lt;span class="n"&gt;the&lt;/span&gt; &lt;span class="n"&gt;text&lt;/span&gt; &lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt; &lt;span class="n"&gt;This&lt;/span&gt; &lt;span class="n"&gt;setting&lt;/span&gt; &lt;span class="n"&gt;limits&lt;/span&gt; &lt;span class="n"&gt;the&lt;/span&gt; &lt;span class="n"&gt;number&lt;/span&gt; &lt;span class="n"&gt;of&lt;/span&gt; &lt;span class="n"&gt;steps&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;index&lt;/span&gt; &lt;span class="n"&gt;checks&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="n"&gt;the&lt;/span&gt; &lt;span class="n"&gt;algorithm&lt;/span&gt; &lt;span class="n"&gt;spends&lt;/span&gt; &lt;span class="n"&gt;on&lt;/span&gt; &lt;span class="n"&gt;each&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt; &lt;span class="n"&gt;part&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="n"&gt;The&lt;/span&gt; &lt;span class="n"&gt;budget&lt;/span&gt; &lt;span class="n"&gt;is&lt;/span&gt; &lt;span class="n"&gt;spent&lt;/span&gt; &lt;span class="n"&gt;on&lt;/span&gt; &lt;span class="n"&gt;the&lt;/span&gt; &lt;span class="n"&gt;largest&lt;/span&gt; &lt;span class="n"&gt;remaining&lt;/span&gt; &lt;span class="n"&gt;mark&lt;/span&gt; &lt;span class="n"&gt;ranges&lt;/span&gt; &lt;span class="n"&gt;first&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt; &lt;span class="n"&gt;When&lt;/span&gt; &lt;span class="n"&gt;it&lt;/span&gt; &lt;span class="n"&gt;is&lt;/span&gt; &lt;span class="n"&gt;exhausted&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;the&lt;/span&gt; &lt;span class="n"&gt;ranges&lt;/span&gt; &lt;span class="n"&gt;that&lt;/span&gt; &lt;span class="n"&gt;were&lt;/span&gt; &lt;span class="n"&gt;not&lt;/span&gt; &lt;span class="n"&gt;fully&lt;/span&gt; &lt;span class="n"&gt;analyzed&lt;/span&gt; &lt;span class="n"&gt;are&lt;/span&gt; &lt;span class="n"&gt;accepted&lt;/span&gt; &lt;span class="n"&gt;as&lt;/span&gt; &lt;span class="n"&gt;a&lt;/span&gt; &lt;span class="n"&gt;whole&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;so&lt;/span&gt; &lt;span class="n"&gt;the&lt;/span&gt; &lt;span class="n"&gt;query&lt;/span&gt; &lt;span class="n"&gt;stays&lt;/span&gt; &lt;span class="n"&gt;correct&lt;/span&gt; &lt;span class="n"&gt;but&lt;/span&gt; &lt;span class="n"&gt;may&lt;/span&gt; &lt;span class="n"&gt;read&lt;/span&gt; &lt;span class="n"&gt;more&lt;/span&gt; &lt;span class="n"&gt;granules&lt;/span&gt; &lt;span class="n"&gt;than&lt;/span&gt; &lt;span class="n"&gt;an&lt;/span&gt; &lt;span class="n"&gt;unlimited&lt;/span&gt; &lt;span class="n"&gt;search&lt;/span&gt; &lt;span class="n"&gt;would&lt;/span&gt; &lt;span class="n"&gt;select&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt; &lt;span class="n"&gt;A&lt;/span&gt; &lt;span class="n"&gt;lower&lt;/span&gt; &lt;span class="n"&gt;budget&lt;/span&gt; &lt;span class="n"&gt;speeds&lt;/span&gt; &lt;span class="n"&gt;up&lt;/span&gt; &lt;span class="n"&gt;index&lt;/span&gt; &lt;span class="n"&gt;analysis&lt;/span&gt; &lt;span class="n"&gt;at&lt;/span&gt; &lt;span class="n"&gt;the&lt;/span&gt; &lt;span class="n"&gt;cost&lt;/span&gt; &lt;span class="n"&gt;of&lt;/span&gt; &lt;span class="n"&gt;reading&lt;/span&gt; &lt;span class="n"&gt;more&lt;/span&gt; &lt;span class="n"&gt;data&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt; &lt;span class="n"&gt;The&lt;/span&gt; &lt;span class="n"&gt;limit&lt;/span&gt; &lt;span class="n"&gt;is&lt;/span&gt; &lt;span class="n"&gt;approximate&lt;/span&gt; &lt;span class="n"&gt;rather&lt;/span&gt; &lt;span class="n"&gt;than&lt;/span&gt; &lt;span class="n"&gt;a&lt;/span&gt; &lt;span class="n"&gt;strict&lt;/span&gt; &lt;span class="n"&gt;cap&lt;/span&gt; &lt;span class="n"&gt;on&lt;/span&gt; &lt;span class="n"&gt;the&lt;/span&gt; &lt;span class="n"&gt;analysis&lt;/span&gt; &lt;span class="nl"&gt;cost&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="n"&gt;the&lt;/span&gt; &lt;span class="n"&gt;search&lt;/span&gt; &lt;span class="n"&gt;can&lt;/span&gt; &lt;span class="n"&gt;exceed&lt;/span&gt; &lt;span class="n"&gt;it&lt;/span&gt; &lt;span class="n"&gt;by&lt;/span&gt; &lt;span class="n"&gt;roughly&lt;/span&gt; &lt;span class="n"&gt;one&lt;/span&gt; &lt;span class="n"&gt;round&lt;/span&gt; &lt;span class="n"&gt;of&lt;/span&gt; &lt;span class="n"&gt;splitting&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;and&lt;/span&gt; &lt;span class="n"&gt;when&lt;/span&gt; &lt;span class="n"&gt;the&lt;/span&gt; &lt;span class="n"&gt;part&lt;/span&gt; &lt;span class="n"&gt;is&lt;/span&gt; &lt;span class="n"&gt;already&lt;/span&gt; &lt;span class="n"&gt;divided&lt;/span&gt; &lt;span class="n"&gt;into&lt;/span&gt; &lt;span class="n"&gt;many&lt;/span&gt; &lt;span class="n"&gt;ranges&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;example&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;by&lt;/span&gt; &lt;span class="n"&gt;the&lt;/span&gt; &lt;span class="n"&gt;query&lt;/span&gt; &lt;span class="n"&gt;condition&lt;/span&gt; &lt;span class="n"&gt;cache&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="n"&gt;each&lt;/span&gt; &lt;span class="n"&gt;of&lt;/span&gt; &lt;span class="n"&gt;them&lt;/span&gt; &lt;span class="n"&gt;is&lt;/span&gt; &lt;span class="n"&gt;checked&lt;/span&gt; &lt;span class="n"&gt;at&lt;/span&gt; &lt;span class="n"&gt;least&lt;/span&gt; &lt;span class="n"&gt;once&lt;/span&gt; &lt;span class="n"&gt;regardless&lt;/span&gt; &lt;span class="n"&gt;of&lt;/span&gt; &lt;span class="n"&gt;the&lt;/span&gt; &lt;span class="n"&gt;limit&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;The default of 0 means unlimited steps. So the default behaviour is exact&#10;and unbounded; the budget is an escape hatch for pathological cases.&lt;/p&gt;&#10;&lt;h3 id="the-seek-heuristic"&gt;The seek heuristic&lt;/h3&gt;&#10;&lt;p&gt;One more knob, and it&amp;rsquo;s about &lt;em&gt;IO&lt;/em&gt;, not about correctness. When two&#10;accepted ranges are separated by a small gap of marks, it&amp;rsquo;s cheaper to read&#10;the gap sequentially than to seek past it. &lt;code&gt;appendWithMaxGap&lt;/code&gt; merges the two&#10;ranges when the gap is at most &lt;code&gt;max_gap&lt;/code&gt; marks wide.&lt;/p&gt;&#10;&lt;p&gt;The gap threshold comes from &lt;code&gt;merge_tree_min_rows_for_seek&lt;/code&gt; and&#10;&lt;code&gt;merge_tree_min_bytes_for_seek&lt;/code&gt;, converted into marks by the granularity of&#10;the part. Both default to 0, i.e. &amp;ldquo;never bridge a gap&amp;rdquo; — but on a spinning&#10;disk or an object store with a high per-request cost, setting them turns&#10;&amp;ldquo;read 8 KB from here, seek, read 8 KB from there&amp;rdquo; into &amp;ldquo;read 40 KB&#10;contiguously&amp;rdquo;.&lt;/p&gt;&#10;&lt;p&gt;Note the asymmetry that the comment points out: &lt;code&gt;exact_ranges&lt;/code&gt; are merged&#10;with &lt;code&gt;max_gap = 0&lt;/code&gt;, always. An exact range is a range where &lt;em&gt;every&lt;/em&gt; row&#10;matches, and bridging a gap into it would claim that the skipped marks match&#10;too — which is false. So the gap-bridging optimization applies only to the&#10;&amp;ldquo;may match&amp;rdquo; ranges, never to the &amp;ldquo;definitely matches&amp;rdquo; ones.&lt;/p&gt;&#10;&lt;h2 id="putting-it-together"&gt;Putting it together&lt;/h2&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;text&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-text" data-lang="text"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; part on disk&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; ┌───────────────────────────────────────────────────────────────┐&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; │ granule 0 granule 1 granule 2 granule 3 │&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; │ rows 0..8191 rows 8192..16383 rows ... rows ... │&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; └───────────────────────────────────────────────────────────────┘&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; │ │ │ │&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; ▼ ▼ ▼ ▼&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; marks: (x0,y0) (x1,y1) (x2,y2) (x3,y3)&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; bit-packed, ~3 bytes each, one per column file&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; │&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; ▼&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; primary.idx: key values of the FIRST ROW of each granule&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; │&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; ▼&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; KeyCondition.checkInRange(...)&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; │&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; ├── predicate is a continuous key range → binary search (2·log₂ n checks)&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; │&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; └── predicate is anything else → exclusion search (recursive, budgeted)&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; │&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; ▼&#10;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; MarkRanges: the granules that must be read&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;h2 id="what-this-buys-you-and-what-it-costs"&gt;What this buys you, and what it costs&lt;/h2&gt;&#10;&lt;p&gt;&lt;strong&gt;It buys you a scan that&amp;rsquo;s proportional to the data you asked for, not to&#10;the data you stored.&lt;/strong&gt; A &lt;code&gt;SELECT&lt;/code&gt; with a range predicate on a sorted key&#10;reads roughly the granules that overlap the range, plus one granule of&#10;granularity on each side.&lt;/p&gt;&#10;&lt;p&gt;&lt;strong&gt;It buys you an index that fits in memory.&lt;/strong&gt; Three bytes per mark, and the&#10;primary key index trimmed to the columns that can actually narrow things&#10;down. Without those two tricks, a 10 TB table would need tens of gigabytes&#10;of index.&lt;/p&gt;&#10;&lt;p&gt;&lt;strong&gt;It costs you a fixed granularity of waste.&lt;/strong&gt; A predicate that matches a&#10;single row still reads a whole granule — 10 MB by default. This is the&#10;central trade of the whole design, and it&amp;rsquo;s why &lt;code&gt;index_granularity_bytes&lt;/code&gt; is&#10;a setting you may want to lower for a table with a very selective predicate&#10;and small rows.&lt;/p&gt;&#10;&lt;p&gt;&lt;strong&gt;It costs you an in-memory structure that has to be built and kept.&lt;/strong&gt; The&#10;primary index is loaded per part (or cached), and the marks are loaded per&#10;column file that the query touches. Both are cached, and both have their own&#10;LRU, but the first query against a cold part pays for them.&lt;/p&gt;&#10;&lt;p&gt;&lt;strong&gt;It costs you complexity in the analysis.&lt;/strong&gt; Two algorithms, a budget, a&#10;trimming heuristic that makes the analysis conservative in some cases, and&#10;the requirement that the analysis be &lt;em&gt;sound&lt;/em&gt; (never skip a granule that&#10;could match) even when it isn&amp;rsquo;t &lt;em&gt;complete&lt;/em&gt;.&lt;/p&gt;&#10;&lt;h2 id="seeing-it-in-action"&gt;Seeing it in action&lt;/h2&gt;&#10;&lt;p&gt;The profile events tell you which algorithm ran:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;sql&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-sql" data-lang="sql"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="k"&gt;SELECT&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;event&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;value&lt;/span&gt;&lt;span class="w"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="k"&gt;FROM&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;system&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;events&lt;/span&gt;&lt;span class="w"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="k"&gt;WHERE&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;event&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;IN&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="w"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="s1"&gt;&amp;#39;IndexBinarySearchAlgorithm&amp;#39;&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="s1"&gt;&amp;#39;IndexGenericExclusionSearchAlgorithm&amp;#39;&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="s1"&gt;&amp;#39;IndexGenericExclusionSearchStepLimitReached&amp;#39;&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="s1"&gt;&amp;#39;FilteringMarksWithPrimaryKeyProcessedMarks&amp;#39;&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="s1"&gt;&amp;#39;FilteringMarksWithPrimaryKey&amp;#39;&lt;/span&gt;&lt;span class="w"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="p"&gt;);&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;&lt;code&gt;FilteringMarksWithPrimaryKeyProcessedMarks&lt;/code&gt; is the number of marks&#10;examined. &lt;code&gt;FilteringMarksWithPrimaryKey&lt;/code&gt; is the number of parts where the&#10;primary key was used at all. The ratio between the two, and the ratio of&#10;marks read to marks examined, is your &amp;ldquo;how selective is my index&amp;rdquo; metric.&lt;/p&gt;&#10;&lt;p&gt;And the parts themselves report the granularity they were written with:&lt;/p&gt;&#10;&lt;div class="code-block"&gt;&#10; &lt;div class="code-block-head"&gt;&#10; &lt;span class="code-lang"&gt;sql&lt;/span&gt;&#10; &lt;button class="code-copy" type="button" data-copy&gt;Copy&lt;/button&gt;&#10; &lt;/div&gt;&#10; &lt;div class="code-block-body"&gt;&#10; &lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-sql" data-lang="sql"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="k"&gt;SELECT&lt;/span&gt;&lt;span class="w"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;name&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;rows&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;marks&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;round&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="k"&gt;rows&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;marks&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;AS&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;rows_per_mark&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;formatReadableSize&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;bytes_on_disk&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;AS&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;size&lt;/span&gt;&lt;span class="w"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="k"&gt;FROM&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;system&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="n"&gt;parts&lt;/span&gt;&lt;span class="w"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="k"&gt;WHERE&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;active&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;AND&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;rows&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="w"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="k"&gt;ORDER&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;BY&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;marks&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;DESC&lt;/span&gt;&lt;span class="w"&gt;&#10;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="k"&gt;LIMIT&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&#10; &lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;p&gt;A &lt;code&gt;rows_per_mark&lt;/code&gt; far below 8192 means the table has fat rows and the&#10;byte-based granularity kicked in. A &lt;code&gt;rows_per_mark&lt;/code&gt; of exactly 8192 means&#10;&lt;code&gt;use_const_adaptive_granularity&lt;/code&gt; is on, or &lt;code&gt;index_granularity_bytes&lt;/code&gt; was 0&#10;when the part was written.&lt;/p&gt;&#10;&lt;h2 id="wrapping-up"&gt;Wrapping up&lt;/h2&gt;&#10;&lt;p&gt;&lt;strong&gt;The one thing to remember:&lt;/strong&gt; a MergeTree granule is the unit of skipping,&#10;and everything else — marks, the primary index, the two search algorithms —&#10;exists to answer one question about it: &lt;em&gt;can this granule possibly match?&lt;/em&gt;&lt;/p&gt;&#10;&lt;p&gt;&lt;strong&gt;What to go do about it:&lt;/strong&gt; if a query on your table isn&amp;rsquo;t skipping&#10;granules, look at the shape of the predicate before you touch anything&#10;else. A predicate on the &lt;em&gt;first&lt;/em&gt; sorting-key column with a continuous range&#10;gets the fast binary search. A predicate on a &lt;em&gt;later&lt;/em&gt; column, or an &lt;code&gt;OR&lt;/code&gt;&#10;across values, gets the recursive exclusion search — and there you should&#10;be watching &lt;code&gt;IndexGenericExclusionSearchStepLimitReached&lt;/code&gt;.&lt;/p&gt;&#10;&lt;p&gt;If you see that event firing, the search ran out of budget and fell back to&#10;reading more granules than it needed to. Either raise&#10;&lt;code&gt;merge_tree_generic_exclusion_search_max_steps&lt;/code&gt;, or — better — add a&#10;projected column and query that instead.&lt;/p&gt;&#10;</content:encoded></item></channel></rss>