From 588b9a8b253f2ccea0457695bd301afd9b4550b8 Mon Sep 17 00:00:00 2001 From: Sears Russell Date: Fri, 16 Nov 2007 18:27:36 +0000 Subject: [PATCH] Rows sumbitted paper. --- doc/rosePaper/rose.tex | 165 +++++++++++---------- doc/rosePaper/rows-all-data-final.gnumeric | Bin 0 -> 69579 bytes doc/rosePaper/rows-submitted.pdf | Bin 0 -> 307792 bytes 3 files changed, 84 insertions(+), 81 deletions(-) create mode 100644 doc/rosePaper/rows-all-data-final.gnumeric create mode 100644 doc/rosePaper/rows-submitted.pdf diff --git a/doc/rosePaper/rose.tex b/doc/rosePaper/rose.tex index e57105f..09fb3ee 100644 --- a/doc/rosePaper/rose.tex +++ b/doc/rosePaper/rose.tex @@ -78,16 +78,16 @@ processing queries. \rows uses {\em log structured merge} (LSM) trees to create full database replicas using purely sequential I/O. It provides access to inconsistent data in real-time and consistent data with a few seconds delay. \rows was written to support micropayment -transactions. Here, we apply it to archival of weather data. +transactions. A \rows replica serves two purposes. First, by avoiding seeks, \rows -reduces the load on the replicas' disks, leaving surplus I/O capacity -for read-only queries and allowing inexpensive hardware to replicate -workloads produced by machines that are equipped with many disks. -Read-only replication allows decision support and OLAP queries to +reduces the load on the replicas' disks. This leaves surplus I/O capacity +for read-only queries and allows inexpensive hardware to replicate +workloads produced by expensive machines that are equipped with many disks. +Affordable, read-only replication allows decision support and OLAP queries to scale linearly with the number of machines, regardless of lock contention and other bottlenecks associated with distributed -transactions. Second, a group of \rows replicas provides a highly +transactional updates. Second, a group of \rows replicas provides a highly available copy of the database. In many Internet-scale environments, decision support queries are more important than update availability. @@ -159,25 +159,24 @@ reconcile inconsistencies in their results. If the queries are too expensive to run on master database instances they are delegated to data warehousing systems and produce stale results. -In order to address these issues, \rows gives up the ability to +In order to address the needs of such queries, \rows gives up the ability to directly process SQL updates. In exchange, it is able to replicate conventional database instances at a small fraction of the cost of a general-purpose database server. Like a data warehousing solution, this decreases the cost of large, read-only analytical processing and decision support queries, and scales to extremely -large database instances with high-throughput updates. Unlike a data -warehousing solution, \rows does this without introducing significant +large database instances with high-throughput updates. Unlike data +warehousing solutions, \rows does this without introducing significant replication latency. Conventional database replicas provide low-latency replication at a -cost comparable to the database instances being replicated. This +cost comparable to that of the master database. The expense associated with such systems prevents conventional database replicas from scaling. The additional read throughput they provide is nearly as expensive as read throughput on the master. Because their performance is comparable to that of the master database, they are unable to consolidate multiple database -instances for centralized processing. \rows suffers from neither of -these limitations. +instances for centralized processing. Unlike existing systems, \rows provides inexpensive, low-latency, and scalable replication of write-intensive relational databases, @@ -185,19 +184,20 @@ regardless of workload contention, database size, or update patterns. \subsection{Fictional \rows deployment} -Imagine a classic, disk bound TPC-C installation. On modern hardware, +Imagine a classic, disk-bound TPC-C installation. On modern hardware, such a system would have tens of disks, and would be seek limited. -Consider the problem of producing a read-only low-latency replica of +Consider the problem of producing a read-only, low-latency replica of the system for analytical processing, decision support, or some other expensive read-only workload. If the replica uses the same storage engine as the master, its hardware resources would be comparable to (certainly within an order of magnitude) those of the master database -instances. As this paper shows, the I/O cost of maintaining a \rows -replica can be less than 1\% of the cost of maintaining the master -database. +instances. Worse, a significant fraction of these resources would be +devoted to replaying updates from the master. As we show below, +the I/O cost of maintaining a \rows replica can be less than 1\% of +the cost of maintaining the master database. Therefore, unless the replica's read-only query workload is seek -limited, a \rows replica can make due with many fewer disks than the +limited, a \rows replica requires many fewer disks than the master database instance. If the replica must service seek-limited queries, it will likely need to run on a machine similar to the master database, but will use almost none of its (expensive) I/O capacity for @@ -209,8 +209,8 @@ pages, increasing the effective size of system memory. The primary drawback of this approach is that it roughly doubles the cost of each random index lookup. Therefore, the attractiveness of \rows hinges on two factors: the fraction of the workload devoted to -random tuple lookups, and the premium one must pay for a specialized -storage hardware. +random tuple lookups, and the premium one would have paid for a piece +of specialized storage hardware that \rows replaces. \subsection{Paper structure} @@ -256,7 +256,7 @@ computational power for scarce storage resources. The replication log should record each transaction {\tt begin}, {\tt commit}, and {\tt abort} performed by the master database, along with the pre- and post-images associated with each tuple update. The ordering of these -entries should match the order in which they are applied at the +entries must match the order in which they are applied at the database master. Upon receiving a log entry, \rows applies it to an in-memory tree, and @@ -280,10 +280,10 @@ Section~\ref{sec:isolation}. %larger tree. In order to look up a tuple stored in \rows, a query must examine all -three trees, typically starting with the in-memory (fastest, and most +three tree components, typically starting with the in-memory (fastest, and most up-to-date) component, and then moving on to progressively larger and out-of-date trees. In order to perform a range scan, the query can -either iterate over the trees manually, or wait until the next round +iterate over the trees manually. Alternatively, it can wait until the next round of merging occurs, and apply the scan to tuples as the mergers examine them. By waiting until the tuples are due to be merged, the range-scan can occur with zero I/O cost, at the expense of significant @@ -293,18 +293,18 @@ delay. it to continuously process updates and service index lookup requests. In order to minimize the overhead of thread synchronization, index lookups lock entire tree components at a time. Because on-disk tree -components are read-only, these latches only affect tree deletion, +components are read-only, these latches only block tree deletion, allowing merges and lookups to occur concurrently. $C0$ is updated in place, preventing inserts from occurring concurrently with merges and lookups. However, operations on $C0$ are comparatively fast, reducing contention for $C0$'s latch. -Recovery, space management and atomic updates to \rowss metadata is +Recovery, space management and atomic updates to \rowss metadata are handled by an existing transactional storage system. \rows is -implemented as an extension to the transaction system, and stores its +implemented as an extension to the transaction system and stores its data in a conventional database page file. \rows does not use the underlying transaction system to log changes to its tree components. -Instead, it force writes them to disk before commit, ensuring +Instead, it force writes tree components to disk after each merge completes, ensuring durability without significant logging overhead. As far as we know, \rows is the first LSM-Tree implementation. This @@ -314,8 +314,10 @@ analysis of LSM-Tree performance on current hardware (we refer the reader to the original LSM work for a thorough analytical discussion of LSM performance). Finally, we explain how our implementation provides transactional isolation, exploits hardware parallelism, and -supports crash recovery. We defer discussion of \rowss compression -techniques to the next section. +supports crash recovery. These implementation specific details are an +important contribution of this work; they explain how to adapt +LSM-Trees to provide high performance database replication. We defer +discussion of \rowss compression techniques to the next section. \subsection{Tree merging} @@ -394,7 +396,7 @@ practice. This section describes the impact of compression on B-Tree and LSM-Tree performance using (intentionally simplistic) models of their performance characteristics. -Starting with the (more familiar) B-Tree case, in the steady state, we +Starting with the (more familiar) B-Tree case, in the steady state we can expect each index update to perform two random disk accesses (one evicts a page, the other reads a page). Tuple compression does not reduce the number of disk seeks: @@ -429,7 +431,7 @@ The $compression~ratio$ is $\frac{uncompressed~size}{compressed~size}$, so improved compression leads to less expensive LSM-Tree updates. For simplicity, we assume that the compression ratio is the same throughout each component of -the LSM-Tree; \rows addresses this at run time by reasoning in terms +the LSM-Tree; \rows addresses this at run-time by reasoning in terms of the number of pages used by each component. Our test hardware's hard drive is a 7200RPM, 750 GB Seagate Barracuda @@ -514,7 +516,7 @@ in memory, and write approximately $\frac{41.5}{(1-(80/750)} = 46.5$ tuples/sec. Increasing memory further yields a system that is no longer disk bound. -Assuming that the system CPUs are fast enough to allow \rows +Assuming that the CPUs are fast enough to allow \rows compression and merge routines to keep up with the bandwidth supplied by the disks, we conclude that \rows will provide significantly higher replication throughput for disk bound applications. @@ -528,7 +530,7 @@ inserts an entry into the leftmost entry in the tree, allocating additional internal nodes if necessary. Our prototype does not compress internal tree nodes\footnote{This is a limitation of our prototype; not our approach. Internal tree nodes are append-only and, at the - very least, the page id data is amenable to compression. Like B-Tree + very least, the page ID data is amenable to compression. Like B-Tree compression, this would decrease the memory used by lookups.}, so it writes one tuple into the tree's internal nodes per compressed page. \rows inherits a default page size of 4KB from the transaction @@ -541,7 +543,7 @@ to the next highest level, and so on. See Table~\ref{table:treeCreationTwo} for a comparison of compression performance with and without tree creation enabled\footnote{Our analysis ignores page headers, per-column, and per-tuple overheads; - these factors account for the additional indexing overhead}. The + these factors account for the additional indexing overhead.}. The data was generated by applying \rowss compressors to randomly generated five column, 1,000,000 row tables. Across five runs, in Table~\ref{table:treeCreation} RLE's page count had a standard @@ -668,31 +670,31 @@ old versions of frequently updated data. \subsubsection{Merging and Garbage collection} -\rows merges components by iterating over them in order, removing +\rows merges components by iterating over them in order, garbage collecting obsolete and duplicate tuples and writing the rest into a new version of the largest component. Because \rows provides snapshot consistency -to queries, it must be careful not to delete a version of a tuple that +to queries, it must be careful not to collect a version of a tuple that is visible to any outstanding (or future) queries. Because \rows never performs disk seeks to service writes, it handles deletions by inserting special tombstone tuples into the tree. The tombstone's purpose is to record the deletion event until all older versions of -the tuple have been garbage collected. At that point, the tombstone -is deleted. +the tuple have been garbage collected. Sometime after that point, the tombstone +is collected as well. -In order to determine whether or not a tuple can be deleted, \rows +In order to determine whether or not a tuple can be collected, \rows compares the tuple's timestamp with any matching tombstones (or record creations, if the tuple is a tombstone), and with any tuples that -match on primary key. Upon encountering such candidates for deletion, +match on primary key. Upon encountering such candidates for garbage collection, \rows compares their timestamps with the set of locked snapshots. If there are no snapshots between the tuple being examined and the -updated version, then the tuple can be deleted. Tombstone tuples can -also be deleted once they reach $C2$ and any older matching tuples +updated version, then the tuple can be collected. Tombstone tuples can +also be collected once they reach $C2$ and any older matching tuples have been removed. Actual reclamation of pages is handled by the underlying transaction system; once \rows completes its scan over existing components (and registers new ones in their places), it tells the transaction system -to reclaim the regions of the page file that stored the components. +to reclaim the regions of the page file that stored the old components. \subsection{Parallelism} @@ -704,7 +706,7 @@ probes into $C1$ and $C2$ are against read-only trees; beyond locating and pinning tree components against deallocation, probes of these components do not interact with the merge processes. -Our prototype exploits replication's piplined parallelism by running +Our prototype exploits replication's pipelined parallelism by running each component's merge process in a separate thread. In practice, this allows our prototype to exploit two to three processor cores during replication. Remaining cores could be used by queries, or (as @@ -736,7 +738,7 @@ with Moore's law for the foreseeable future. Like other log structured storage systems, \rowss recovery process is inexpensive and straightforward. However, \rows does not attempt to ensure that transactions are atomically committed to disk, and is not -meant to supplement or replace the master database's recovery log. +meant to replace the master database's recovery log. Instead, recovery occurs in two steps. Whenever \rows writes a tree component to disk, it does so by beginning a new transaction in the @@ -744,7 +746,7 @@ underlying transaction system. Next, it allocates contiguous regions of disk pages (generating one log entry per region), and performs a B-Tree style bulk load of the new tree into these regions (this bulk load does not produce any log entries). -Finally, \rows forces the tree's regions to disk, and writes the list +Then, \rows forces the tree's regions to disk, and writes the list of regions used by the tree and the location of the tree's root to normal (write ahead logged) records. Finally, it commits the underlying transaction. @@ -803,12 +805,7 @@ multicolumn compression approach. \rows builds upon compression algorithms that are amenable to superscalar optimization, and can achieve throughputs in excess of -1GB/s on current hardware. Multicolumn support introduces significant -overhead; \rowss variants of these approaches typically run within an -order of magnitude of published speeds. Table~\ref{table:perf} -compares single column page layouts with \rowss dynamically dispatched -(not hardcoded to table format) multicolumn format. - +1GB/s on current hardware. %sears@davros:~/stasis/benchmarks$ ./rose -n 10 -p 0.01 %Compression scheme: Time trial (multiple engines) @@ -826,15 +823,15 @@ compares single column page layouts with \rowss dynamically dispatched %Multicolumn (Rle) 416 46.95x 0.377 0.692 \begin{table} -\caption{Compressor throughput - Random data, 10 columns (80 bytes/tuple)} +\caption{Compressor throughput - Random data Mean of 5 runs, $\sigma<5\%$, except where noted} \centering \label{table:perf} \begin{tabular}{|l|c|c|c|} \hline -Format & Ratio & Comp. & Decomp. \\ \hline %& Throughput\\ \hline -PFOR (one column) & 3.96x & 544 mb/s & 2.982 gb/s \\ \hline %& 133.4 MB/s \\ \hline -PFOR (multicolumn) & 3.81x & 253mb/s & 712 mb/s \\ \hline %& 129.8 MB/s \\ \hline -RLE (one column) & 48.83x & 961 mb/s & 1.593 gb/s \\ \hline %& 150.6 MB/s \\ \hline -RLE (multicolumn) & 46.95x & 377 mb/s & 692 mb/s \\ %& 148.4 MB/s \\ +Format (\#col) & Ratio & Comp. mb/s & Decomp. mb/s\\ \hline %& Throughput\\ \hline +PFOR (1) & 3.96x & 547 & 2959 \\ \hline %& 133.4 MB/s \\ \hline +PFOR (10) & 3.86x & 256 & 719 \\ \hline %& 129.8 MB/s \\ \hline +RLE (1) & 48.83x & 960 & 1493 $(12\%)$ \\ \hline %& 150.6 MB/s \\ \hline +RLE (10) & 47.60x & 358 $(9\%)$ & 659 $(7\%)$ \\ %& 148.4 MB/s \\ \hline\end{tabular} \end{table} @@ -853,6 +850,13 @@ page formats (and table schemas), this invokes an extra {\tt for} loop order to choose between column compressors) to each tuple compression request. +This form of multicolumn support introduces significant overhead; +these variants of our compression algorithms run significantly slower +than versions hard-coded to work with single column data. +Table~\ref{table:perf} compares a fixed-format single column page +layout with \rowss dynamically dispatched (not custom generated code) +multicolumn format. + % explain how append works \subsection{The {\tt \large append()} operation} @@ -894,7 +898,7 @@ a buffer of uncompressed data and that it is able to make multiple passes over the data during compression. This allows it to remove branches from loop bodies, improving compression throughput. We opted to avoid this approach in \rows, as it would increase the complexity -of the {\tt append()} interface, and add a buffer to \rowss merge processes. +of the {\tt append()} interface, and add a buffer to \rowss merge threads. \subsection{Static code generation} % discuss templatization of code @@ -953,7 +957,7 @@ implementation that the page is about to be written to disk, and the third {\tt pageEvicted()} invokes the multicolumn destructor. We need to register implementations for these functions because the -transaction system maintains background threads that may evict \rowss +transaction system maintains background threads that control eviction of \rowss pages from memory. Registering these callbacks provides an extra benefit; we parse the page headers, calculate offsets, and choose optimized compression routines when a page is read from @@ -978,7 +982,7 @@ this causes multiple \rows threads to block on each {\tt pack()}. Also, {\tt pack()} reduces \rowss memory utilization by freeing up temporary compression buffers. Delaying its execution for too long might allow this memory to be evicted from processor cache before the -{\tt memcpy()} can occur. For all these reasons, our merge processes +{\tt memcpy()} can occur. For these reasons, the merge threads explicitly invoke {\tt pack()} as soon as possible. \subsection{Storage overhead} @@ -1061,7 +1065,7 @@ We have not examined the tradeoffs between different implementations of tuple lookups. Currently, rather than using binary search to find the boundaries of each range, our compressors simply iterate over the compressed representation of the data in order to progressively narrow -the range of tuples to be considered. It is possible that (given +the range of tuples to be considered. It is possible that (because of expensive branch mispredictions and \rowss small pages) that our linear search implementation will outperform approaches based upon binary search. @@ -1123,15 +1127,15 @@ Wind Gust Speed & RLE & \\ order to the tuples, and insert them in this order. We compare \rowss performance with the MySQL InnoDB storage engine's bulk loader\footnote{We also evaluated MySQL's MyISAM table format. - Predictably, performance degraded as the tree grew; ISAM indices do not + Predictably, performance degraded quickly as the tree grew; ISAM indices do not support node splits.}. This avoids the overhead of SQL insert statements. To force InnoDB to update its B-Tree index in place, we break the dataset into 100,000 tuple chunks, and bulk load each one in succession. If we did not do this, MySQL would simply sort the tuples, and then -bulk load the index. This behavior is unacceptable in a low-latency -replication environment. Breaking the bulk load into multiple chunks +bulk load the index. This behavior is unacceptable in low-latency +environments. Breaking the bulk load into multiple chunks forces MySQL to make intermediate results available as the bulk load proceeds\footnote{MySQL's {\tt concurrent} keyword allows access to {\em existing} data during a bulk load; new data is still exposed @@ -1144,7 +1148,7 @@ to a sequential log. The double buffer increases the amount of I/O performed by InnoDB, but allows it to decrease the frequency with which it needs to fsync() the buffer pool to disk. Once the system reaches steady state, this would not save InnoDB from performing -random I/O, but it increases I/O overhead. +random I/O, but it would increase I/O overhead. We compiled \rowss C components with ``-O2'', and the C++ components with ``-O3''. The later compiler flag is crucial, as compiler @@ -1155,7 +1159,7 @@ given the buffer pool's LRU page replacement policy, and \rowss sequential I/O patterns. Our test hardware has two dual core 64-bit 3GHz Xeon processors with -2MB of cache (Linux reports CPUs) and 8GB of RAM. All software used during our tests +2MB of cache (Linux reports 4 CPUs) and 8GB of RAM. All software used during our tests was compiled for 64 bit architectures. We used a 64-bit Ubuntu Gutsy (Linux ``2.6.22-14-generic'') installation, and the ``5.0.45-Debian\_1ubuntu3'' build of MySQL. @@ -1219,16 +1223,16 @@ occur for two reasons. First, $C0$ accepts insertions at a much greater rate than $C1$ or $C2$ can accept them. Over 100,000 tuples fit in memory, so multiple samples are taken before each new $C0$ component blocks on the disk bound mergers. Second, \rows merges -entire trees at once, causing smaller components to occasionally block +entire trees at once, occasionally blocking smaller components for long periods of time while larger components complete a merge step. Both of these problems could be masked by rate limiting the updates presented to \rows. A better solution would perform incremental tree merges instead of merging entire components at once. This paper has mentioned a number of limitations in our prototype -implementation. Figure~\ref{fig:4R} seeks to quantify the effects of +implementation. Figure~\ref{fig:4R} seeks to quantify the performance impact of these limitations. This figure uses our simplistic analytical model -to calculate \rowss effective disk throughput utilization from \rows +to calculate \rowss effective disk throughput utilization from \rowss reported value of $R$ and instantaneous throughput. According to our model, we should expect an ideal, uncompressed version of \rows to perform about twice as fast as our prototype performed during our experiments. During our tests, \rows @@ -1249,7 +1253,7 @@ Finally, our analytical model neglects some minor sources of storage overhead. One other factor significantly limits our prototype's performance. -Replacing $C0$ atomically doubles \rows peak memory utilization, +Atomically replacing $C0$ doubles \rows peak memory utilization, halving the effective size of $C0$. The balanced tree implementation that we use roughly doubles memory utilization again. Therefore, in our tests, the prototype was wasting approximately $750MB$ of the @@ -1280,9 +1284,9 @@ update workloads. \subsection{LSM-Trees} The original LSM-Tree work\cite{lsm} provides a more detailed -analytical model than the one presented below. It focuses on update +analytical model than the one presented above. It focuses on update intensive OLTP (TPC-A) workloads, and hardware provisioning for steady -state conditions. +state workloads. Later work proposes the reuse of existing B-Tree implementations as the underlying storage mechanism for LSM-Trees\cite{cidrPartitionedBTree}. Many @@ -1303,7 +1307,7 @@ perfectly laid out B-Trees. The problem of {\em Online B-Tree merging} is closely related to LSM-Trees' merge process. B-Tree merging addresses situations where -the contents of a single table index has been split across two +the contents of a single table index have been split across two physical B-Trees that now need to be reconciled. This situation arises, for example, during rebalancing of partitions within a cluster of database machines. @@ -1360,8 +1364,7 @@ the MonetDB\cite{pfor} column-oriented database, along with two other formats (PFOR-delta, which is similar to PFOR, but stores values as deltas, and PDICT, which encodes columns as keys and a dictionary that maps to the original values). We plan to add both these formats to -\rows in the future. \rowss novel {\em multicolumn} page format is a -generalization of these formats. We chose these formats as a starting +\rows in the future. We chose these formats as a starting point because they are amenable to superscalar optimization, and compression is \rowss primary CPU bottleneck. Like MonetDB, each \rows table is supported by custom-generated code. @@ -1439,7 +1442,7 @@ will become practical. Improved compression ratios improve \rowss throughput by decreasing its sequential I/O requirements. In addition to applying compression to LSM-Trees, we presented a new approach to database replication that leverages the strengths of LSM-Tree indices -by avoiding index probing. We also introduced the idea of using +by avoiding index probing during updates. We also introduced the idea of using snapshot consistency to provide concurrency control for LSM-Trees. Our prototype's LSM-Tree recovery mechanism is extremely straightforward, and makes use of a simple latching mechanism to @@ -1450,16 +1453,16 @@ tree merging. Our implementation is a first cut at a working version of \rows; we have mentioned a number of potential improvements throughout this paper. We have characterized the performance of our prototype, and -bounded the performance gain we can expect to achieve by continuing to -optimize our prototype. Without compression, LSM-Trees outperform -B-Tree based indices by many orders of magnitude. With real-world +bounded the performance gain we can expect to achieve via continued +optimization of our prototype. Without compression, LSM-Trees can outperform +B-Tree based indices by at least 2 orders of magnitude. With real-world database compression ratios ranging from 5-20x, we expect \rows database replicas to outperform B-Tree based database replicas by an additional factor of ten. We implemented \rows to address scalability issues faced by large scale database installations. \rows addresses seek-limited -applications that require real time analytical and decision support +applications that require near-realtime analytical and decision support queries over extremely large, frequently updated data sets. We know of no other database technology capable of addressing this class of application. 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