DPconv: Super-Polynomially Faster Join Ordering

Mihail Stoian, Andreas Kipf
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Abstract

We revisit the join ordering problem in query optimization. The standard exact algorithm, DPccp, has a worst-case running time of $O(3^n)$. This is prohibitively expensive for large queries, which are not that uncommon anymore. We develop a new algorithmic framework based on subset convolution. DPconv achieves a super-polynomial speedup over DPccp, breaking the $O(3^n)$ time-barrier for the first time. We show that the instantiation of our framework for the $C_\max$ cost function is up to 30x faster than DPccp for large clique queries.
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DPconv:超快连接排序
我们重温了查询优化中的连接排序问题。标准精确算法 DPccp 的最坏运行时间为 $O(3^n)$。这对于大型查询来说昂贵得令人望而却步,而大型查询已不再罕见。我们开发了一种基于子集卷积的新算法框架。我们开发了基于子集卷积的新算法框架。与 DPccp 相比,DPconv 实现了超多项式提速,首次突破了 $O(3^n)$ 时间障碍。我们展示了我们的框架在$C_\max$成本函数上的实例化,在大型clique查询上比DPccp快了30倍。
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