Architecture and Performance of Devito, a System for Automated Stencil Computation

Author:

Luporini Fabio1ORCID,Louboutin Mathias2ORCID,Lange Michael3,Kukreja Navjot1,Witte Philipp2,Hückelheim Jan1,Yount Charles4,Kelly Paul H. J.1,Herrmann Felix J.2,Gorman Gerard J.1

Affiliation:

1. Imperial College London, London, United Kingdom

2. Georgia Institute of Technology

3. European Centre for Medium-Range Weather Forecasts

4. Intel Corporation

Abstract

Stencil computations are a key part of many high-performance computing applications, such as image processing, convolutional neural networks, and finite-difference solvers for partial differential equations. Devito is a framework capable of generating highly optimized code given symbolic equations expressed in Python , specialized in, but not limited to, affine (stencil) codes. The lowering process—from mathematical equations down to C++ code—is performed by the Devito compiler through a series of intermediate representations. Several performance optimizations are introduced, including advanced common sub-expressions elimination, tiling, and parallelization. Some of these are obtained through well-established stencil optimizers, integrated in the backend of the Devito compiler. The architecture of the Devito compiler, as well as the performance optimizations that are applied when generating code, are presented. The effectiveness of such performance optimizations is demonstrated using operators drawn from seismic imaging applications.

Funder

Imperial College London Intel Parallel Computing Centre

Imperial College London Department of Computing

U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research, Applied Mathematics and Computer Science

Georgia Research Alliance

Engineering and Physical Sciences Research Council

Georgia Institute of Technology

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

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