SPOOF: Sum-Product Optimization and Operator Fusion for Large-Scale Machine Learning

Systems for declarative large-scale machine learning (ML) algorithms aim at high-level algorithm specification and automatic optimization of runtime execution plans. State-ofthe-art compilers rely on algebraic rewrites and operator selection, including fused operators to avoid materialized intermediates, reduce memory bandwidth requirements, and exploit sparsity across chains of operations. However, the unlimited number of relevant patterns for rewrites and operators poses challenges in terms of development effort and high performance impact. Query compilation has been studied extensively in the database literature, but ML programs additionally require handling linear algebra and exploiting algebraic properties, DAG structures, and sparsity. In this paper, we introduce Spoof, an architecture to automatically (1) identify algebraic simplification rewrites, and (2) generate fused operators in a holistic framework. We describe a snapshot of the overall system, including key techniques of sum-product optimization and code generation. Preliminary experiments show performance close to hand-coded fused operators, significant improvements over a baseline without fused operators, and moderate compilation overhead.