Sympiler is a domain-specific code generator that optimizes sparse matrix
computations by decoupling the symbolic analysis phase from the numerical
manipulation stage in sparse codes. The computation patterns in sparse
numerical methods are guided by the input sparsity structure and the sparse
algorithm itself. In many real-world simulations, the sparsity pattern changes
little or not at all. Sympiler takes advantage of these properties to
symbolically analyze sparse codes at compile-time and to apply inspector-guided
transformations that enable applying low-level transformations to sparse codes.
As a result, the Sympiler-generated code outperforms highly-optimized matrix
factorization codes from commonly-used specialized libraries, obtaining average
speedups over Eigen and CHOLMOD of 3.8X and 1.5X respectively.Comment: 12 page