A computer program product is provided for extracting SIMD parallelism. The computer program product includes instructions for providing a stream of input code comprising basic blocks; identifying pairs of statements that are semi-isomorphic with respect to each other within a basic block; iteratively combining into packs, pairs of statements that are semi-isomorphic with respect to each other, and combining packs into combined packs; collecting packs whose statements can be scheduled together for processing; and generating SIMD instructions for each pack to provide for extracting the SIMD parallelism..