A heuristic algorithm which identifies loads guaranteed to hit the processor cache which further provides a "minimal" set of prefetches which are scheduled/inserted during compilation of a program is disclosed. The heuristic algorithm of the present invention utilizes the concept of a "cache line" (i.e., the data chunks received during memory operations) in conjunction with the concept of "related" memory operations for determining which prefetches are unnecessary for related memory operations; thus, generating a minimal number of prefetches for related memory operations.