Before revision:  The motivation for this decomposition is to dramatically reduce the size of the search space , and to also prioritize the optimization of off-chip data movement, which is 2-3 orders of magnitude more compared to the on-chip data movement.
After revision:  The motivation for this decomposition is to dramatically reduce the size of the search space dramatically and also to prioritize the optimization of off-chip data movement, which is 2-3 orders of magnitude more compared to the on-chip data movement.