A device driver is configured to identify a group of compute shaders to be executed in multiple traversals of a graphics processing pipeline. Each such compute shader accesses a compute tile of data having particular dimensions. The device driver interoperates with a tiling unit to determines dimension for a cache tile so that an integer multiple of each compute tile will fit evenly within the cache tile. Thus, when executing compute shaders in different traversals of the graphics processing pipeline, the data processed by those compute shaders can be cached in the cache tile between passes.