One embodiment of the present invention sets forth a graphics processing system. The graphics processing system includes a screen-space pipeline and a tiling unit. The screen-space pipeline is configured to perform visibility testing and fragment shading. The tiling unit is configured to determine that a first set of primitives overlaps a first cache tile. The tiling unit is also configured to first transmit the first set of primitives to the screen-space pipeline with a command configured to cause the screen-space pipeline to process the first set of primitives in a z-only mode, and then transmit the first set of primitives to the screen-space pipeline with a command configured to cause the screen-space pipeline to process the first set of primitives in a normal mode. In the z-only mode, at least some fragment shading operations are disabled in the screen-space pipeline. In the normal mode, fragment shading operations are enabled.