1. A computer-implemented method for rasterizing primitives, comprising: receiving a bounding box that entirely encloses a primitive and overlaps a first sample included in a first fine raster tile and a second sample included in a second fine raster tile; determining that the primitive is small based on dimensions of the bounding box; computing per-sample coverage for the primitive within a sub-tile that overlaps the first fine raster tile and the second fine raster tile, wherein the sub-tile includes a predetermined number of pixels that is less than a number of pixels within either of the first fine raster tile or the second fine raster tile; determining that at least one sample within the sub-tile and the first fine raster tile is covered by the primitive according to the per-sample coverage prior to computing fine raster information for the primitive within the first fine raster tile; in response to determining that the at least one sample is covered by the primitive within the first fine raster tile, computing fine raster information for the first fine raster tile; determining that no sample within the sub-tile and the second fine raster tile is covered by the primitive according to the per-sample coverage prior to computing fine raster information for the primitive within the second fine raster tile; and in response to determining that no sample within the sub-tile and the second fine raster tile is covered by the primitive, determining that fine raster information will not be computed for the primitive within the second fine raster tile.