Some embodiments provide a method for a managed forwarding element that processes packets by comparing packet header field values of the packets to flow entries arranged in several tables. The method identifies a flow entry matched by the particular packet in a first table of the plurality of tables. When the matched flow entry in the first table belongs to one of several dimensions of a conjunctive set of flow entries, the method searches at least a second additional table for a flow entry matched by the particular packet that belongs to another of the several dimensions of the conjunctive set of flow entries. When flow entries from each of the several dimensions are matched by the particular packet, the method performs an action specified by a particular additional flow entry referenced by the matched flow entries from the several dimensions of the conjunctive set of flow entries.