Some embodiments provide a method for a forwarding element that receives a packet. The method determines whether the packet matches any flow entries in a first cache that uses a first type of algorithm to identify matching flow entries for packets. When the packet does not match any flow entries in the first cache, the method determines whether the packet matches any flow entries in a second cache that uses a second, different type of algorithm to identify matching flow entries for packets. The method executes a set of actions specified by a flow entry matched by the packet in one of the first and second caches.