A network element and method for programming a network element that includes detecting an update to a first route in a routing information base (RIB) is disclosed. The method includes locating a first route network prefix associated with the first route within a network prefix trie (NPT); determining that, prior to the update, a first parent network prefix and the first route network prefix were reachable using a pair of different next hops connected to the network element; and determining that, after the update, the first parent network prefix and the first route network prefix are reachable using a first common next hop connected to the network element. The method also includes removing an existing forwarding information base (FIB) entry in the FIB associated with the first route network prefix.