In the event of a forced tree rebuild via fountainAdmin, the time spent in the rebuilding algorithm should be logged so we can compare this time to the existing tree recovery numbers.
The idea here is that we'll know the number of nodes in the tree topology both before, and after the rebuild because we forced Fountain to do so and no nodes were lost. To accomplish this, the size of the tree topology container is recorded before rebuilding. During the rebuild state, when the tree toplogy container reaches its previous size, we transition to the idle state and log the elapsed time. This time should represent somewhat of a maximum time spent in the rebuilding algorithm for that particular tree configuration. It will probably scale linearly with the size of the tree, but it may become faster as the tree degree is increased.
