"AllEventsDistinctElementsCount" (aka "AtomsCountTotal") and "AllEventsEdgesCount" (
aka "ExpressionsCountTotal") are similar to "FinalDistinctElementsCount"
and "FinalEdgeCount", except they count atoms and edges throughout the entire evolution
instead of just in the final step.
For instance,
In[] := WolframModel[{{1, 2, 3}, {2, 4, 5}} ->
{{6, 6, 3}, {2, 6, 2}, {6, 4, 2}, {5, 3, 6}},
{{1, 1, 1}, {1, 1, 1}}, 10,
{"AllEventsDistinctElementsCount", "AllEventsEdgesCount"}]
Out[] = {622, 2486}