Word for "multiple effects apply."

I'm designing a game where, when players perform spcial game actions, their die rolls can receive bonuses. For instance, if you roll a 4 and have a +1 bonus, your final result is 5.

Now, some of these bonuses stack while others do not. Whether a bonus stacks depends on the effect that supplied the bonus.

By "stack," I mean "multiple bonuses combine into a larger bonus." If a player gets a +1 stacking bonus, a +1 stacking bonus, a +3 non-stacking bonus, and a +3 non-stacking bonus, the two +1 bonuses combine into a +2 bonus. The player is allowed to apply this combined bonus and one non-stacking bonus to his roll. In this case, he would increase his roll by +5 in total.

I don't think "stacking" is a very good word for this, however, so I'm looking for another word that can describe the bonuses that combine.

Any suggestions are welcome.


Cumulative:

  1. Increasing or becoming better or worse over time through a series of additions
  2. Including or adding together all of the things that came before

[Merriam-Webster]

As an example, in Paizo Pathfinder RPG's Getting Started page you can read:

Most bonuses have a type, and as a general rule, bonuses of the same type are not cumulative (do not "stack")—only the greater bonus granted applies.