One feature worth noting, in this game system, is that an army of 20,000 EF4 troops will always beat 10,000 EF8 troops. The troops will inflict the same number of casualties initially on each other, but the larger army absorbs the casualties more easily. An exact example of this occurred in AU5, when Spain attacked Sardinia with 4 brigades of good quality troops and was comfortably beaten by 8 newly recruited Naples brigades. Some troop types are better than others in different circumstances. Cavalry gain no advantage from their horses in mathematical battles, and cavalry without firepower are positively awful.
Cavalry are expensive losses to replace.
However cavalry in a simulated battle are much more valuable, when their speed and shock combat value become apparent. The ability to form certain formations is worthless in a mathematical battle, but square and skirmish formation are very important in a simulated battle. Artillery is useful in a mathematical but can be king on the simulated battlefield, where firepower and long range are important factors. Building Armies Troops should ideally be built into multiples of 12 of each troop type. Odd battalions get lumped together and take on the characteristics of the weakest troop type present.