Diammonium phosphate is pretty much the definition of yeast nutrient.
Citric acid enhances inversion, or the breakdown of sucrose into fructose and glucose, which then go on to react with nitrogen compounds (the ammonium in DAP) to form maillard products. The phosphate forms phosphoric acid and acts in a similar role when you use DAP.
High pH helps to drive maillard reactions, so the best course would be to first invert the sucrose, neutralize the acid (although you can invert just through elevated temp), and then perform the maillard forming step at a raised pH.
Also, when you change the source of nitrogen (DAP) or have a more complex source (DAP + yeast) you will create a different flavor profile.
http://www.midwestsupplies.com/yeast-energizer-vs-yeast-nutrient.html