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Ok maybe I'am thinking this the wrong way, less hits equals more damage with frost spec whereas arcane is more hits less damage?
I'am just worried about getting smashed at close range waiting to cast frostbolt whereas arcane missle is instant.
I got the frostbolt spec wrong, its 0.1 per talent up tp 5 so is really half a second save in cast time that big a deal?
Yes the speed differential is significant given the centrality of frostbolt in the rotation.
When I am frost specced (and I leveled mostly as frost, although now I tend to bounce back and forth between all three specs depending on my mood), I generally start with frostbolt 2-3 times, when mob is close to being on me then frost nova and strafe, then more frostbolts until dead, or perhaps a fire blast at the end if I'm being impatient and inefficient about things. Pretty mana efficient, you don't take any damage at all if you time the nova correctly, and very good for farming or that kind of thing. As frost, you do mega damage against any target that is frozen, so the goal is to freeze your targets as often as possible -- it's offense as well as defense. Between frost nova, your ice barrier shield and your water elemental, you shouldn't be taking any hits as a frost mage at all.
The arcane spells are very mana inefficient. The only feasible way to use them a lot is if you are arcane specced and have a lot of the arcane talents, but even then it's quite a bit less mana efficient than either a frost or fire spec (but great fun for an occasional offspec).