I don't even know what a crash on iOS looks like. I got my 5s last November and it's restarted once. What exactly happens in a crash?
Because let me tell you. Android app force closes were plentiful and extremely annoying.
I think you are referring to springboard crashes! It seems that's what happen to your phone. Apple logo appears for few seconds (like it does when starting your iPhone) and then all goes back to normal.
And then there are app crashes, for various reasons they close! I have only ever experienced such thing on jailbroken device and iOS7 betas on iPhone 5 and 5s.