It's generally nuke everything while overdrive is active. You'll want to have high TP and potential boost augments. Potential is the damage you put out while using arts that use TP.
The general nuke eveything arts are Ghost Walker, Primer, Offensive Stance and Blossom Dance. Both Offensive Stance and Blossom Dance require 1000 TP each. Blossom Dance is obtained after clearing Nagi's affinity missions.
What I generally do is start with Ghost Walker, Overdrive, Offensive Stance, Tornado Blade, True Stream Edge, Zero Zero and repeat. My damage isn't too high as I'm trying to farm for things like Potential Boost XX. The idea is to keep your TP up while dishing out as much damage as possible.
I can survive encounters of up to level 80 solo, but the really massive creatures I don't stand a chance against.
Edit: This is an example of what you can do if you invest a lot of time into the game or farming battle tickets for some of the crazy damage augments.
https://youtu.be/hO29jyYpxOU
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