Builds don't really matter in bots. I'd suggest branching out to PvP...you are, after all, level 16.
In PvP you'd get trashed with this build. None of it has any synergy.
I've played 100+ games with her with ~65-70% win rate (usually jungle) and this is how I build her:
End Game Full Build:
Merc Treads - You are up in the middle of the fight, you will be attacked, and likely cc'd, you need both the MR and the Tenacity that these boots provide
RoA - For Jungling it simply provides too much power and sustain
Rylai's - Added sustain for mid-late game teamfights, slow for chasing, AP
Deathcap - Obvious
Abyssal Scepter - Again, more MR, nice passive anti-aura, and AP
Zhonya's - Armor, AP, plus the active is nice if you end up getting focused a lot.
Situationally I'll build a Lich Bane but I find it doesn't really maximize her damage very much. She does a lot of AoE damage and so her potential in that area, I feel, should be maximized. It's the same with Kage's Pick to DFG, nice for single-target annihilation, but you have an AP Mid for that, let them do it, you're there to soak up damage, dish out damage, and chase down runners, not to focus damage to a single target.
Nashor's Tooth seems like it would be attractive but it actually doesn't do that much at all. It's situationally viable, again, for the pushing power it gives her against towers, but that's really all it does. There are better AP items, and CDR is nice but she needs survivability more than she needs damage. Her kit allows her to dish out a ton of damage without items anyway, so maximizing the amount of time she's in the fight actually does more than maximizing the amount of DPS she does.
I don't see why people bash the hell out of Rod of Ages either. It used to be used all the time and it seems now people seem to hate it. No stat is wasted on her at all. She needs health, she needs the early mana (and even late game she can be prone to running out of mana due to how effective she is at poking), and it gives a ton of AP - more than anything else in the build except Zhonya's and obviously Deathcap.
However, for laning I would honestly swap the RoA for an Athene's, especially in mid - more AP, solves mana issues, and MR for laning.