See for example
http://neuromuscular.wustl.edu/mtime/mgrx.html
for sensible Pred taper schemes.
Each step with Pred tapering always gave me problems during about 2 weeks, irrespective of the Pred level.
I'm now on 10 mg one day and 6 mg the other day and I still have these "bad" days. Each step lasts 6 weeks...the next one is 10/5 and I see my neuro every 5 months now.
Maurice.