Earlier quoted context omitted.
Instead of optimizing the original prompt, if it spits out something wrong, try and point out the mistake, it is pretty quick to fix it in most cases.
The problem I had was that I didn't see where the mistake was... once I know the mistake pointing it out is pointless.
I had an interesting interaction where it said something wrong - I corrected it, and it accepted the correction. I was then curious to what extent it was a pushover - and took back my correction and said that what it originally said was right. It then responded along the lines of "I'm sorry for causing confusion - but is right, and my initial statement was wrong". Pretty impressive!