Sorry to hear you've been feeling so rubbish, but just wanted to say that in my experience of fluoxetine, jitteriness, sweatiness and ramped up anxiety (which was the worst thing) is completely normal to begin with.
I took it a long time ago, so can't remember quite how long this went on, but it was absolutely horrible while it lasted. For me, it started after the first week and went on for between 2 and 3 weeks, from memory. After that, all of a sudden, things started to improve and one day I realised that I was experiencing a strange emotion - I felt happy, for the first time in a long time.
The first time I took it was for PND, then had to take it again a few years later. The second time round, I was expecting the awful anxiety and knew it would soon go away, but it was terrifying first time round.
Not a miracle cure by any means, and things were still up and down for quite a while, but once the side effects disappeared, things were so much better. I took it in the morning to try and maximise my chance of sleeping at night, although my understanding GP also prescribed Temazepam for a very short period at night until the fluoxetine kicked in.
Definitely ask your GP for advice, but hopefully things will soon start to improve for you 