Half Awake or Half Asleep?

I wonder if these two phrases has the same meaning with the famous philosophical line about seeing a glass of water as "Half empty or half full." They are both correct but your choice would determine how you view life in general. I wonder if I could apply this idea in my friend's situation last night. If I say that she was "half awake" when we were chatting on skype, would it make me an optimistic person? Or would I become a pessimist if I would say that she was "half asleep"? I was working with my part time job  at 2am when she was still awake doing some stuff for her classes. It is not uncommon for her to stay up until 2 or 3am and get up at 7 or 8am and start working. We were both working so we only exchanged few short messages. I was on the phone when she sent  three different words to me. First was, lddp which I thought was some acronym about computer stuff. Second was speep, which gave the idea that was she meant was  the word "sleep". Third was "speed" so I got another idea that she might have some problems with her internet connection. When I asked her what was that, she was gone, so I just said goodnight and  my mind was left  wondering what she meant in her last message. She just reviewed the message today and she thought it was funny because what she really meant was "sleep nko", which means "I'll sleep now or simply goodnight." I think this is a cute blooper from someone who is "half awake or half asleep " because I could picture her typing and one eye was closed and the other was opened so she still managed to hit the keyboard. Hehehehe but the other eye refused to opened to she didn't hit the right letters. Sometimes we force our body to stay up so late at night because we have so many things to do, but the brain sometimes doesn't cooperate.  I wish there were more than 24 hours in a day, and I wish that we didn't have to sleep like 7-8 hours to make us feel good the next day. If there is something I wish  science could do, it would be something that would ELIMINATE sleep from human system so we could fully maximize our 24 hours and we would be able to do more things before our next journey.  Don't get me wrong, I LOVE sleeping, but if our body would not long for it then that would be wonderful.
Here is a copy of our chat below. Do you think that she was half awake or half asleep?