My DD also doesn't sleep much during the day. My MCHN gave me a guide that advised babies around 3-4 months will generally sleep for about 15 hours in a day. My DD will sleep at night from about 8.30pm and then stir at around 6am. We put the dummy in again and she will sleep again until sometimes 7am sometimes 8am and then have a play and go back to sleep again.

So all up she probably sleeps for about 13 hours from going to bed at night to when she wakes up for her first feed.... meaning that she will only sleep about 3 times during the day for about 45 minutes max each time. It is hard work during the day, but on the flip side is that we get a full nights sleep from her and I now do all my housework etc, when she goes to bed or before she wakes in the morning.

I hope you get some rest though before you go crazy...