I recently lost New Leaf and pretty much checked every part of my house where I thought I'd lose the game, like the closets, under my bed, between couches, around my computer desk, in my drawers. However, I've had no luck and I'm not sure whether or not I should continue on looking or just save myself the time and purchase the game again.
Honestly if it was me I would look around for about one more week and if I wouldn't be able to find it, buy a new copy. Things can end up in the most obvious or silliest of places in my house, so I can't imagine it being much different ^^
You don't have any pets that could've swallowed it, do you? Just another idea where it could've gone. My dad used to have dogs that would try to eat anything, even if it wasn't edible.
I agree with MayorNoodl. Keep looking for a bit longer, and if you can't find it, buy a new copy then. Sometimes I've found stuff a few days after losing it just because it was in a place I didn't think to check, or thought I checked but didn't.
Hmm... did you take it out to play another game? I'd check all the DS game cases you have. I also always end up putting stuff in random bags and finding them there later, so that's another suggestion