search.yahoo.com/?fr=ush2-mail
  

If you want the bare bones Yahoo search without any distractions what soever – you can bookmark this link

It is about as clean as search can be

Interesting, they appeared to have cleaned it up compared to the old search.yahoo.com:
web.archive.org/web/2007012818 ...

I wonder how many people actually use search.yahoo.com. 90% of their users probably go directly to yahoo.com instead.

If you do a blank search in the Yahoo box in Firefox's right hand search bar, you get this design.

It just shows this URL though: search.yahoo.com/

You mean Yoogle?