I just checked both browsers doing this sequence.

- Errased Cookies and History for both browsers
- Checked manually that no file was hidden somewhere in the cache (cookies and history)
- Opened both browsers and directed them to same datacenter
- Performed 5 different searchs (3 words each)

Results: NO DIFFERENCE, I got the exact same results, I even checked up to 50 results!!! and no Difference at all!!!!