Wiby.org Privacy Policy

Raw access logs are kept for up to 48 hours and automatically deleted beyond such time.
Raw access logs existing within the 48 hour period are private; they are not shared with third parties.

Wiby.org uses Microsoft Bing's search results and Wiby.me search results combined together.
Your IP and user agent is not sent to Microsoft. Only your search query is sent to deliver Bing results.
Bing (Microsoft) has its own privacy policy in regards to the search queries that are sent to them. You may read it here.