What's complex about the design? The main page seems brutally simple compared to Google or Bing. And the search results pages do not seem to have more interactable elements than Google/Bing. What is your metric of simplicity here?

Your one example is use of the color red, which may be an issue of taste or branding but not really simplicity. (And there are reasonably popular sites with very prominent red elements, like cnn.com)