Hey Matt, would you consider making a search box (input with id="q") a bit wider? I can type only around 15 characters before the beginning of search query becomes "cut off".
I went to check out a few example searches and the too-narrow search bar is the first annoyance I found.
The next annoyance was that the crawled index seems much smaller than google's or bing's. I looked for things I know exist on twitter, on an old wordpress blog, on obscure websites I frequent: forcing terms to not be skipped using + I could see that none of my test cases were in the index.
The too small text box is also a pain when deleting the query in order to type a new one on mobile. A clear button would mitigate some of this pain although making the field larger would probably be sufficient