Many choices are complex. These choices entail consideration of multiple variables characterized by non-linear interactions. Prior research into the complex choice process of people neglects two categories of major choice determinants: heuristics and biases. This research takes on the challenge of integrating such behavior determinants into the study of complex choices. We do so using a new experimental paradigm in which participants tune on-screen dials that represent choice variables. Through their tuning efforts, participants can discover information about the choice space. Specifically, this new paradigm allows us to document how anchoring and framing effects impact the complex choice process. We find that loss framing incites participants to expend more effort examining choice variables before selecting an option. An aspirational anchor, on the other hand, was correlated with decreased search effort by participants. Interestingly, the two did not share an interaction. Additionally, when participants did not have an aspirational anchor, the data suggest they relied on prior experience for an anchor value.