CallSharp is a tool that uses artificial intelligence to automatically match inputs and outputs by determining the method call or chain of calls needed to transform the input into the output. It does this by exhaustively searching the methods of relevant types, considering single method calls, chained calls, and argument permutations to find a match. The document outlines challenges like complexity explosions due to large search spaces and the performance impact of reflection, and provides ideas for improvements like optimized static reflection, improved search algorithms, and distributed processing.