APT 2.9.3 introduces the first iteration of the new solver codenamed solver3, and now available with the –solver 3.0 option. The new solver works fundamentally different from the old one.
How does it work? Solver3 is a fully backtracking dependency solving algorithm that defers choices to as late as possible. It starts with an empty set of packages, then adds the manually installed packages, and then installs packages automatically as necessary to satisfy the dependencies.