Refactor pretty printing to use the compiler API

[nrc]

No description provided.

[rust-highfive]

r? @arielb1

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[nrc]

This is a [breaking-change] if you are using the compiler API (I guess that should be in a commit message).

[bors]

☔ The latest upstream changes (presumably #33089) made this pull request unmergeable. Please resolve the merge conflicts.

[nrc]

rebased

r? @pnkfelix

[bors]

☔ The latest upstream changes (presumably #33296) made this pull request unmergeable. Please resolve the merge conflicts.

[pnkfelix]

@nrc r=me sorry I didn't get to it before it hit a new conflict

[nrc]

@bors: r=pnkfelix

[bors]

📌 Commit c1c6e99 has been approved by pnkfelix

[bors]

⌛ Testing commit c1c6e99 with merge 7d8100a...

[bors]

☀️ Test successful - auto-linux-32-nopt-t, auto-linux-32-opt, auto-linux-32cross-opt, auto-linux-64-cargotest, auto-linux-64-cross-armhf, auto-linux-64-cross-armsf, auto-linux-64-cross-freebsd, auto-linux-64-cross-netbsd, auto-linux-64-debug-opt, auto-linux-64-nopt-t, auto-linux-64-opt, auto-linux-64-opt-mir, auto-linux-64-opt-rustbuild, auto-linux-64-x-android-t, auto-linux-cross-opt, auto-linux-musl-64-opt, auto-mac-32-opt, auto-mac-64-nopt-t, auto-mac-64-opt, auto-mac-64-opt-rustbuild, auto-mac-cross-ios-opt, auto-win-gnu-32-nopt-t, auto-win-gnu-32-opt, auto-win-gnu-32-opt-rustbuild, auto-win-gnu-64-nopt-t, auto-win-gnu-64-opt, auto-win-msvc-32-cross-opt, auto-win-msvc-32-opt, auto-win-msvc-64-cargotest, auto-win-msvc-64-opt, auto-win-msvc-64-opt-mir, auto-win-msvc-64-opt-rustbuild