std::any::type_name was created and stabilized within the same version, so the link won't work until 1.38.0 goes live. You can see that redirecting to the beta docs the equivalent link works: https://doc.rust-lang.org/beta/std/any/fn.type_name.html.
I would like signal to downstream that with this version, cargo uses libgit2-sys crate which broke the compatibility with libgit2-0.28 branch and depend on unreleased libgit2 version.
$ cargo install test
Updating crates.io index
error: failed to fetch `https://github.com/rust-lang/crates.io-index`
Caused by:
invalid version 3 on git_proxy_options; class=Invalid (3)