Searching for `Type::prefix` does not prioritize methods on `Type` over doc aliases that start with `prefix` on a different type

Code

// lib.rs of a normal cargo project `cargo new --lib rustdoc_repro`
pub struct Foo;

impl Foo {
    pub fn bar_first() {}
    pub fn bar_last() {}
}

pub struct Quux;

impl Quux {
    #[doc(alias = "bar_first")]
    pub fn phooey1() {}
    #[doc(alias = "bar_etc")]
    pub fn phooey2() {}
}

Reproduction Steps

• cargo +nightly doc --open
• Search for Foo::bar

Expected Outcome

When searching Foo::bar, Foo::bar_first and Foo::bar_last should be prioritized over Quux::phooey1 and Quux::phooey2 (if those are shown at all).

Actual Output

The methods are shown in this order in the search results:

• bar_etc - see rustdoc_repro::Quux::phooey2
• rustdoc_repro::Foo::bar_last
• bar_first - see rustdoc_repro::Quux::phooey1
• rustdoc_repro::Foo::bar_first

Version

$ rustdoc +nightly --version --verbose
rustdoc 1.91.0-nightly (69b76df90 2025-08-23)
binary: rustdoc
commit-hash: 69b76df90c7ea63b5350d1865f92902a0b27c9a2
commit-date: 2025-08-23
host: x86_64-unknown-linux-gnu
release: 1.91.0-nightly
LLVM version: 21.1.0

@rustbot label A-rustdoc-search

Additional Details

Related to #140968, but in that example there is no leading type, and that issue has been since before 1.87.0.

Bisected: the behavior changed in https://github.com/rust-lang/rust/pull/144476, before that count_ones didn't show up in the search results for BTreeSet::pop at all.

This is minimzed from the stdlib nightly docs, where I searched for BTreeSet::pop and got 18 different popcnt - see integer::count_ones methods before BTreeSet::pop_first and BTreeSet::pop_last (which were what I was looking for).

Start with the minimized rustdoc_repro crate and run cargo +nightly doc --open, then search for Foo::bar in the generated rustdoc. Compare the ordering of Foo methods with Quux doc aliases, and use the related issue and bisected pull request as context. Done means type-qualified methods are prioritized over unrelated aliases.