Benchmark and improve tool-search ranking with indexed BM25

Inizia individuando l’implementazione esistente di tool-search del server e analizzando il benchmark del prototipo e i relativi test unitari per l’indicizzazione dei nomi degli strumenti, delle descrizioni, dei nomi dei parametri e delle descrizioni dei parametri. Conferma l’ambito preferito con i maintainer, quindi misura la strategia di ranking selezionata rispetto al benchmark con 49 query e 115 strumenti e riporta la qualità del recupero e la latenza senza regressioni.

Describe the feature or problem you’d like to solve

The GitHub MCP Server already exposes tool discovery/search functionality, but
there is no repeatable benchmark for measuring how reliably natural-language
queries retrieve the intended MCP tool.

As the tool inventory grows, a benchmark would make ranking changes measurable
and help prevent retrieval regressions.

This is separate from host-side deferred tool loading discussed in #1680. The
proposal only concerns ranking inside the server's existing tool-search
implementation.

Proposed solution

Add a hand-labelled benchmark covering natural-language intents across the
server's major toolsets, then compare the current heuristic with an indexed
BM25 implementation.

A prototype benchmark contains 49 queries over 115 unique tools and produced:

Indexed BM25 improved Recall@3 by 6.1 percentage points and was approximately
66x faster per query. The hybrid produced the strongest ranking quality.

Before submitting a PR, I would appreciate maintainer guidance on the preferred
scope:

1. Benchmark harness only
2. Benchmark plus indexed BM25
3. Benchmark plus a hybrid ranking experiment

Example prompts or workflows

• "Find open issues assigned to me across repositories"
• "Read the files, reviews, and diff for a pull request"
• "Download logs for a failed workflow job"
• "Find exposed secrets detected in a repository"
• "Add an issue to a GitHub project"

Additional context

The benchmark uses the complete current tool inventory and validates that every
labelled relevant tool exists. The prototype includes unit tests for indexing
tool names, descriptions, parameter names, and parameter descriptions.