Add Rust implementation of SQLite vs Doublets benchmark

.github/workflows/rust.yml

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+name: Rust
+
+on:
+  push:
+    branches: main
+    paths:
+      - 'rust/**'
+      - '.github/workflows/rust.yml'
+  pull_request:
+    paths:
+      - 'rust/**'
+      - '.github/workflows/rust.yml'
+
+env:
+  CARGO_TERM_COLOR: always
+  RUST_BACKTRACE: 1
+
+defaults:
+  run:
+    working-directory: rust
+
+jobs:
+  test:
+    name: Test (${{ matrix.os }})
+    runs-on: ${{ matrix.os }}
+    strategy:
+      fail-fast: false
+      matrix:
+        os: [ubuntu-latest, macos-latest, windows-latest]
+    steps:
+      - uses: actions/checkout@v4
+
+      - name: Setup Rust
+        uses: dtolnay/rust-toolchain@master
+        with:
+          toolchain: nightly-2022-08-22
+
+      - name: Cache cargo registry
+        uses: actions/cache@v4
+        with:
+          path: |
+            ~/.cargo/registry
+            ~/.cargo/git
+            rust/target
+          key: ${{ runner.os }}-cargo-${{ hashFiles('rust/Cargo.lock') }}
+          restore-keys: |
+            ${{ runner.os }}-cargo-
+
+      - name: Run tests
+        run: cargo test --release

rust/.gitignore

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+/target/
+*.db
+*.links