[ci] add router benchmark script and CI (#7498)

.github/workflows/pr-test-rust.yml

@@ -40,6 +40,20 @@ jobs:
           cd sgl-router/
           cargo test
 
+      - name: Check benchmark compilation
+        run: |
+          source "$HOME/.cargo/env"
+          cd sgl-router/
+          cargo check --benches
+
+      - name: Quick benchmark sanity check
+        timeout-minutes: 10
+        run: |
+          source "$HOME/.cargo/env"
+          cd sgl-router/
+          # Run quick benchmarks to ensure they work using Python script
+          python3 scripts/run_benchmarks.py --quick
+
   e2e-python:
     if: github.repository == 'sgl-project/sglang' || github.event_name == 'pull_request'
     runs-on: 2-gpu-runner