[Doc] Perf: Last week improvement (#15193)

* doc: perf update

* fix: mixed up changes

* fix: add gist

docs/my-website/release_notes/v1.75.5-stable/index.md

@@ -51,6 +51,31 @@ pip install litellm==1.75.5.post2
 - **Digital Ocean's Gradient AI** - New LLM provider for calling models on Digital Ocean's Gradient AI platform.
 
 
+### 54% RPS Improvement
+
+Throughput increased by 54% (1,040 → 1,602 RPS, aggregated) per instance while maintaining a 40 ms median overhead. The improvement comes from fixing major O(n²) inefficiencies in the router, primarily caused by repeated use of in statements inside loops over large arrays. Tests were run with a database-only setup (no cache hits). As a result, p95 latency improved by 30% (2,700 → 1,900 ms), enhancing overall stability and scalability under heavy load.
+
+---
+
+### Test Setup
+
+All benchmarks were executed using Locust with 1,000 concurrent users and a ramp-up of 500. The environment was configured to stress the routing layer and eliminate caching as a variable.
+
+**System Specs**
+
+- **CPU:** 8 vCPUs
+- **Memory:** 32 GB RAM
+
+**Configuration (config.yaml)**
+
+View the complete configuration: [gist.github.com/AlexsanderHamir/config.yaml](https://gist.github.com/AlexsanderHamir/53f7d554a5d2afcf2c4edb5b6be68ff4)
+
+**Load Script (no_cache_hits.py)**
+
+View the complete load testing script: [gist.github.com/AlexsanderHamir/no_cache_hits.py](https://gist.github.com/AlexsanderHamir/42c33d7a4dc7a57f56a78b560dee3a42)
+
+---
+
 ### Risk of Upgrade
 
 If you build the proxy from the pip package, you should hold off on upgrading. This version makes `prisma migrate deploy` our default for managing the DB. This is safer, as it doesn't reset the DB, but it requires a manual `prisma generate` step.