added test case summary and a note on the single failure we have

Author: codegithubka

docs/kimon_updates.md

@@ -1,4 +1,4 @@
-## Refactoring and Optimization Update
+## Refactoring and Optimization Update (22/1)
 
 ---
 
@@ -10,7 +10,6 @@ This method is the primary interface for the async update mode in the PP model.
 
 Kernel execution: ```self._kernel.update(..)```  uses pre-allocated ```PPKernel``` to modify the gruid and parameter arrays on place.
 
-
 We mutate the ```grid``` and the ```p_death_arr`` at the same time.
 
 ---
@@ -216,4 +215,69 @@ Directed Hunting Overhead
 
 As a resultl, we can probably use a 1000x1000 grid for our HPC simulation!
 
+## Testing and HPC Run Update (23/1)
+
+HPC Run Estimate (we are using 32 cores)
+
+bash
+```
+2026-01-22 21:09:55,625 [INFO] ============================================================
+2026-01-22 21:09:55,625 [INFO] PP Evolutionary Analysis - OPTIMIZED VERSION
+2026-01-22 21:09:55,625 [INFO] ============================================================
+2026-01-22 21:09:55,625 [INFO] Mode: full
+2026-01-22 21:09:55,626 [INFO] Output: results
+2026-01-22 21:09:55,626 [INFO] Cores: -1
+2026-01-22 21:09:55,626 [INFO] Numba: ENABLED
+2026-01-22 21:09:55,626 [INFO] Directed hunting: DISABLED
+2026-01-22 21:09:55,626 [INFO] Estimated: 23,000 sims, ~0.1h on 96 cores (~5 core-hours)
+2026-01-22 21:09:55,626 [INFO] Dry run - exiting
+(snellius_venv) [kanagnostopoul@int5 ~]$ 
+```
+
 ### Tests
+
+```test_pp_analysis```
+
+We have 58 test cases (one might fail to to messing with the grid size init default):
+
+```
+Run with:
+    pytest test_pp_analysis.py -v
+    pytest test_pp_analysis.py -v -x  # stop on first failure
+```
+
+Do not be alarmed by this if I forgot to change the test case to match the default value. The final grid size should be solidified by Friday.
+
+```
+def test_config_default_values(self, default_config):
+        """Config should have sensible defaults."""
+>       assert default_config.default_grid == 100
+E       assert 1000 == 100
+
+```
+---
+
+```test_numba_optimized```
+
+Run with:
+```
+    pytest test_numba_optimized.py -v
+    pytest test_numba_optimized.py -v --tb=short  # shorter traceback
+    python test_numba_optimized.py  # without pytest
+```
+
+
+We have 48 tests cases validating the folloiwing:
+
+- Imports
+- Kernel Initialization
+- Buffer allocation
+- Async updates
+- Evolution
+- Directed and undirected kernel methods
+- PCF behavior
+- Cluster metrics
+- Warmup
+- Edge cases with extreme parameter values
+
+