[V1] Simplify stats logging (#14082)

Signed-off-by: Nick Hill <nhill@redhat.com>

vllm/v1/engine/core.py

@@ -316,19 +316,10 @@ class EngineCoreProc(EngineCore):
         # Loop until process is sent a SIGINT or SIGTERM
         while True:
             # 1) Poll the input queue until there is work to do.
-            if not self.scheduler.has_unfinished_requests():
-                while True:
-                    try:
-                        req = self.input_queue.get(timeout=POLLING_TIMEOUT_S)
-                        self._handle_client_request(*req)
-                        break
-                    except queue.Empty:
-                        logger.debug("EngineCore busy loop waiting.")
-                        # Break out the loop so we can log_stats in step().
-                        if self.log_stats:
-                            break
-                    except BaseException:
-                        raise
+            while not self.scheduler.has_unfinished_requests():
+                logger.debug("EngineCore busy loop waiting.")
+                req = self.input_queue.get()
+                self._handle_client_request(*req)
 
             # 2) Handle any new client requests.
             while not self.input_queue.empty():