[Core] Skip worker ray start for multinode (skypilot-org#4390)

* Optimize ray start

* add comments

* update logging

sky/provision/provisioner.py

@@ -537,14 +537,16 @@ def check_ray_port_and_cluster_healthy() -> Tuple[int, bool, bool]:
                 instance_setup.RAY_STATUS_WITH_SKY_RAY_PORT_COMMAND,
                 stream_logs=False,
                 require_outputs=True)
-            if returncode:
-                logger.debug('Ray cluster on head is not ready.')
-            else:
-                logger.debug('Ray cluster on head is ready.')
+            if not returncode:
                 ray_port = common_utils.decode_payload(stdout)['ray_port']
+                logger.debug(f'Ray cluster on head is up with port {ray_port}.')
+
             head_ray_needs_restart = bool(returncode)
-            ray_cluster_healthy = is_ray_cluster_healthy(
-                stdout, cluster_info.num_instances)
+            # This is a best effort check to see if the ray cluster has expected
+            # number of nodes connected.
+            ray_cluster_healthy = (not head_ray_needs_restart and
+                                   is_ray_cluster_healthy(
+                                       stdout, cluster_info.num_instances))
             return ray_port, ray_cluster_healthy, head_ray_needs_restart
 
         status.update(
@@ -585,6 +587,9 @@ def check_ray_port_and_cluster_healthy() -> Tuple[int, bool, bool]:
                 custom_resource=custom_resource,
                 cluster_info=cluster_info,
                 ssh_credentials=ssh_credentials)
+        else:
+            logger.debug('Ray cluster on head is ready. Skip starting ray '
+                         'cluster on head node.')
 
         # NOTE: We have to check all worker nodes to make sure they are all
         #  healthy, otherwise we can only start Ray on newly started worker
@@ -610,6 +615,9 @@ def check_ray_port_and_cluster_healthy() -> Tuple[int, bool, bool]:
                 ray_port=ray_port,
                 cluster_info=cluster_info,
                 ssh_credentials=ssh_credentials)
+        elif ray_cluster_healthy:
+            logger.debug('Ray cluster is ready. Skip starting ray cluster on '
+                         'worker nodes.')
 
         instance_setup.start_skylet_on_head_node(cluster_name.name_on_cloud,
                                                  cluster_info, ssh_credentials)