Log how much time loading a compiled artifact takes (vllm-project#16848)

Signed-off-by: rzou <zou3519@gmail.com>
Signed-off-by: Yang Wang <elainewy@meta.com>

Author: zou3519

vllm/compilation/backends.py

@@ -110,10 +110,14 @@ def compile(self,
         compiled_graph = self.load(graph, example_inputs, graph_index,
                                    runtime_shape)
         if compiled_graph is not None:
-            if graph_index == 0:
-                # adds some info logging for the first graph
-                logger.info("Directly load the compiled graph for shape %s "
-                            "from the cache", str(runtime_shape))  # noqa
+            if graph_index == num_graphs - 1:
+                # after loading the last graph for this shape, record the time.
+                # there can be multiple graphs due to piecewise compilation.
+                now = time.time()
+                elapsed = now - compilation_start_time
+                logger.info(
+                    "Directly load the compiled graph(s) for shape %s "
+                    "from the cache, took %.3f s", str(runtime_shape), elapsed)
             return compiled_graph
 
         # no compiler cached the graph, or the cache is disabled,