chore(debugging): correct probe injection logging

ddtrace/debugging/_debugger.py

@@ -443,19 +443,23 @@ def _probe_injection_hook(self, module):
             failed = self._function_store.inject_hooks(
                 function, [(self._dd_debugger_hook, cast(LineProbe, probe).line, probe) for probe in probes]
             )
+
             for probe in probes:
                 if probe.probe_id in failed:
                     self._probe_registry.set_error(probe, "Failed to inject")
-                    log.error("[%s][P: %s] Failed to inject %r", os.getpid(), os.getppid(), probe)
                 else:
                     self._probe_registry.set_installed(probe)
-                    log.debug(
-                        "[%s][P: %s] Injected probes %r in %r",
-                        os.getpid(),
-                        os.getppid(),
-                        [probe.probe_id for probe in probes],
-                        function,
-                    )
+
+            if failed:
+                log.error("[%s][P: %s] Failed to inject probes %r", os.getpid(), os.getppid(), failed)
+
+            log.debug(
+                "[%s][P: %s] Injected probes %r in %r",
+                os.getpid(),
+                os.getppid(),
+                [probe.probe_id for probe in probes if probe.probe_id not in failed],
+                function,
+            )
 
     def _inject_probes(self, probes):
         # type: (List[LineProbe]) -> None