diff --git a/quax/_core.py b/quax/_core.py
index 2b6c8d5..215c3cd 100644
--- a/quax/_core.py
+++ b/quax/_core.py
@@ -55,10 +55,13 @@ def _register(rule: Callable):
             existing_rule = _rules[primitive]  # pyright: ignore
         except KeyError:
 
-            @plum.Dispatcher().abstract
             def existing_rule():
                 assert False
 
+            existing_rule.__name__ = f"{primitive}_dispatcher"
+            existing_rule.__qualname__ = f"{primitive}_dispatcher"
+            existing_rule = plum.Dispatcher().abstract(existing_rule)
+
             _rules[primitive] = existing_rule
         existing_rule.dispatch(rule)
         return rule