diff --git a/python/lsst/pipe/base/_status.py b/python/lsst/pipe/base/_status.py
index e74187e3..0d2f754f 100644
--- a/python/lsst/pipe/base/_status.py
+++ b/python/lsst/pipe/base/_status.py
@@ -202,7 +202,7 @@ def runQuantum(self, butlerQC, inputRefs, outputRefs):
                 continue
             item.metadata.set_dict("failure", failure_info)  # type: ignore
 
-        log.exception(
+        log.debug(
             "Task failed with only partial outputs; see exception message for details.",
             exc_info=error,
         )
diff --git a/python/lsst/pipe/base/tests/mocks/_pipeline_task.py b/python/lsst/pipe/base/tests/mocks/_pipeline_task.py
index c8bdda9b..0c2d7ca2 100644
--- a/python/lsst/pipe/base/tests/mocks/_pipeline_task.py
+++ b/python/lsst/pipe/base/tests/mocks/_pipeline_task.py
@@ -44,13 +44,14 @@
 from typing import TYPE_CHECKING, Any, ClassVar, TypeVar
 
 from astropy.units import Quantity
-from lsst.daf.butler import DataCoordinate, DatasetRef, DeferredDatasetHandle, SerializedDatasetType
+from lsst.daf.butler import DataCoordinate, DatasetRef, DeferredDatasetHandle, Quantum, SerializedDatasetType
 from lsst.pex.config import Config, ConfigDictField, ConfigurableField, Field, ListField
 from lsst.utils.doImport import doImportType
 from lsst.utils.introspection import get_full_type_name
 from lsst.utils.iteration import ensure_iterable
 
 from ... import connectionTypes as cT
+from ..._status import AnnotatedPartialOutputsError, RepeatableQuantumError
 from ...config import PipelineTaskConfig
 from ...connections import InputQuantizedConnection, OutputQuantizedConnection, PipelineTaskConnections
 from ...pipeline_graph import PipelineGraph
@@ -291,7 +292,7 @@ def runQuantum(
         # Possibly raise an exception.
         if self.data_id_match is not None and self.data_id_match.match(quantum.dataId):
             assert self.fail_exception is not None, "Exception type must be defined"
-            message = f"Simulated failure: task={self.getName()} dataId={quantum.dataId}"
+
             if self.memory_required is not None:
                 if butlerQC.resources.max_mem < self.memory_required:
                     _LOG.info(
@@ -299,10 +300,10 @@ def runQuantum(
                         self.getName(),
                         quantum.dataId,
                     )
-                    raise self.fail_exception(message)
+                    self._fail(quantum)
             else:
                 _LOG.info("Simulating failure of task '%s' on quantum %s", self.getName(), quantum.dataId)
-                raise self.fail_exception(message)
+                self._fail(quantum)
 
         # Populate the bit of provenance we store in all outputs.
         _LOG.info("Reading input data for task '%s' on quantum %s", self.getName(), quantum.dataId)
@@ -351,6 +352,25 @@ def runQuantum(
 
         _LOG.info("Finished mocking task '%s' on quantum %s", self.getName(), quantum.dataId)
 
+    def _fail(self, quantum: Quantum) -> None:
+        """Raise the configured exception.
+
+        Parameters
+        ----------
+        quantum : `lsst.daf.butler.Quantum`
+            Quantum producing the error.
+        """
+        message = f"Simulated failure: task={self.getName()} dataId={quantum.dataId}"
+        if self.fail_exception is AnnotatedPartialOutputsError:
+            # This exception is expected to always chain another.
+            try:
+                raise RepeatableQuantumError(message)
+            except RepeatableQuantumError as err:
+                raise AnnotatedPartialOutputsError() from err
+        else:
+            assert self.fail_exception is not None, "Method should not be called."
+            raise self.fail_exception(message)
+
 
 class MockPipelineDefaultTargetConnections(PipelineTaskConnections, dimensions=()):
     pass
diff --git a/tests/test_task.py b/tests/test_task.py
index 3314864c..167f59b2 100644
--- a/tests/test_task.py
+++ b/tests/test_task.py
@@ -326,7 +326,7 @@ def test_annotate_exception(self):
         task = AddMultTask()
         msg = "something failed!"
         error = ValueError(msg)
-        with self.assertLogs("addMult", level="ERROR") as cm:
+        with self.assertLogs("addMult", level="DEBUG") as cm:
             pipeBase.AnnotatedPartialOutputsError.annotate(error, task, log=task.log)
         self.assertIn(msg, "\n".join(cm.output))
         self.assertEqual(task.metadata["failure"]["message"], msg)
@@ -346,7 +346,7 @@ def metadata(self):
         task = AddMultTask()
         msg = "something failed!"
         error = TestError(msg)
-        with self.assertLogs("addMult", level="ERROR") as cm:
+        with self.assertLogs("addMult", level="DEBUG") as cm:
             pipeBase.AnnotatedPartialOutputsError.annotate(error, task, log=task.log)
         self.assertIn(msg, "\n".join(cm.output))
         self.assertEqual(task.metadata["failure"]["message"], msg)