diff --git a/python/cudf_polars/cudf_polars/experimental/benchmarks/asserts.py b/python/cudf_polars/cudf_polars/experimental/benchmarks/asserts.py
index e8c80e480cd..34eda03f20e 100644
--- a/python/cudf_polars/cudf_polars/experimental/benchmarks/asserts.py
+++ b/python/cudf_polars/cudf_polars/experimental/benchmarks/asserts.py
@@ -250,15 +250,16 @@ def assert_tpch_result_equal(
                     details={"error": str(e)},
                 ) from e
 
-        # We know that each dataframe is sorted on `sort_by` according to itself.
-        # Now we have some freedom to reorder the rows. We'll use this freedom to avoid
-        # any kind of sorting on floating-point columns, which introduces all sorts of
-        # fuzziness we don't want to deal with.
         non_float_columns = [
             col
             for col in left.columns
             if left.schema[col] not in (pl.Float32, pl.Float64)
         ]
+        float_columns = [
+            col for col in left.columns if left.schema[col] in (pl.Float32, pl.Float64)
+        ]
+        # if non-float sort leaves ambiguity, use float as tie-breaker
+        all_sort_columns = non_float_columns + float_columns
         left_sorted = left.sort(by=non_float_columns, nulls_last=nulls_last)
         right_sorted = right.sort(by=non_float_columns, nulls_last=nulls_last)
 
@@ -269,10 +270,17 @@ def assert_tpch_result_equal(
                     right_sorted,
                     **polars_kwargs,  # type: ignore[arg-type]
                 )
-            except AssertionError as e:
-                raise ValidationError(
-                    message="Result mismatch", details={"error": str(e)}
-                ) from e
+            except AssertionError:
+                try:
+                    polars.testing.assert_frame_equal(
+                        left.sort(by=all_sort_columns, nulls_last=nulls_last),
+                        right.sort(by=all_sort_columns, nulls_last=nulls_last),
+                        **polars_kwargs,  # type: ignore[arg-type]
+                    )
+                except AssertionError as e2:
+                    raise ValidationError(
+                        message="Result mismatch", details={"error": str(e2)}
+                    ) from e2
 
         else:
             # Handle the .sort_by(...).head(n) case; First, split the data into two parts
@@ -329,11 +337,19 @@ def assert_tpch_result_equal(
                     expected_first.sort(by=non_float_columns, nulls_last=nulls_last),
                     **polars_kwargs,  # type: ignore[arg-type]
                 )
-            except AssertionError as e:
-                raise ValidationError(
-                    message="Result mismatch in non-ties part",
-                    details={"error": str(e)},
-                ) from e
+            except AssertionError:
+                # Non-float sort left ambiguous ties; retry with float columns as secondary key
+                try:
+                    polars.testing.assert_frame_equal(
+                        result_first.sort(by=all_sort_columns, nulls_last=nulls_last),
+                        expected_first.sort(by=all_sort_columns, nulls_last=nulls_last),
+                        **polars_kwargs,  # type: ignore[arg-type]
+                    )
+                except AssertionError as e2:
+                    raise ValidationError(
+                        message="Result mismatch in non-ties part",
+                        details={"error": str(e2)},
+                    ) from e2
 
             # We already know that the lengths match (we've validated that the
             # *total* lengths match and the non-ties lengths match, so this rump
@@ -352,11 +368,23 @@ def assert_tpch_result_equal(
                     ),
                     **polars_kwargs,  # type: ignore[arg-type]
                 )
-            except AssertionError as e:
-                raise ValidationError(
-                    message="Result mismatch in ties part",
-                    details={"error": str(e)},
-                ) from e
+            except AssertionError:
+                # Non-float sort left ambiguous ties; retry with float columns
+                try:
+                    polars.testing.assert_frame_equal(
+                        result_ties.sort(
+                            all_sort_columns, nulls_last=nulls_last
+                        ).select(by),
+                        expected_ties.sort(
+                            all_sort_columns, nulls_last=nulls_last
+                        ).select(by),
+                        **polars_kwargs,  # type: ignore[arg-type]
+                    )
+                except AssertionError as e2:
+                    raise ValidationError(
+                        message="Result mismatch in ties part",
+                        details={"error": str(e2)},
+                    ) from e2
 
     else:
         # no sort_by, just a straight comparison.