diff --git a/python/cudf_polars/cudf_polars/dsl/ir.py b/python/cudf_polars/cudf_polars/dsl/ir.py
index 38bfc857826..9808bdcab7a 100644
--- a/python/cudf_polars/cudf_polars/dsl/ir.py
+++ b/python/cudf_polars/cudf_polars/dsl/ir.py
@@ -243,19 +243,12 @@ class Select(IR):
 
     df: IR
     """Input dataframe."""
-    cse: list[expr.NamedExpr]
-    """
-    List of common subexpressions that will appear in the selected expressions.
-
-    These must be evaluated before the returned expressions.
-    """
     expr: list[expr.NamedExpr]
     """List of expressions to evaluate to form the new dataframe."""
 
     def evaluate(self, *, cache: dict[int, DataFrame]):
         """Evaluate and return a dataframe."""
         df = self.df.evaluate(cache=cache)
-        df = df.with_columns([e.evaluate(df) for e in self.cse])
         return DataFrame([e.evaluate(df) for e in self.expr])
 
 
@@ -541,20 +534,13 @@ class HStack(IR):
 
     df: IR
     """Input dataframe."""
-    cse: list[expr.NamedExpr]
-    """
-    List of common subexpressions that will appear in the selected expressions.
-
-    These must be evaluated before the returned expressions.
-    """
     columns: list[expr.NamedExpr]
     """List of expressions to produce new columns."""
 
     def evaluate(self, *, cache: dict[int, DataFrame]) -> DataFrame:
         """Evaluate and return a dataframe."""
         df = self.df.evaluate(cache=cache)
-        ctx = df.copy().with_columns([e.evaluate(df) for e in self.cse])
-        return df.with_columns([c.evaluate(ctx) for c in self.columns])
+        return df.with_columns([c.evaluate(df) for c in self.columns])
 
 
 @dataclass(slots=True)
diff --git a/python/cudf_polars/cudf_polars/dsl/translate.py b/python/cudf_polars/cudf_polars/dsl/translate.py
index 17596e354fb..4837473ca5b 100644
--- a/python/cudf_polars/cudf_polars/dsl/translate.py
+++ b/python/cudf_polars/cudf_polars/dsl/translate.py
@@ -22,7 +22,21 @@
 
 
 class set_node(AbstractContextManager):
-    """Run a block with current node set in the visitor."""
+    """
+    Run a block with current node set in the visitor.
+
+    Parameters
+    ----------
+    visitor
+        The internal Rust visitor object
+    n
+        The node to set as the current root.
+
+    Notes
+    -----
+    This is useful for translating expressions with a given node
+    active, restoring the node when the block exits.
+    """
 
     __slots__ = ("n", "visitor")
 
@@ -94,17 +108,16 @@ def _(
 def _(node: pl_ir.Select, visitor: Any, schema: dict[str, plc.DataType]) -> ir.IR:
     with set_node(visitor, node.input):
         inp = translate_ir(visitor, n=None)
-    cse_exprs = [translate_named_expr(visitor, n=e) for e in node.cse_expr]
-    exprs = [translate_named_expr(visitor, n=e) for e in node.expr]
-    return ir.Select(schema, inp, cse_exprs, exprs)
+        exprs = [translate_named_expr(visitor, n=e) for e in node.expr]
+    return ir.Select(schema, inp, exprs)
 
 
 @_translate_ir.register
 def _(node: pl_ir.GroupBy, visitor: Any, schema: dict[str, plc.DataType]) -> ir.IR:
     with set_node(visitor, node.input):
         inp = translate_ir(visitor, n=None)
-    aggs = [translate_named_expr(visitor, n=e) for e in node.aggs]
-    keys = [translate_named_expr(visitor, n=e) for e in node.keys]
+        aggs = [translate_named_expr(visitor, n=e) for e in node.aggs]
+        keys = [translate_named_expr(visitor, n=e) for e in node.keys]
     return ir.GroupBy(
         schema,
         inp,
@@ -133,16 +146,15 @@ def _(node: pl_ir.Join, visitor: Any, schema: dict[str, plc.DataType]) -> ir.IR:
 def _(node: pl_ir.HStack, visitor: Any, schema: dict[str, plc.DataType]) -> ir.IR:
     with set_node(visitor, node.input):
         inp = translate_ir(visitor, n=None)
-    cse_exprs = [translate_named_expr(visitor, n=e) for e in node.cse_exprs]
-    exprs = [translate_named_expr(visitor, n=e) for e in node.exprs]
-    return ir.HStack(schema, inp, cse_exprs, exprs)
+        exprs = [translate_named_expr(visitor, n=e) for e in node.exprs]
+    return ir.HStack(schema, inp, exprs)
 
 
 @_translate_ir.register
 def _(node: pl_ir.Reduce, visitor: Any, schema: dict[str, plc.DataType]) -> ir.IR:
     with set_node(visitor, node.input):
         inp = translate_ir(visitor, n=None)
-    exprs = [translate_named_expr(visitor, n=e) for e in node.expr]
+        exprs = [translate_named_expr(visitor, n=e) for e in node.expr]
     return ir.Reduce(schema, inp, exprs)
 
 
@@ -159,7 +171,7 @@ def _(node: pl_ir.Distinct, visitor: Any, schema: dict[str, plc.DataType]) -> ir
 def _(node: pl_ir.Sort, visitor: Any, schema: dict[str, plc.DataType]) -> ir.IR:
     with set_node(visitor, node.input):
         inp = translate_ir(visitor, n=None)
-    by = [translate_named_expr(visitor, n=e) for e in node.by_column]
+        by = [translate_named_expr(visitor, n=e) for e in node.by_column]
     return ir.Sort(schema, inp, by, node.sort_options, node.slice)
 
 
@@ -172,7 +184,7 @@ def _(node: pl_ir.Slice, visitor: Any, schema: dict[str, plc.DataType]) -> ir.IR
 def _(node: pl_ir.Filter, visitor: Any, schema: dict[str, plc.DataType]) -> ir.IR:
     with set_node(visitor, node.input):
         inp = translate_ir(visitor, n=None)
-    mask = translate_named_expr(visitor, n=node.predicate)
+        mask = translate_named_expr(visitor, n=node.predicate)
     return ir.Filter(schema, inp, mask)
 
 
@@ -261,6 +273,13 @@ def translate_named_expr(visitor: Any, *, n: pl_expr.PyExprIR) -> expr.NamedExpr
     -------
     Translated IR object.
 
+    Notes
+    -----
+    The datatype of the internal expression will be obtained from the
+    visitor by calling ``get_dtype``, for this to work properly, the
+    caller should arrange that the expression is translated with the
+    node that it references "active" for the visitor (see :class:`set_node`).
+
     Raises
     ------
     NotImplementedError if any translation fails due to unsupported functionality.