diff --git a/src/moves.rs b/src/moves.rs
index c4e35bb..272e078 100644
--- a/src/moves.rs
+++ b/src/moves.rs
@@ -298,11 +298,32 @@ impl<'l> Moves<'l> {
         })
     }
 
-    /// Sorts the moves in the list.
-    ///
-    /// See [`slice::sort_unstable_by`] for potential panics.
+    /// Sorts the list in ascending order with a comparison function, preserving initial order of
+    /// equal elements. See `std::slice::sort_by` for details.
     #[inline]
     pub fn sort_by<F>(&mut self, mut compare: F)
+    where
+        F: FnMut(Move, Move) -> core::cmp::Ordering,
+    {
+        self.array.as_mut_slice().sort_by(|a, b| {
+            compare(
+                Move {
+                    position: self.position,
+                    raw: *a,
+                },
+                Move {
+                    position: self.position,
+                    raw: *b,
+                },
+            )
+        });
+    }
+
+    /// Sorts the list in ascending order with a comparison function, **without** preserving the
+    /// initial order of equal elements. See [`sort_unstable_by`](`slice::sort_unstable_by`) for
+    /// details.
+    #[inline]
+    pub fn sort_unstable_by<F>(&mut self, mut compare: F)
     where
         F: FnMut(Move, Move) -> core::cmp::Ordering,
     {