diff --git a/src/ast/desugar.rs b/src/ast/desugar.rs
index 7642c944b..bf6a6e5fd 100644
--- a/src/ast/desugar.rs
+++ b/src/ast/desugar.rs
@@ -118,7 +118,12 @@ pub(crate) fn desugar_command(
             res
         }
         Command::Rewrite(ruleset, rewrite, subsume) => {
-            desugar_rewrite(ruleset, rule_name, rewrite, subsume, parser)
+            let resolved_name = if rewrite.name.is_empty() {
+                rule_name
+            } else {
+                rewrite.name.clone()
+            };
+            desugar_rewrite(ruleset, resolved_name, rewrite, subsume, parser)
         }
         Command::BiRewrite(ruleset, rewrite) => {
             desugar_birewrite(ruleset, rule_name, rewrite, parser)
@@ -352,22 +357,34 @@ fn desugar_birewrite(
     parser: &mut Parser,
 ) -> Vec<NCommand> {
     let span = rewrite.span.clone();
+    let rewrite_name = if rewrite.name.is_empty() {
+        name
+    } else {
+        rewrite.name.clone()
+    };
     let rw2 = Rewrite {
         span,
         lhs: rewrite.rhs.clone(),
         rhs: rewrite.lhs.clone(),
         conditions: rewrite.conditions.clone(),
+        name: rewrite_name.clone(),
     };
-    desugar_rewrite(ruleset.clone(), format!("{name}=>"), rewrite, false, parser)
-        .into_iter()
-        .chain(desugar_rewrite(
-            ruleset,
-            format!("{name}<="),
-            rw2,
-            false,
-            parser,
-        ))
-        .collect()
+    desugar_rewrite(
+        ruleset.clone(),
+        format!("{rewrite_name}=>"),
+        rewrite,
+        false,
+        parser,
+    )
+    .into_iter()
+    .chain(desugar_rewrite(
+        ruleset,
+        format!("{rewrite_name}<="),
+        rw2,
+        false,
+        parser,
+    ))
+    .collect()
 }
 
 /// Desugar relation by making a new sort and a constructor for it.
diff --git a/src/ast/mod.rs b/src/ast/mod.rs
index 26370ef41..4257ee409 100644
--- a/src/ast/mod.rs
+++ b/src/ast/mod.rs
@@ -1480,6 +1480,7 @@ pub struct GenericRewrite<Head, Leaf> {
     pub lhs: GenericExpr<Head, Leaf>,
     pub rhs: GenericExpr<Head, Leaf>,
     pub conditions: Vec<GenericFact<Head, Leaf>>,
+    pub name: String,
 }
 
 impl<Head, Leaf> GenericRewrite<Head, Leaf>
@@ -1506,6 +1507,7 @@ where
                 .into_iter()
                 .map(|fact| fact.map_symbols(head, leaf))
                 .collect(),
+            name: self.name,
         }
     }
 
@@ -1808,6 +1810,7 @@ where
                         .into_iter()
                         .map(|fact| fact.visit_exprs(f))
                         .collect(),
+                    name: rewrite.name,
                 },
                 subsume,
             ),
@@ -1822,6 +1825,7 @@ where
                         .into_iter()
                         .map(|fact| fact.visit_exprs(f))
                         .collect(),
+                    name: rewrite.name,
                 },
             ),
             GenericCommand::Action(action) => GenericCommand::Action(action.visit_exprs(f)),
diff --git a/src/ast/parse.rs b/src/ast/parse.rs
index 3386bdac7..cfe9d24fe 100644
--- a/src/ast/parse.rs
+++ b/src/ast/parse.rs
@@ -503,6 +503,7 @@ impl Parser {
                     let mut ruleset = String::new();
                     let mut conditions = Vec::new();
                     let mut subsume = false;
+                    let mut name = String::new();
                     for option in self.parse_options(rest)? {
                         match option {
                             (":ruleset", [r]) => ruleset = r.expect_atom("ruleset name")?,
@@ -514,6 +515,7 @@ impl Parser {
                                     Self::parse_fact,
                                 )?
                             }
+                            (":name", [s]) => name = s.expect_string("rule name")?,
                             _ => return error!(span, "could not parse rewrite options"),
                         }
                     }
@@ -525,6 +527,7 @@ impl Parser {
                             lhs,
                             rhs,
                             conditions,
+                            name,
                         },
                         subsume,
                     )]
@@ -538,6 +541,7 @@ impl Parser {
 
                     let mut ruleset = String::new();
                     let mut conditions = Vec::new();
+                    let mut name = String::new();
                     for option in self.parse_options(rest)? {
                         match option {
                             (":ruleset", [r]) => ruleset = r.expect_atom("ruleset name")?,
@@ -548,6 +552,7 @@ impl Parser {
                                     Self::parse_fact,
                                 )?
                             }
+                            (":name", [s]) => name = s.expect_string("rule name")?,
                             _ => return error!(span, "could not parse birewrite options"),
                         }
                     }
@@ -559,6 +564,7 @@ impl Parser {
                             lhs,
                             rhs,
                             conditions,
+                            name,
                         },
                     )]
                 }
diff --git a/tests/integration_test.rs b/tests/integration_test.rs
index 00939a27f..1dfb00f88 100644
--- a/tests/integration_test.rs
+++ b/tests/integration_test.rs
@@ -995,3 +995,106 @@ fn eqsat_basic_term_encoding_roundtrip() {
         .parse_and_run_program(None, &text_thrice)
         .expect("final program should execute successfully");
 }
+
+#[test]
+fn rewrite_name_basic() {
+    let mut egraph = EGraph::default();
+    egraph
+        .parse_and_run_program(
+            None,
+            "
+            (datatype Math (Num i64) (Mul Math Math))
+            (rewrite (Mul a (Num 1)) a :name \"mul-identity\")
+            (let $x (Mul (Num 42) (Num 1)))
+            (run 3)
+            (check (= $x (Num 42)))
+            ",
+        )
+        .unwrap();
+}
+
+#[test]
+fn rewrite_name_birewrite() {
+    let mut egraph = EGraph::default();
+    egraph
+        .parse_and_run_program(
+            None,
+            "
+            (datatype Math (Num i64) (Add Math Math))
+            (birewrite (Add a b) (Add b a) :name \"add-comm\")
+            (let $x (Add (Num 1) (Num 2)))
+            (run 3)
+            (check (= $x (Add (Num 2) (Num 1))))
+            ",
+        )
+        .unwrap();
+}
+
+#[test]
+fn rewrite_name_desugars_correctly() {
+    let mut egraph = EGraph::default();
+    let desugared = egraph
+        .resolve_program(
+            None,
+            "
+            (datatype Math (Num i64) (Mul Math Math) (Add Math Math))
+            (rewrite (Mul a (Num 1)) a :name \"mul-identity\")
+            (birewrite (Add a b) (Add b a) :name \"add-comm\")
+            ",
+        )
+        .unwrap();
+
+    let joined: String = desugared
+        .iter()
+        .map(|cmd| format!("{cmd}"))
+        .collect::<Vec<_>>()
+        .join("\n");
+
+    assert!(
+        joined.contains("mul-identity"),
+        "expected 'mul-identity' in:\n{joined}"
+    );
+    assert!(
+        joined.contains("add-comm=>"),
+        "expected 'add-comm=>' in:\n{joined}"
+    );
+    assert!(
+        joined.contains("add-comm<="),
+        "expected 'add-comm<=' in:\n{joined}"
+    );
+}
+
+#[test]
+fn rewrite_without_name_still_works() {
+    let mut egraph = EGraph::default();
+    egraph
+        .parse_and_run_program(
+            None,
+            "
+            (datatype Math (Num i64) (Add Math Math))
+            (rewrite (Add a b) (Add b a))
+            (let $x (Add (Num 1) (Num 2)))
+            (run 3)
+            (check (= $x (Add (Num 2) (Num 1))))
+            ",
+        )
+        .unwrap();
+}
+
+#[test]
+fn rewrite_name_with_ruleset() {
+    let mut egraph = EGraph::default();
+    egraph
+        .parse_and_run_program(
+            None,
+            "
+            (datatype Math (Num i64) (Mul Math Math))
+            (ruleset my-rules)
+            (rewrite (Mul a (Num 0)) (Num 0) :name \"mul-zero\" :ruleset my-rules)
+            (let $x (Mul (Num 99) (Num 0)))
+            (run my-rules 3)
+            (check (= $x (Num 0)))
+            ",
+        )
+        .unwrap();
+}