diff --git a/src/runtime.rs b/src/runtime.rs
index d47d519..51c8561 100644
--- a/src/runtime.rs
+++ b/src/runtime.rs
@@ -281,7 +281,12 @@ impl Runtime {
             // (at least for this execution, not necessarily across executions),
             // no matter where it started on the stack. Find the minimum
             // key and rotate it to the front.
-            let min = v.iter().min().unwrap();
+            let min = v
+                .iter()
+                .map(|key| (key.ingredient_index.debug_name(db), key))
+                .min()
+                .unwrap()
+                .1;
             let index = v.iter().position(|p| p == min).unwrap();
             v.rotate_left(index);
 
diff --git a/src/storage.rs b/src/storage.rs
index 1cc3ba1..f924069 100644
--- a/src/storage.rs
+++ b/src/storage.rs
@@ -201,6 +201,11 @@ impl IngredientIndex {
     pub fn successor(self, index: usize) -> Self {
         IngredientIndex(self.0 + 1 + index as u32)
     }
+
+    /// Return the "debug name" of this ingredient (e.g., the name of the tracked struct it represents)
+    pub(crate) fn debug_name(self, db: &dyn Database) -> &'static str {
+        db.lookup_ingredient(self).debug_name()
+    }
 }
 
 /// The "storage" struct stores all the data for the jars.
diff --git a/tests/cycles.rs b/tests/cycles.rs
index 16d28e2..a37d6f6 100644
--- a/tests/cycles.rs
+++ b/tests/cycles.rs
@@ -220,8 +220,8 @@ fn inner_cycle() {
         assert!(err.is_err());
         let expected = expect![[r#"
             [
-                "cycle_b(0)",
                 "cycle_a(0)",
+                "cycle_b(0)",
             ]
         "#]];
         expected.assert_debug_eq(&err.unwrap_err().cycle);
@@ -328,8 +328,8 @@ fn cycle_mixed_1() {
 
         let expected = expect![[r#"
             [
-                "cycle_c(0)",
                 "cycle_b(0)",
+                "cycle_c(0)",
             ]
         "#]];
         expected.assert_debug_eq(&cycle_c(db, abc).unwrap_err().cycle);
@@ -379,8 +379,8 @@ fn cycle_deterministic_order() {
                 "cycle_b(0)",
             ],
             [
-                "cycle_b(0)",
                 "cycle_a(0)",
+                "cycle_b(0)",
             ],
         )
     "#]];