diff --git a/ast/ast.go b/ast/ast.go
index 2d57f87..48d4229 100644
--- a/ast/ast.go
+++ b/ast/ast.go
@@ -40,7 +40,7 @@ type AST interface {
 	UpdateLabel(n *Node, newLabel NodeLabelType) error
 
 	// MakeHashMemo creates a new hash memo for the entire AST.
-	MakeHashMemo() *NodeHashMemo
+	MakeHashMemo() NodeHashMemo
 }
 
 type astConcrete struct {
@@ -74,8 +74,8 @@ func (a *astConcrete) Add(parent *Node, i int, label NodeLabelType, value NodeVa
 		a.root = newNode
 	}
 
-	a.nodes[newNode.id] = newNode
-	return a.nodes[newNode.id], nil
+	a.nodes[newNode.Id] = newNode
+	return a.nodes[newNode.Id], nil
 }
 
 func (a *astConcrete) Move(n, newParent *Node, i int) error {
@@ -90,7 +90,7 @@ func (a *astConcrete) Delete(n *Node) error {
 	}
 
 	n.DestroySubtree()
-	delete(a.nodes, n.id)
+	delete(a.nodes, n.Id)
 	return nil
 }
 
@@ -120,14 +120,14 @@ func (a *astConcrete) UpdateLabel(n *Node, newLabel NodeLabelType) error {
 	return nil
 }
 
-func (a *astConcrete) MakeHashMemo() *NodeHashMemo {
+func (a *astConcrete) MakeHashMemo() NodeHashMemo {
 	if a.root == nil {
 		return nil
 	}
 
 	memo := make(NodeHashMemo)
 	_ = a.root.HashValue(&memo)
-	return &memo
+	return memo
 }
 
 // NewAST creates a new AST.
diff --git a/ast/hash_memo.go b/ast/hash_memo.go
deleted file mode 100644
index 4ecd95c..0000000
--- a/ast/hash_memo.go
+++ /dev/null
@@ -1,7 +0,0 @@
-package ast
-
-type NodeHashMemo map[NodeIdType]uint64
-
-func (m *NodeHashMemo) IsIsomorphicBetween(n1, n2 NodeIdType) bool {
-	return (*m)[n1] == (*m)[n2]
-}
diff --git a/ast/node.go b/ast/node.go
index 0638bf1..a54bc0a 100644
--- a/ast/node.go
+++ b/ast/node.go
@@ -17,10 +17,12 @@ type Node struct {
 	Value       NodeValueType
 	Parent      *Node
 	Children    map[int]*Node
-	id          NodeIdType
+	Id          NodeIdType
 	idxToParent int
 }
 
+type NodeHashMemo map[NodeIdType]uint64
+
 type NodeParentInfo struct {
 	// The Parent of a Node.
 	Parent *Node
@@ -46,7 +48,7 @@ func NewNode(parentInfo NodeParentInfo, label NodeLabelType, value NodeValueType
 		Value:       value,
 		Parent:      nil,
 		Children:    make(map[int]*Node),
-		id:          newIdStr,
+		Id:          newIdStr,
 		idxToParent: -1,
 	}
 
@@ -121,6 +123,14 @@ func (n *Node) ValueOfOrder() int {
 	return n.Height()
 }
 
+func (n *Node) OrderedChildren() []*Node {
+	children := maps.Values(n.Children)
+	sort.Slice(children, func(i, j int) bool {
+		return children[i].idxToParent < children[j].idxToParent
+	})
+	return children
+}
+
 // Isomorphic returns true if the Node is isomorphic to the other Node.
 func (n *Node) Isomorphic(other *Node) bool {
 	if n == nil || other == nil {
@@ -138,15 +148,12 @@ func (n *Node) HashValue(memo *NodeHashMemo) uint64 {
 		if memo != nil {
 			lock.Lock()
 			defer lock.Unlock()
-			(*memo)[n.id] = propertyHash
+			(*memo)[n.Id] = propertyHash
 		}
 		return propertyHash
 	}
 
-	children := maps.Values(n.Children)
-	sort.Slice(children, func(i, j int) bool {
-		return children[i].idxToParent < children[j].idxToParent
-	})
+	children := n.OrderedChildren()
 
 	var combinedChildrenHash xxhash.Digest
 	_, _ = combinedChildrenHash.WriteString(strconv.FormatUint(propertyHash, 10))
@@ -160,7 +167,7 @@ func (n *Node) HashValue(memo *NodeHashMemo) uint64 {
 	if memo != nil {
 		lock.Lock()
 		defer lock.Unlock()
-		(*memo)[n.id] = result
+		(*memo)[n.Id] = result
 	}
 	return result
 }