diff --git a/gtsam/inference/JunctionTree-inst.h b/gtsam/inference/JunctionTree-inst.h
index b2012f3bf..296bdb434 100644
--- a/gtsam/inference/JunctionTree-inst.h
+++ b/gtsam/inference/JunctionTree-inst.h
@@ -58,7 +58,7 @@ namespace gtsam {
     /* ************************************************************************* */
     // Post-order visitor function
     template<class BAYESTREE, class GRAPH, class ETREE_NODE>
-    void ConstructorTraversalVisitorPost(
+    void ConstructorTraversalVisitorPostAlg1(
       const boost::shared_ptr<ETREE_NODE>& ETreeNode,
       const ConstructorTraversalData<BAYESTREE,GRAPH>& myData)
     {
@@ -114,6 +114,69 @@ namespace gtsam {
       }
       myData.myJTNode->problemSize_ = combinedProblemSize;
     }
+
+    /* ************************************************************************* */
+    // Post-order visitor function
+    template<class BAYESTREE, class GRAPH, class ETREE_NODE>
+    void ConstructorTraversalVisitorPostAlg2(
+      const boost::shared_ptr<ETREE_NODE>& ETreeNode,
+      const ConstructorTraversalData<BAYESTREE, GRAPH>& myData)
+    {
+      // In this post-order visitor, we combine the symbolic elimination results from the
+      // elimination tree children and symbolically eliminate the current elimination tree node.  We
+      // then check whether each of our elimination tree child nodes should be merged with us.  The
+      // check for this is that our number of symbolic elimination parents is exactly 1 less than
+      // our child's symbolic elimination parents - this condition indicates that eliminating the
+      // current node did not introduce any parents beyond those already in the child.
+
+      // Do symbolic elimination for this node
+      SymbolicFactorGraph symbolicFactors;
+      symbolicFactors.reserve(ETreeNode->factors.size() + myData.childSymbolicFactors.size());
+      // Add symbolic versions of the ETree node factors
+      BOOST_FOREACH(const typename GRAPH::sharedFactor& factor, ETreeNode->factors) {
+        symbolicFactors.push_back(boost::make_shared<SymbolicFactor>(
+          SymbolicFactor::FromKeys(*factor)));
+      }
+      // Add symbolic factors passed up from children
+      symbolicFactors.push_back(myData.childSymbolicFactors.begin(), myData.childSymbolicFactors.end());
+      Ordering keyAsOrdering; keyAsOrdering.push_back(ETreeNode->key);
+      std::pair<SymbolicConditional::shared_ptr, SymbolicFactor::shared_ptr> symbolicElimResult =
+        EliminateSymbolic(symbolicFactors, keyAsOrdering);
+
+      // Store symbolic elimination results in the parent
+      myData.parentData->childSymbolicConditionals.push_back(symbolicElimResult.first);
+      myData.parentData->childSymbolicFactors.push_back(symbolicElimResult.second);
+
+      // Merge our children if they are in our clique - if our conditional has exactly one fewer
+      // parent than our child's conditional.
+      size_t myNrFrontals = 1;
+      const size_t myNrParents = symbolicElimResult.first->nrParents();
+      size_t nrMergedChildren = 0;
+      assert(myData.myJTNode->children.size() == myData.childSymbolicConditionals.size());
+      // Loop over children
+      int combinedProblemSize = (int) (symbolicElimResult.first->size() * symbolicFactors.size());
+      for(size_t child = 0; child < myData.childSymbolicConditionals.size(); ++child) {
+        // Check if we should merge the child
+        if(myNrParents + myNrFrontals == myData.childSymbolicConditionals[child]->nrParents()) {
+          // Get a reference to the child, adjusting the index to account for children previously
+          // merged and removed from the child list.
+          const typename JunctionTree<BAYESTREE, GRAPH>::Node& childToMerge =
+            *myData.myJTNode->children[child - nrMergedChildren];
+          // Merge keys, factors, and children.
+          myData.myJTNode->keys.insert(myData.myJTNode->keys.begin(), childToMerge.keys.begin(), childToMerge.keys.end());
+          myData.myJTNode->factors.insert(myData.myJTNode->factors.end(), childToMerge.factors.begin(), childToMerge.factors.end());
+          myData.myJTNode->children.insert(myData.myJTNode->children.end(), childToMerge.children.begin(), childToMerge.children.end());
+          // Increment problem size
+          combinedProblemSize = std::max(combinedProblemSize, childToMerge.problemSize_);
+          // Remove child from list.
+          myData.myJTNode->children.erase(myData.myJTNode->children.begin() + (child - nrMergedChildren));
+          // Increment number of merged children
+          myNrFrontals += childToMerge.keys.size();
+          ++ nrMergedChildren;
+        }
+      }
+      myData.myJTNode->problemSize_ = combinedProblemSize;
+    }
   }
 
   /* ************************************************************************* */
@@ -134,7 +197,7 @@ namespace gtsam {
     ConstructorTraversalData<BAYESTREE, GRAPH> rootData(0);
     rootData.myJTNode = boost::make_shared<typename Base::Node>(); // Make a dummy node to gather the junction tree roots
     treeTraversal::DepthFirstForest(eliminationTree, rootData,
-      ConstructorTraversalVisitorPre<BAYESTREE,GRAPH,ETreeNode>, ConstructorTraversalVisitorPost<BAYESTREE,GRAPH,ETreeNode>);
+      ConstructorTraversalVisitorPre<BAYESTREE,GRAPH,ETreeNode>, ConstructorTraversalVisitorPostAlg2<BAYESTREE,GRAPH,ETreeNode>);
 
     // Assign roots from the dummy node
     Base::roots_ = rootData.myJTNode->children;