diff --git a/gtsam/discrete/DiscreteConditional.cpp b/gtsam/discrete/DiscreteConditional.cpp
index ad9a943e3..aa7f1d391 100644
--- a/gtsam/discrete/DiscreteConditional.cpp
+++ b/gtsam/discrete/DiscreteConditional.cpp
@@ -47,15 +47,6 @@ DiscreteConditional::DiscreteConditional(const size_t nrFrontals,
                                          const DecisionTreeFactor& f)
     : BaseFactor(f / (*f.sum(nrFrontals))), BaseConditional(nrFrontals) {}
 
-/* ************************************************************************** */
-DiscreteConditional::DiscreteConditional(size_t nrFrontals,
-                                         const DecisionTreeFactor& f,
-                                         const Ordering& orderedKeys)
-    : BaseFactor(f), BaseConditional(nrFrontals) {
-  keys_.clear();
-  keys_.insert(keys_.end(), orderedKeys.begin(), orderedKeys.end());
-}
-
 /* ************************************************************************** */
 DiscreteConditional::DiscreteConditional(size_t nrFrontals,
                                          const DiscreteKeys& keys,
diff --git a/gtsam/discrete/DiscreteConditional.h b/gtsam/discrete/DiscreteConditional.h
index 89b8d0d56..98edcb8c9 100644
--- a/gtsam/discrete/DiscreteConditional.h
+++ b/gtsam/discrete/DiscreteConditional.h
@@ -56,17 +56,6 @@ class GTSAM_EXPORT DiscreteConditional
   /// Construct from factor, taking the first `nFrontals` keys as frontals.
   DiscreteConditional(size_t nFrontals, const DecisionTreeFactor& f);
 
-  /**
-   * @brief Construct from DecisionTreeFactor,
-   * taking the first `nrFrontals` from `orderedKeys`.
-   *
-   * @param nrFrontals The number of frontal variables.
-   * @param f The DecisionTreeFactor to construct from.
-   * @param orderedKeys Ordered list of keys involved in the conditional.
-   */
-  DiscreteConditional(size_t nrFrontals, const DecisionTreeFactor& f,
-                      const Ordering& orderedKeys);
-
   /**
    * Construct from DiscreteKeys and AlgebraicDecisionTree, taking the first
    * `nFrontals` keys as frontals, in the order given.
diff --git a/gtsam/discrete/TableFactor.cpp b/gtsam/discrete/TableFactor.cpp
index a833e1c5e..bf9662e34 100644
--- a/gtsam/discrete/TableFactor.cpp
+++ b/gtsam/discrete/TableFactor.cpp
@@ -252,15 +252,6 @@ DecisionTreeFactor TableFactor::operator*(const DecisionTreeFactor& f) const {
 DecisionTreeFactor TableFactor::toDecisionTreeFactor() const {
   DiscreteKeys dkeys = discreteKeys();
 
-  // If no keys, then return empty DecisionTreeFactor
-  if (dkeys.size() == 0) {
-    AlgebraicDecisionTree<Key> tree;
-    if (sparse_table_.size() != 0) {
-      tree = AlgebraicDecisionTree<Key>(sparse_table_.coeff(0));
-    }
-    return DecisionTreeFactor(dkeys, tree);
-  }
-
   std::vector<double> table;
   for (auto i = 0; i < sparse_table_.size(); i++) {
     table.push_back(sparse_table_.coeff(i));
diff --git a/gtsam/hybrid/HybridGaussianFactorGraph.cpp b/gtsam/hybrid/HybridGaussianFactorGraph.cpp
index 502a52742..0213cd64b 100644
--- a/gtsam/hybrid/HybridGaussianFactorGraph.cpp
+++ b/gtsam/hybrid/HybridGaussianFactorGraph.cpp
@@ -256,7 +256,7 @@ static TableFactor::shared_ptr DiscreteFactorFromErrors(
 }
 
 /* ************************************************************************ */
-TableFactor TableProductAndNormalize(const DiscreteFactorGraph &factors) {
+TableFactor TableProduct(const DiscreteFactorGraph &factors) {
   // PRODUCT: multiply all factors
 #if GTSAM_HYBRID_TIMING
   gttic_(DiscreteProduct);
@@ -279,14 +279,13 @@ TableFactor TableProductAndNormalize(const DiscreteFactorGraph &factors) {
   gttoc_(DiscreteProduct);
 #endif
 
-  // Max over all the potentials by pretending all keys are frontal:
-  auto normalizer = product.max(product.size());
-
 #if GTSAM_HYBRID_TIMING
   gttic_(DiscreteNormalize);
 #endif
+  // Max over all the potentials by pretending all keys are frontal:
+  auto denominator = product.max(product.size());
   // Normalize the product factor to prevent underflow.
-  product = product / (*normalizer);
+  product = product / (*denominator);
 #if GTSAM_HYBRID_TIMING
   gttoc_(DiscreteNormalize);
 #endif
@@ -343,41 +342,40 @@ discreteElimination(const HybridGaussianFactorGraph &factors,
 #if GTSAM_HYBRID_TIMING
   gttic_(EliminateDiscrete);
 #endif
-  /**** NOTE: This does sum-product. ****/
-  // Get product factor
-  TableFactor product = TableProductAndNormalize(dfg);
+  // Check if separator is empty
+  Ordering allKeys(dfg.keyVector());
+  Ordering separator;
+  std::set_difference(allKeys.begin(), allKeys.end(), frontalKeys.begin(),
+                      frontalKeys.end(),
+                      std::inserter(separator, separator.begin()));
+
+  // If the separator is empty, we have a clique of all the discrete variables
+  // so we can use the TableFactor for efficiency.
+  if (separator.size() == 0) {
+    // Get product factor
+    TableFactor product = TableProduct(dfg);
 
 #if GTSAM_HYBRID_TIMING
-  gttic_(EliminateDiscreteSum);
+    gttic_(EliminateDiscreteFormDiscreteConditional);
 #endif
-  // All the discrete variables should form a single clique,
-  // so we can sum out on all the variables as frontals.
-  // This should give an empty separator.
-  TableFactor::shared_ptr sum = product.sum(frontalKeys);
+    auto conditional = std::make_shared<DiscreteConditional>(
+        frontalKeys.size(), product.toDecisionTreeFactor());
 #if GTSAM_HYBRID_TIMING
-  gttoc_(EliminateDiscreteSum);
+    gttoc_(EliminateDiscreteFormDiscreteConditional);
 #endif
 
-  // Ordering keys for the conditional so that frontalKeys are really in front
-  Ordering orderedKeys;
-  orderedKeys.insert(orderedKeys.end(), frontalKeys.begin(), frontalKeys.end());
-  orderedKeys.insert(orderedKeys.end(), sum->keys().begin(), sum->keys().end());
+    TableFactor::shared_ptr sum = product.sum(frontalKeys);
 
-#if GTSAM_HYBRID_TIMING
-  gttic_(EliminateDiscreteFormDiscreteConditional);
-#endif
-  // Finally, get the conditional
-  auto conditional =
-      std::make_shared<DiscreteTableConditional>(product, *sum, orderedKeys);
-#if GTSAM_HYBRID_TIMING
-  gttoc_(EliminateDiscreteFormDiscreteConditional);
-#endif
+    return {std::make_shared<HybridConditional>(conditional), sum};
 
+  } else {
+    // Perform sum-product.
+    auto result = EliminateDiscrete(dfg, frontalKeys);
+    return {std::make_shared<HybridConditional>(result.first), result.second};
+  }
 #if GTSAM_HYBRID_TIMING
   gttoc_(EliminateDiscrete);
 #endif
-
-  return {std::make_shared<HybridConditional>(conditional), sum};
 }
 
 /* ************************************************************************ */