opt: Skip evaluation of equivalent input sets

When two successive UTXOs match in effective value and weight, we can
skip the second if the prior is not selected: adding it would create an
equivalent input set to a previously evaluated.

E.g. if we have three UTXOs with effective values {5, 3, 3} of the same
weight each, we want to evaluate
{5, _, _}, {5, 3, _}, {5, 3, 3}, {_, 3, _}, {_, 3, 3},
but skip {5, _, 3}, and {_, _, 3}, because the first 3 is not selected,
and we therefore do not need to evaluate the second 3 at the same
position in the input set.

If we reach the end of the branch, we must SHIFT the previously selected
UTXO group instead.

src/wallet/coinselection.cpp

@@ -68,9 +68,11 @@ struct {
  *
  * waste = selectionTotal - target + inputs × (currentFeeRate - longTermFeeRate)
  *
- * The algorithm uses one additional optimization: a lookahead keeps track of the total value of
+ * The algorithm uses two additional optimizations. A lookahead keeps track of the total value of
  * the unexplored UTXOs. A subtree is not explored if the lookahead indicates that the target range
- * cannot be reached.
+ * cannot be reached. Further, it is unnecessary to test equivalent combinations. This allows us
+ * to skip testing the inclusion of UTXOs that match the effective value and waste of an omitted
+ * predecessor.
  *
  * The Branch and Bound algorithm is described in detail in Murch's Master Thesis:
  * https://murch.one/wp-content/uploads/2016/11/erhardt2016coinselection.pdf
@@ -140,9 +142,10 @@ util::Result<SelectionResult> SelectCoinsBnB(std::vector<OutputGroup>& utxo_pool
 
     size_t curr_try = 0;
     SelectionResult result(selection_target, SelectionAlgorithm::BNB);
+    bool is_done = false;
     // We don’t have access to the feerate here, but fee to long_term_fee is as feerate to LTFRE
     bool is_feerate_high = utxo_pool.at(0).fee > utxo_pool.at(0).long_term_fee;
-    while (true) {
+    while (!is_done) {
         bool should_shift{false}, should_cut{false};
         // Select `next_utxo`
         OutputGroup& utxo = utxo_pool[next_utxo];
@@ -204,15 +207,33 @@ util::Result<SelectionResult> SelectCoinsBnB(std::vector<OutputGroup>& utxo_pool
             should_shift = true;
         }
 
-        if (should_shift) {
+        while (should_shift) {
             if (curr_selection.empty()) {
                 // Exhausted search space before running into attempt limit
+                is_done = true;
                 result.SetAlgoCompleted(true);
                 break;
             }
             // Set `next_utxo` to one after last selected, then deselect last selected UTXO
             next_utxo = curr_selection.back() + 1;
             deselect_last();
+            should_shift = false;
+
+            // After SHIFTing to an omission branch, the `next_utxo` might have the same value and same weight as the
+            // UTXO we just omitted (i.e. it is a "clone"). If so, selecting `next_utxo` would produce an equivalent
+            // selection as one we previously evaluated. In that case, increment `next_utxo` until we find a UTXO with a
+            // differing amount or weight.
+            Assume(next_utxo < utxo_pool.size());
+            while (utxo_pool[next_utxo - 1].GetSelectionAmount() == utxo_pool[next_utxo].GetSelectionAmount()
+                    && utxo_pool[next_utxo - 1].m_weight == utxo_pool[next_utxo].m_weight) {
+                if (next_utxo >= utxo_pool.size() - 1) {
+                    // Reached end of UTXO pool skipping clones: SHIFT instead
+                    should_shift = true;
+                    break;
+                }
+                // Skip clone: previous UTXO is equivalent and unselected
+                ++next_utxo;
+            }
         }
     }
 

src/wallet/test/coinselection_tests.cpp

@@ -175,7 +175,7 @@ BOOST_AUTO_TEST_CASE(bnb_test)
         std::vector<OutputGroup> clone_pool;
         AddCoins(clone_pool, {2 * CENT, 7 * CENT, 7 * CENT}, cs_params);
         AddDuplicateCoins(clone_pool, /*count=*/50'000, /*amount=*/5 * CENT, cs_params);
-        TestBnBSuccess("Skip equivalent input sets", clone_pool, /*selection_target=*/16 * CENT, /*expected_input_amounts=*/{2 * CENT, 7 * CENT, 7 * CENT}, /*expected_attempts=*/100'000, cs_params);
+        TestBnBSuccess("Skip equivalent input sets", clone_pool, /*selection_target=*/16 * CENT, /*expected_input_amounts=*/{2 * CENT, 7 * CENT, 7 * CENT}, /*expected_attempts=*/16, cs_params);
 
         /* Test BnB attempt limit (`TOTAL_TRIES`)
          *