diff --git a/src/search.cpp b/src/search.cpp
index 6c4d125b2..60ee42aba 100644
--- a/src/search.cpp
+++ b/src/search.cpp
@@ -1872,13 +1872,16 @@ void update_continuation_histories(Stack* ss, Piece pc, Square to, int bonus) {
     static constexpr std::array<ConthistBonus, 6> conthist_bonuses = {
       {{1, 1092}, {2, 631}, {3, 294}, {4, 517}, {5, 126}, {6, 445}}};
 
+    static constexpr int conthist_offsets[6]{71, 106, -22, -20, 29, -74};
+
     for (const auto [i, weight] : conthist_bonuses)
     {
         // Only update the first 2 continuation histories if we are in check
         if (ss->inCheck && i > 2)
             break;
         if (((ss - i)->currentMove).is_ok())
-            (*(ss - i)->continuationHistory)[pc][to] << bonus * weight / 1024;
+            (*(ss - i)->continuationHistory)[pc][to]
+              << (bonus * weight / 1024) + conthist_offsets[i - 1];
     }
 }
 
@@ -1891,14 +1894,14 @@ void update_quiet_histories(
     workerThread.mainHistory[us][move.from_to()] << bonus;  // Untuned to prevent duplicate effort
 
     if (ss->ply < LOW_PLY_HISTORY_SIZE)
-        workerThread.lowPlyHistory[ss->ply][move.from_to()] << bonus * 792 / 1024;
+        workerThread.lowPlyHistory[ss->ply][move.from_to()] << (bonus * 792 / 1024) + 40;
 
     update_continuation_histories(ss, pos.moved_piece(move), move.to_sq(),
                                   bonus * (bonus > 0 ? 1082 : 784) / 1024);
 
     int pIndex = pawn_structure_index(pos);
     workerThread.pawnHistory[pIndex][pos.moved_piece(move)][move.to_sq()]
-      << bonus * (bonus > 0 ? 705 : 450) / 1024;
+      << (bonus * (bonus > 0 ? 705 : 450) / 1024) + 70;
 }
 
 }