diff --git a/src/search.cpp b/src/search.cpp
index 673caacb..8d2d5720 100644
--- a/src/search.cpp
+++ b/src/search.cpp
@@ -466,7 +466,9 @@ void Search::Worker::iterative_deepening() {
             fallingEval = std::clamp(fallingEval, 0.5786, 1.6752);
 
             // If the bestMove is stable over several iterations, reduce time accordingly
-            timeReduction = lastBestMoveDepth + 8 < completedDepth ? 1.4857 : 0.7046;
+            double k      = 0.527;
+            double center = lastBestMoveDepth + 11;
+            timeReduction = 0.8 + 0.84 / (1.077 + std::exp(-k * (completedDepth - center)));
             double reduction =
               (1.4540 + mainThread->previousTimeReduction) / (2.1593 * timeReduction);
             double bestMoveInstability = 0.9929 + 1.8519 * totBestMoveChanges / threads.size();
@@ -2237,4 +2239,4 @@ bool RootMove::extract_ponder_from_tt(const TranspositionTable& tt, Position& po
 }
 
 
-}  // namespace Stockfish
\ No newline at end of file
+}  // namespace Stockfish