diff --git a/av1/encoder/rdopt.c b/av1/encoder/rdopt.c
index fc34028..e3eabdb 100644
--- a/av1/encoder/rdopt.c
+++ b/av1/encoder/rdopt.c
@@ -1723,16 +1723,19 @@
 static void score_2D_transform_pow8(float *scores_2D, float shift) {
   float sum = 0.0f;
   int i;
-
   for (i = 0; i < 16; i++) {
-    float v, v2, v4;
-    v = AOMMAX(scores_2D[i] + shift, 0.0f);
-    v2 = v * v;
-    v4 = v2 * v2;
+    const float v = AOMMIN(AOMMAX(scores_2D[i] + shift, 0.0f), 100.0f);
+    const float v2 = v * v;
+    const float v4 = v2 * v2;
     scores_2D[i] = v4 * v4;
     sum += scores_2D[i];
   }
-  for (i = 0; i < 16; i++) scores_2D[i] /= sum;
+  for (i = 0; i < 16; i++) {
+    if (scores_2D[i] < sum * 1e-4)
+      scores_2D[i] = 0.0f;
+    else
+      scores_2D[i] /= sum;
+  }
 }
 
 // These thresholds were calibrated to provide a certain number of TX types