diff --git a/libavcodec/aac.c b/libavcodec/aac.c
index d23d4da2c4..d6aa364538 100644
--- a/libavcodec/aac.c
+++ b/libavcodec/aac.c
@@ -101,6 +101,7 @@ union float754 {
 static VLC vlc_scalefactors;
 static VLC vlc_spectral[11];
 
+static float cbrt_tab[1<<13];
 
 static ChannelElement *get_che(AACContext *ac, int type, int elem_id)
 {
@@ -555,6 +556,10 @@ static av_cold int aac_decode_init(AVCodecContext *avccontext)
     ff_init_ff_sine_windows(10);
     ff_init_ff_sine_windows( 7);
 
+    if (!cbrt_tab[(1<<13) - 1])
+        for (i = 0; i < 1<<13; i++)
+            cbrt_tab[i] = cbrtf(i) * i;
+
     return 0;
 }
 
@@ -949,7 +954,7 @@ static int decode_spectrum_and_dequant(AACContext *ac, float coef[1024],
                                             return -1;
                                         }
                                         n = (1 << n) + get_bits(gb, n);
-                                        coef[coef_tmp_idx + j] *= cbrtf(n) * n;
+                                        coef[coef_tmp_idx + j] *= cbrt_tab[n];
                                     } else
                                         coef[coef_tmp_idx + j] *= vq_ptr[j];
                                 }