return align(DIV_ROUND_UP(num, denom), al);
 }
 
-static uint32_t
-total_size(struct gmem_key *key, uint32_t bin_w, uint32_t bin_h,
+static bool
+layout_gmem(struct gmem_key *key, uint32_t nbins_x, uint32_t nbins_y,
                struct fd_gmem_stateobj *gmem)
 {
+       struct fd_screen *screen = gmem->screen;
        uint32_t gmem_align = key->gmem_page_align * 0x1000;
        uint32_t total = 0, i;
 
+       if ((nbins_x == 0) || (nbins_y == 0))
+               return false;
+
+       uint32_t bin_w, bin_h;
+       bin_w = div_align(key->width, nbins_x, screen->gmem_alignw);
+       bin_h = div_align(key->height, nbins_y, screen->gmem_alignh);
+
+       gmem->bin_w = bin_w;
+       gmem->bin_h = bin_h;
+
+       /* due to aligning bin_w/h, we could end up with one too
+        * many bins in either dimension, so recalculate:
+        */
+       gmem->nbins_x = DIV_ROUND_UP(key->width, bin_w);
+       gmem->nbins_y = DIV_ROUND_UP(key->height, bin_h);
+
        for (i = 0; i < MAX_RENDER_TARGETS; i++) {
                if (key->cbuf_cpp[i]) {
                        gmem->cbuf_base[i] = align(total, gmem_align);
                total = gmem->zsbuf_base[1] + key->zsbuf_cpp[1] * bin_w * bin_h;
        }
 
-       return total;
+       return total <= screen->gmemsize_bytes;
 }
 
 static struct fd_gmem_stateobj *
        gmem->key = key;
        list_inithead(&gmem->node);
 
-       const uint32_t gmem_alignw = screen->gmem_alignw;
-       const uint32_t gmem_alignh = screen->gmem_alignh;
        const unsigned npipes = screen->num_vsc_pipes;
-       const uint32_t gmem_size = screen->gmemsize_bytes;
        uint32_t nbins_x = 1, nbins_y = 1;
-       uint32_t bin_w, bin_h;
        uint32_t max_width = bin_width(screen);
        uint32_t i, j, t, xoff, yoff;
        uint32_t tpp_x, tpp_y;
        int tile_n[npipes];
 
-       bin_w = div_align(key->width, 1, gmem_alignw);
-       bin_h = div_align(key->height, 1, gmem_alignh);
-
-       /* first, find a bin width that satisfies the maximum width
-        * restrictions:
-        */
-       while (bin_w > max_width) {
-               nbins_x++;
-               bin_w = div_align(key->width, nbins_x, gmem_alignw);
-       }
-
        if (fd_mesa_debug & FD_DBG_MSGS) {
                debug_printf("binning input: cbuf cpp:");
                for (i = 0; i < key->nr_cbufs; i++)
                                key->zsbuf_cpp[0], key->width, key->height);
        }
 
+       /* first, find a bin width that satisfies the maximum width
+        * restrictions:
+        */
+       while (div_align(key->width, nbins_x, screen->gmem_alignw) > max_width) {
+               nbins_x++;
+       }
+
        /* then find a bin width/height that satisfies the memory
         * constraints:
         */
-       while (total_size(key, bin_w, bin_h, gmem) > gmem_size) {
-               if (bin_w > bin_h) {
+       while (!layout_gmem(key, nbins_x, nbins_y, gmem)) {
+               if (nbins_y > nbins_x) {
                        nbins_x++;
-                       bin_w = div_align(key->width, nbins_x, gmem_alignw);
                } else {
                        nbins_y++;
-                       bin_h = div_align(key->height, nbins_y, gmem_alignh);
                }
        }
 
-       DBG("using %d bins of size %dx%d", nbins_x*nbins_y, bin_w, bin_h);
+       /* Lets see if we can tweak the layout a bit and come up with
+        * something better:
+        */
+       if ((((nbins_x - 1) * (nbins_y + 1)) < (nbins_x * nbins_y)) &&
+                       layout_gmem(key, nbins_x - 1, nbins_y + 1, gmem)) {
+               nbins_x--;
+               nbins_y++;
+       } else if ((((nbins_x + 1) * (nbins_y - 1)) < (nbins_x * nbins_y)) &&
+                       layout_gmem(key, nbins_x + 1, nbins_y - 1, gmem)) {
+               nbins_x++;
+               nbins_y--;
+       }
+
+       layout_gmem(key, nbins_x, nbins_y, gmem);
+
+       DBG("using %d bins of size %dx%d", gmem->nbins_x * gmem->nbins_y,
+                       gmem->bin_w, gmem->bin_h);
 
        memcpy(gmem->cbuf_cpp, key->cbuf_cpp, sizeof(key->cbuf_cpp));
        memcpy(gmem->zsbuf_cpp, key->zsbuf_cpp, sizeof(key->zsbuf_cpp));
-       gmem->bin_h = bin_h;
-       gmem->bin_w = bin_w;
-       gmem->nbins_x = nbins_x;
-       gmem->nbins_y = nbins_y;
        gmem->minx = key->minx;
        gmem->miny = key->miny;
        gmem->width = key->width;
                xoff = key->minx;
 
                /* clip bin height: */
-               bh = MIN2(bin_h, key->miny + key->height - yoff);
+               bh = MIN2(gmem->bin_h, key->miny + key->height - yoff);
 
                for (j = 0; j < nbins_x; j++) {
                        struct fd_tile *tile = &gmem->tile[t];
                        assert(p < gmem->num_vsc_pipes);
 
                        /* clip bin width: */
-                       bw = MIN2(bin_w, key->minx + key->width - xoff);
+                       bw = MIN2(gmem->bin_w, key->minx + key->width - xoff);
                        tile->n = !is_a20x(screen) ? tile_n[p]++ :
                                ((i % tpp_y + 1) << 3 | (j % tpp_x + 1));
                        tile->p = p;