diff --git a/res/values/dimens.xml b/res/values/dimens.xml
index 1025aba..076853e 100644
--- a/res/values/dimens.xml
+++ b/res/values/dimens.xml
@@ -20,13 +20,16 @@
 <!-- Dynamic Grid -->
     <dimen name="dynamic_grid_edge_margin">6dp</dimen>
     <dimen name="dynamic_grid_search_bar_height">48dp</dimen>
-    <!-- We want 32dp extra for the tall search bar. -->
-    <dimen name="dynamic_grid_search_bar_height_tall">80dp</dimen>
+    <!-- We want 46dp extra for the tall search bar. -->
+    <dimen name="dynamic_grid_search_bar_height_tall">94dp</dimen>
     <dimen name="qsb_internal_padding_top">8dp</dimen>
     <dimen name="qsb_internal_padding_bottom">8dp</dimen>
+    <dimen name="dynamic_grid_search_bar_extra_top_padding">0dp</dimen>
+    <!-- Reduce the space between the status bar and the search bar when the search bar is tall -->
+    <dimen name="dynamic_grid_search_bar_negative_top_padding_short">-4dp</dimen>
     <dimen name="dynamic_grid_search_bar_bottom_padding">4dp</dimen>
     <!-- Reduce the padding between the search bar and workspace when the search bar is tall -->
-    <dimen name="dynamic_grid_search_bar_bottom_padding_short">-6dp</dimen>
+    <dimen name="dynamic_grid_search_bar_bottom_negative_padding_short">-6dp</dimen>
     <dimen name="dynamic_grid_search_bar_bottom_padding_tablet">16dp</dimen>
     <dimen name="dynamic_grid_page_indicator_height">20dp</dimen>
     <dimen name="dynamic_grid_icon_drawable_padding">4dp</dimen>
diff --git a/src/com/android/launcher3/DeviceProfile.java b/src/com/android/launcher3/DeviceProfile.java
index c6da584..61c4b1a 100644
--- a/src/com/android/launcher3/DeviceProfile.java
+++ b/src/com/android/launcher3/DeviceProfile.java
@@ -103,6 +103,8 @@
     // QSB
     private int searchBarWidgetInternalPaddingTop, searchBarWidgetInternalPaddingBottom;
     private int searchBarTopPaddingPx;
+    private int tallSearchBarNegativeTopPaddingPx, normalSearchBarTopExtraPaddingPx;
+    private int searchBarTopExtraPaddingPx; // One of the above.
     private int normalSearchBarBottomPaddingPx, tallSearchBarBottomPaddingPx;
     private int searchBarBottomPaddingPx; // One of the above.
     private int normalSearchBarSpaceHeightPx, tallSearchBarSpaceHeightPx;
@@ -216,6 +218,10 @@
                 R.dimen.qsb_internal_padding_top);
         searchBarWidgetInternalPaddingBottom = res.getDimensionPixelSize(
                 R.dimen.qsb_internal_padding_bottom);
+        normalSearchBarTopExtraPaddingPx = res.getDimensionPixelSize(
+                R.dimen.dynamic_grid_search_bar_extra_top_padding);
+        tallSearchBarNegativeTopPaddingPx = res.getDimensionPixelSize(
+                R.dimen.dynamic_grid_search_bar_negative_top_padding_short);
         if (isTablet && !isVerticalBarLayout()) {
             searchBarTopPaddingPx = searchBarWidgetInternalPaddingTop;
             normalSearchBarBottomPaddingPx = searchBarWidgetInternalPaddingBottom +
@@ -225,8 +231,9 @@
             searchBarTopPaddingPx = searchBarWidgetInternalPaddingTop;
             normalSearchBarBottomPaddingPx = searchBarWidgetInternalPaddingBottom +
                     res.getDimensionPixelSize(R.dimen.dynamic_grid_search_bar_bottom_padding);
-            tallSearchBarBottomPaddingPx = searchBarWidgetInternalPaddingBottom +
-                    res.getDimensionPixelSize(R.dimen.dynamic_grid_search_bar_bottom_padding_short);
+            tallSearchBarBottomPaddingPx = searchBarWidgetInternalPaddingBottom
+                    + res.getDimensionPixelSize(
+                    R.dimen.dynamic_grid_search_bar_bottom_negative_padding_short);
         }
 
         // Calculate the actual text height
@@ -272,7 +279,7 @@
 
     /** Returns the amount of extra space to allocate to the search bar for vertical padding. */
     private int getSearchBarTotalVerticalPadding() {
-        return searchBarTopPaddingPx + searchBarBottomPaddingPx;
+        return searchBarTopPaddingPx + searchBarTopExtraPaddingPx + searchBarBottomPaddingPx;
     }
 
     /** Returns the width and height of the search bar, ignoring any padding. */
@@ -427,10 +434,13 @@
             hotseatBarHeightPx = shortHotseatBarHeightPx;
             searchBarSpaceHeightPx = tallSearchBarSpaceHeightPx;
             searchBarBottomPaddingPx = tallSearchBarBottomPaddingPx;
+            searchBarTopExtraPaddingPx = isPhone ? tallSearchBarNegativeTopPaddingPx
+                    : normalSearchBarTopExtraPaddingPx;
         } else {
             hotseatBarHeightPx = normalHotseatBarHeightPx;
             searchBarSpaceHeightPx = normalSearchBarSpaceHeightPx;
             searchBarBottomPaddingPx = normalSearchBarBottomPaddingPx;
+            searchBarTopExtraPaddingPx = normalSearchBarTopExtraPaddingPx;
         }
     }
 
@@ -445,6 +455,7 @@
         lp = (FrameLayout.LayoutParams) searchBar.getLayoutParams();
         lp.width = searchBarBounds.width();
         lp.height = searchBarBounds.height();
+        lp.topMargin = searchBarTopExtraPaddingPx;
         if (hasVerticalBarLayout) {
             // Vertical search bar space -- The search bar is fixed in the layout to be on the left
             //                              of the screen regardless of RTL
diff --git a/src/com/android/launcher3/LauncherBackupAgentHelper.java b/src/com/android/launcher3/LauncherBackupAgentHelper.java
index 6619aaf..2177f52 100644
--- a/src/com/android/launcher3/LauncherBackupAgentHelper.java
+++ b/src/com/android/launcher3/LauncherBackupAgentHelper.java
@@ -20,6 +20,7 @@
 import android.app.backup.BackupDataInput;
 import android.app.backup.BackupManager;
 import android.content.Context;
+import android.content.SharedPreferences;
 import android.database.Cursor;
 import android.os.ParcelFileDescriptor;
 import android.util.Log;
@@ -32,13 +33,13 @@
 
     private static final String TAG = "LauncherBAHelper";
 
+    private static final String KEY_LAST_NOTIFIED_TIME = "backup_manager_last_notified";
+
     private static final String LAUNCHER_DATA_PREFIX = "L";
 
     static final boolean VERBOSE = false;
     static final boolean DEBUG = false;
 
-    private static BackupManager sBackupManager;
-
     /**
      * Notify the backup manager that out database is dirty.
      *
@@ -47,10 +48,29 @@
      * @param context application context
      */
     public static void dataChanged(Context context) {
-        if (sBackupManager == null) {
-            sBackupManager = new BackupManager(context);
+        dataChanged(context, 0);
+    }
+
+    /**
+     * Notify the backup manager that out database is dirty.
+     *
+     * <P>This does not force an immediate backup.
+     *
+     * @param context application context
+     * @param throttleMs duration in ms for which two consecutive calls to backup manager should
+     *                   not be made.
+     */
+    public static void dataChanged(Context context, long throttleMs) {
+        SharedPreferences prefs = Utilities.getPrefs(context);
+        long now = System.currentTimeMillis();
+        long lastTime = prefs.getLong(KEY_LAST_NOTIFIED_TIME, 0);
+
+        // User can manually change the system time, which could lead to now < lastTime.
+        // Re-backup in that case, as the backup will have a wrong lastModifiedTime.
+        if (now < lastTime || now >= (lastTime + throttleMs)) {
+            BackupManager.dataChanged(context.getPackageName());
+            prefs.edit().putLong(KEY_LAST_NOTIFIED_TIME, now).apply();
         }
-        sBackupManager.dataChanged();
     }
 
     private LauncherBackupHelper mHelper;
diff --git a/src/com/android/launcher3/LauncherProvider.java b/src/com/android/launcher3/LauncherProvider.java
index 7674d2a..4760930 100644
--- a/src/com/android/launcher3/LauncherProvider.java
+++ b/src/com/android/launcher3/LauncherProvider.java
@@ -270,6 +270,9 @@
                 if (mListener != null) {
                     mListener.onSettingsChanged(arg, value);
                 }
+                if (extras.getBoolean(LauncherSettings.Settings.NOTIFY_BACKUP)) {
+                    LauncherBackupAgentHelper.dataChanged(getContext());
+                }
                 Bundle result = new Bundle();
                 result.putBoolean(LauncherSettings.Settings.EXTRA_VALUE, value);
                 return result;
diff --git a/src/com/android/launcher3/LauncherSettings.java b/src/com/android/launcher3/LauncherSettings.java
index 8a5804f..01d670d 100644
--- a/src/com/android/launcher3/LauncherSettings.java
+++ b/src/com/android/launcher3/LauncherSettings.java
@@ -324,5 +324,8 @@
 
         public static final String EXTRA_VALUE = "value";
         public static final String EXTRA_DEFAULT_VALUE = "default_value";
+
+        // Extra for set_boolean method to also notify the backup manager of the change.
+        public static final String NOTIFY_BACKUP = "notify_backup";
     }
 }
diff --git a/src/com/android/launcher3/SearchDropTargetBar.java b/src/com/android/launcher3/SearchDropTargetBar.java
index 772a334..aad6dbc 100644
--- a/src/com/android/launcher3/SearchDropTargetBar.java
+++ b/src/com/android/launcher3/SearchDropTargetBar.java
@@ -116,6 +116,8 @@
 
         // Create the various fade animations
         mDropTargetBar.setAlpha(0f);
+        AlphaUpdateListener.updateVisibility(mDropTargetBar, mAccessibilityEnabled);
+
         mDropTargetBarAnimator = new LauncherViewPropertyAnimator(mDropTargetBar);
         mDropTargetBarAnimator.setInterpolator(sAccelerateInterpolator);
         mDropTargetBarAnimator.addListener(new AnimatorListenerAdapter() {
diff --git a/tests/src/com/android/launcher3/InvariantDeviceProfileTest.java b/tests/src/com/android/launcher3/InvariantDeviceProfileTest.java
index db3f72f..21df601 100644
--- a/tests/src/com/android/launcher3/InvariantDeviceProfileTest.java
+++ b/tests/src/com/android/launcher3/InvariantDeviceProfileTest.java
@@ -108,15 +108,9 @@
         if (!android.os.Build.DEVICE.equals("hammerhead")) {
             return;
         }
-        assertEquals(mInvariantProfile.numRows, 4);
-        assertEquals(mInvariantProfile.numColumns, 4);
-        assertEquals((int) mInvariantProfile.numHotseatIcons, 5);
-
-        DeviceProfile landscapeProfile = mInvariantProfile.landscapeProfile;
-        DeviceProfile portraitProfile = mInvariantProfile.portraitProfile;
-
-        assertEquals(portraitProfile.allAppsNumCols, 3);
-        assertEquals(landscapeProfile.allAppsNumCols, 5); // not used
+        assertEquals(4, mInvariantProfile.numRows);
+        assertEquals(4, mInvariantProfile.numColumns);
+        assertEquals(5, mInvariantProfile.numHotseatIcons);
     }
 
     // Add more tests for other devices, however, running them once on a single device is enough
@@ -172,10 +166,11 @@
         Rect landscapeBounds = landscapeProfile.getSearchBarBounds(true); // RTL shouldn't matter.
         int landscapeHeight = (int) Utilities.dpiFromPx(landscapeBounds.height(),
                 resources.getDisplayMetrics());
-        if (portraitProfile.isTablet) {
-            assertEquals(8 + 80 + 24, portraitHeight);
+        if (portraitProfile.isPhone) {
+            // This fails on some devices due to http://b/26884580 (portraitHeight is 101, not 100).
+            assertEquals(4 + 94 + 2, portraitHeight);
         } else {
-            assertEquals(8 + 80 + 2, portraitHeight);
+            assertEquals(8 + 94 + 24, portraitHeight);
         }
         // Make sure the height that we pass in the widget options bundle is the height of the
         // search bar + 8dps padding top and bottom.
@@ -183,7 +178,7 @@
         int portraitWidgetOptsHeight = portraitDimens.y;
         Point landscapeDimens = landscapeProfile.getSearchBarDimensForWidgetOpts(resources);
         int landscapeWidgetOptsHeight = landscapeDimens.y;
-        assertEquals(8 + 80 + 8, (int) Utilities.dpiFromPx(portraitWidgetOptsHeight,
+        assertEquals(8 + 94 + 8, (int) Utilities.dpiFromPx(portraitWidgetOptsHeight,
                 resources.getDisplayMetrics()));
         if (!landscapeProfile.isVerticalBarLayout()) {
             assertEquals(portraitHeight, landscapeHeight);