Sounds like you are not at the edge yet. All that work you've been doing so far has just been taking down the shoulder, or thinning just behind the edge. If you want to hit the edge in a hurry, just work only on one side. After a while of just working one side, you should see and feel a burr raised on the opposite side of the edge. That burr tells you you've reached the actual edge. Keep going until you have a burr running the entire length of the blade. Once you have a full length burr, work the other side until it forms a burr.
Once the other side has a burr, you have to remove it. Otherwise, it's just a wire edge, and it will not be a long lasting edge. Burr removal can be as simple as a few gentle swipes at the 20 degree setting. Go back to doing alternating strokes for finishing.