* have Awash in 2, but I'm on saved revision 30 and feel like opening up the effort to the general public.
Here a couple of my closer attempts:
In theory, the size of the piece on the right side of the fulcrum needs to be minimized while the size of the left and the distance of the ball away from the center both need to be maximized. Also, the higher the goal ball is to start with the less distance it needs to be tossed up, so I assume the fulcrum piece should be as tall as possible without causing the large ball to push farther away from the pivot point.
The last time I submitted an in-progress simplest solution, the record-breaking solution came out very soon afterward (albeit an independent effort), so I have some confidence that the community can help work on this one.
*almost = a few hours of tweaking, minimum (unless you are very lucky)