There are no set sailtrim angles for top speed, certainly not only three. The only way to trim sails properly is with properly positioned telltales to show subtle airflow over the sail or following the sail, and your windvanes and wind indicators to show apparent wind direction.
With a speedo or
GPS unit, and on an even more complex level - polar
charts for your particular boat, you can experiment to determine which heading and which trim produces the greatest VMG (velocity made good) for a given course heading.
Pumping the tiller/rudder in light air is a form of sculling which is prohibited under the racing rules. In heavier air, it may provide a momentary boost in speed by pumping the sails, or to adjust trim quickly for gusts (which changes apparent wind) or momentary changes in wind direction, and is sometimes used by sportboats to induce a plane, as you can see in this video of a Hobie 33 reaching planing speed:
From Ed Adams, "Sport Boats and Asymmetrics":
"The trimmer must constantly talk to the helmsman about the pressure on his sheet. As soon as the pressure softens, he must tell the helmsman to head up slightly until the sail is repressurized.
As the wind builds, there will come a point when, if you head up instead of down in a puff, the boat will start to plane. The apparent wind shifts forward with the added speed, and the asymmetric chute comes into its own again.
Once planing, sail as low as you can. But don’t let the boat drop off the plane. Your VMG (velocity made good) downwind is always better with the increased speed, even if you have to sail slightly higher to get it.
In planing and surfing conditions, a sportboat can accelerate so fast that your feet come out from under you. No
winch can keep up with the almost instantaneous changes in the apparent wind. The trimmer has to sit down and trim the sail by hand; sometimes with two crew on the sheet in blast reaching conditions. The rest of the crew has to scrimmage the full length of the cockpit, using all the kinetics the rules allow to surf waves.
Pumping the sheet of so large a sail is sometimes out of the question. But you can
pump the sail with vigorous steering. The
spinnaker is so far in front of the boat when hung from a bowsprit, that by simply pumping the tiller you also
pump the sail."
If you are cruising or sailing shorthanded, it is usually best to simply set your sails with the best trim possible, then steer according to changes in wind speed and direction. Once set, look at your speed indicators while you subtly ease or trim a sail to see if you can increase your speed by trimming. If there is a persistant shift in speed or direction, you may need to re-trim again. Many of the things racers do, such as tacking on the wind shifts (header), are not practical when cruising or daysailing, unless you have a large crew aboard.