Solid: Cube
Cut 1: Face
Sequence: A
Term: 2
Cut 2: Vertex
Sequence: B
Term: 1
SuperX - Analysis, Tips, and Tricks
Analysis of my first SuperX method discovered a few problem areas. I gathered data by performing 10 solves with the same method (although by the 8th solve I had seen some optimizations, the average was what was important. These ten solves are summarized in the bar graph below, then averaged into a pie chart.
From this, I calculated how many moves were used per piece in each step. Step 4 and 5 are combined because they solve the same pieces. I compiled this into the graph below. As you can see, more moves were used per piece in step 3 than in step 4/5. This means that forming the opposite corner was a very inefficient process. Step 4 becomes shorter because the corners between which you are working are all non-adjacent, an easier position.
In the original method I did not specify how the opposite (step 3) corner should be made because I did not have any specific approach. I ended up using the same methods that I used for grouping in step 4, namely 8-move three-cycles and 4-move commutators to move pieces around. After looking at better ways to do this for a bit, I realized that 4-move commutators of the form UFR+ L+ UFR- L- could be very useful.
Some other tips and tricks:
1. In step 3 there will be two sets of the three pieces you need (only considering color combination). Make sure to use the right ones! Once you select the first piece correctly, the other two will only match up with it if they are the correct pieces as well. If you choose wrongly you can still make a corner, but it won't orient correctly.
2. After forming the second corner, you can and should switch to using it as your "first corner" if this makes the third and fourth corners easier to solve.