I worked for a month and a half on K+p vs K+p (chapter 2 of SOPE).
Chapter 2 is not about the race of the passed pawns (=chapter 3) or the rook pawns (=chapter 5) but only about two pawns on the same file or on adjacent files.
Finally I am beginning to feel that I get some grip on these positions.
I hadn't expected that mastering these seemingly simple positions would cost me so much time.
But underestimating simple looking positions is common all the way up to grandmasters.
Take for instance the next diagram from a game between I. Rogers and A. Shirov (Groningen 1990):
White to move and win.
There was no time trouble involved.
Shirov (black) had headed for this position because he thought it was an obvious draw.
Can you find the win for Ian Rogers?
Now I'm so far that in these positions the first move I look at is often the right move.
I'm still not fail proof yet but that will come in the near future.
So time is ripe to get along with K+pp vs K+p.
At least I have the tools now to judge all the transitions to K+p vs K+p.
Man, this is hard work!
The Order of Battle
1 hour ago