Why Moore’s Law means nothing to Kasparov

Chess fans have been watching with interest the match between Gary Kasparov and the supercomputer X3D Fritz, which has ended in a draw. This surprised
Arnold Kling:
As a fan of Moore’s Law, I am disappointed by the outcome of the latest chess match. As Cowen implies, the strength of the computers should be doubling each year or two. Yet they seem to be improving no faster than the best humans.

Moore’s Law states that computing power doubles roughly every two years.
I think Kling is falling into a bit of a fallacy here though in thinking that raw computing power is what matters in a chess match of this nature.
What actually has to improve is the program that your computer is running. There is nothing in Moore’s Law that states that software doubles in power every two years.