I'm not sure he's updated the log chart past year 2000 correctly. His CyclePro chart was very well known in 1999 and he stopped updating them in 2000 - until a month ago. He claims to use BLS all-consumer inflation with a base year of 2000 in the log chart.
This first chart is a non-log BLS inflation-adjusted chart (once again base year 2000), with the second being the same non-log chart but inflation-adjusted using the much more aggressive discounting of the Shadow-Stats inflation series which reports a higher CPI rate than the official BLS.