WASHINGTON — President Trump boasted again on Friday that he has unleashed a roaring American economy by cutting more red tape in the federal bureaucracy than any previous president, the latest attempt to prove he is making good on his campaign pledge to slash industry regulations.

“No president has ever cut so many regulations in their entire term, O.K., as we have cut in less than a year,” Mr. Trump told the annual Conservative Political Action Conference. “And it is my opinion that the regulations had as big an impact as these massive tax cuts that we have given.”

Before taking office, Mr. Trump promised to eliminate at least two federal regulations for each new one that is issued during his administration. In dozens of speeches since, the president largely has stuck to two specific claims about his deregulation record.

Neither is true, according to analysts who study regulations and former federal workers who have administered them.

“We’ve eliminated more regulations in our first year than any administration has ever eliminated. And that means four years, eight years, or, in one instance, 16 years.” — Mr. Trump, at a Feb. 1 Republican retreat. “I pledged to eliminate two unnecessary regulations for every one new regulation. We have succeeded beyond our highest expectations. Instead of 2 for 1, we have cut 22 burdensome regulations for every one new rule.” — Mr. Trump, on Jan. 26, at the World Economic Forum in Davos, Switzerland.

The Trump administration has engaged in a sleight of hand to create the 22-1 ratio. And while Mr. Trump has made progress in his deregulatory agenda, his claims of achieving more success in one year than throughout the entire presidencies of any of his predecessors is hyperbole, not fact.