"House Republicans Pass Deep Cuts in Food Stamps" is the headline over a Times news article that reports on House passage of a bill "that slashes billions of dollars from the food stamp program."
What are these "deep" cuts? The Times article describes them as $40 billion over ten years in a program that, after the cuts, would be "more than $700 billion" over ten years. As a percentage basis, $40 billion out of $740 billion is 5.4 percent. Given that at some point over the next ten years one would hope that the economy and employment will recover to the point where fewer people need food stamps, calling the cuts "deep" in the headline is an exaggeration and an inappropriate injection of opinion. Imagine the outrage on the left if a conservative Times headline writer (pardon the oxymoron) wrote a headline that said "House Republicans Pass Minor Cuts in Food Stamps."
If you read the CBO estimate, the "cuts" are actually $39 billion from a baseline of $764 billion, or 5.1 percent over ten years. Given the inflation assumptions, even after this "deep" cut of 5.1 percent over ten years, it's almost certain that at the end of the ten year period the government would be spending more on food stamps in nominal dollars than it is now.