WASHINGTON — The nation’s budget solution was never supposed to look like this: Congress and the White House staring at across-the-board spending cuts that will begin slashing indiscriminately through the federal government in a matter of days.

Each side had expected cooler heads to prevail, assuming the other would set aside its political preferences and compromise to prevent the economic problems that are widely expected from a sudden reduction in the flow of federal funds.

House Speaker John A. Boehner, R-Ohio, believed that President Barack Obama was so fearful of deep reductions to domestic programs that the White House would yield to Republican demands. Instead, Obama has stuck to his insistence that wealthier Americans and corporations must contribute more in taxes as part of any solution to the country’s long-term debt problems.