But the rejected spending cuts loom much larger, and in many ways reveal the difficulty Republicans in particular will have cutting spending despite the effort by GOP leaders to cut spending.

On Wednesday, the House rejected $1.5 billion in cuts for the Iraq Security Forces Fund, by far the biggest spending cut proposal considered so far. The House also rejected a proposal to eliminate $400 million from the Afghanistan Infrastructure Fund, $324 million from the Legal Services Corporation and $70 million from an energy efficiency program.

That followed votes on Tuesday to reject $502 million in cuts to Defense Department research and development programs, $415 million in cuts to fund the purchase of V-22 Ospreys and a $115 million cut to alternative energy research programs at DoD.

These specific decisions on amendments may matter little, as the White House on Tuesday said it would veto the House GOP bill, and the bill is not expected to be taken up in the Senate. Nonetheless, the House resumed work on amendments Wednesday afternoon, and was expected to continue that work into Thursday and possibly Friday.

House Majority Leader Eric CantorEric CantorIf we want to make immigration great again, let's make it bipartisan Top Lobbyists 2017: Hired Guns GOP Rep. Jeb Hensarling to retire after end of current term MORE (R-Va.) said that votes may go past the 3 p.m. Thursday deadline, but didn't say whether votes might extend into Friday.