Yet the math says that even with that kind of growth the unemployment rate would be close to 9 percent at the end of this year, and still above 8 percent at the end of 2012. We wouldn’t get to anything resembling full employment until late in Sarah Palin’s first presidential term.

Seriously, what we’re looking at over the next few years, even with pretty good growth, are unemployment rates that not long ago would have been considered catastrophic  because they are. Behind those dry statistics lies a vast landscape of suffering and broken dreams. And the arithmetic says that the suffering will continue as far as the eye can see.

So what can be done to accelerate this all-too-slow process of healing? A rational political system would long since have created a 21st-century version of the Works Progress Administration  we’d be putting the unemployed to work doing what needs to be done, repairing and improving our fraying infrastructure. In the political system we have, however, Senator-elect Kelly Ayotte, delivering the Republican weekly address on New Year’s Day, declared that “Job one is to stop wasteful Washington spending.”

Realistically, the best we can hope for from fiscal policy is that Washington doesn’t actively undermine the recovery. Beware, in particular, the Ides of March: by then, the federal government will probably have hit its debt limit and the G.O.P. will try to force President Obama into economically harmful spending cuts.

I’m also worried about monetary policy. Two months ago, the Federal Reserve announced a new plan to promote job growth by buying long-term bonds; at the time, many observers believed that the initial $600 billion purchase was only the beginning of the story. But now it looks like the end, partly because Republicans are trying to bully the Fed into pulling back, but also because a run of slightly better economic news provides an excuse to do nothing.

There’s even a significant chance that the Fed will raise interest rates later this year  or at least that’s what the futures market seems to think. Doing so in the face of high unemployment and minimal inflation would be crazy, but that doesn’t mean it won’t happen.

So back to my original point: whatever the recent economic news, we’re still near the bottom of a very deep hole. We can only hope that enough policy makers understand that point.