The S&P 500 closed at an all-time high Tuesday as Wall Street clawed back the last of the historic, frenzied losses unleashed by the coronavirus.

The benchmark index's milestone caps a furious 51.5% rally that began in late March. Tremendous amounts of aid from the Federal Reserve and Congress helped launch the rally, which built momentum on signs of budding growth in the economy.

On Tuesday:

The S&P 500 rose 7.79 points, or 0.2%, to 3,389.78.

The Dow Jones Industrial Average fell 66.84 points, or 0.2%, to 27,778.07.

The Nasdaq composite climbed 81.12 points, or 0.7%, to 11,210.84.

The R...