Stocks added to gains on Tuesday led by a rise in semiconductor shares, as Texas Instruments Inc raised its quarterly forecast, signaling improving demand in the chip market.

* The PHLX semiconductor index <.SOXX> rose 4.5 percent.

* The Dow Jones industrial average <.DJI> gained 19.58 points, or 0.22 percent, to 8,784.07. The Standard & Poor's 500 Index <.SPX> was up 4.91 points, or 0.52 percent, to 944.05. The Nasdaq Composite Index <.IXIC> added 20.15 points, or 1.09 percent, to 1,862.55.

(Reporting by Rodrigo Campos; editing by Jeffrey Benkoe)