By Anora Mahmudova and Barbara Kollmeyer, MarketWatch

NEW YORK (MarketWatch) -- The U.S. stock market finished Tuesday's choppy session mostly lower, as steep losses in energy companies' stocks weighed on the main benchmark.

The Dow Jones Industrial Average swung between small gains and losses, but managed to eke out a gain by the end.

Markets have been hobbled by combination of worries about oil and concerns about global growth, namely in Europe.

Indeed, the European Commission cut its forecast for growth domestic product for the 18-country eurozone region to 0.8% this year, from a previous forecast of 1.2%, in the spring. The assessment comes ahead of Thursday's European Central Bank meeting.

The price of oil dropped to levels not seen in three years after Saudi Arabia cut oil prices for the U.S., in a move meant to remain competitive amid booming oil production in the U.S. Energy companies were pounded for the second straight day, with the sector making up half of all the losses on the S&P 500.

The S&P 500 (SPX) finished 5.71 points, or 0.3%, lower at 2,021.10.

The Dow Jones Industrial Average (DJI) gained 17.50 points, or 0.1%, to 17,383.84.

The Nasdaq Composite (RIXF) shed 15.27 points, or 0.3%, to 4,623.64.

Weak oil, weak Europe: Oil prices, already falling, didn't react well to the EU growth assessment. The U.S. oil benchmark continued to slide Tuesday, dropping more than to 2% (and as much as 3.7% at points), and Brent crude also was under pressure after Saudi Arabia deepened price cuts for the U.S. market. Strategists said the move will pave the way for further falls in oil prices, and possibly pressure American energy producers.

Eric Wiegand, senior portfolio manager at U.S. Bank Wealth Management, said that there is a fatigue in the market as not all data points support sharp rally seen since mid-October.

"The next jobs report will be interesting and with the earnings mostly behind us, investors will focus on economic data and the ECB meeting," Wiegand said.

Referring to falling oil prices, Weigand said it will be a negative for the market if it results in deflationary pressures. At this point, it is unclear how much the volatility in commodity prices is due to structural issues and a stronger dollar and how much of it is falling demand, he added .

Meanwhile, U.S. voters are headed to the polls on Tuesday to decide closely contested midterm election races. See: A breakdown of how the market performs after midterm elections

In U.S. economic news, the nation's trade deficit jumped in September to the highest level since the late spring. The surprising spike in the trade deficit is likely to reduce third-quarter growth when the government revises the report later this month.

St. Louis Fed President James Bullard on Tuesday said that the U.S. economy is on track to grow at a 3% annual rate over the next 14 months, which should allow the Federal Reserve to move ahead with plans to hike short-term interest rates.

Alibaba, Herbalife among stocks to watch: Alibaba Group Holding Ltd. (BABA) reported sales that beat forecasts, sending shares up 4.2%.

Michael Kors Holdings (KORS) shares slid 8.4% after the retailer projected a disappointing outlook for the current quarter, which includes the holiday shopping season, overshadowing its relatively robust quarterly results.

Shares of Herbalife Ltd. (HLF) plummeted 21% after the company reported disappointing third-quarter results.

RetailMeNot Inc. (SALE) sank 30% after posting strong results, but warning that much of its growth has been from "lower monetizing mobile visits."

Sprint Corp. (S) slid 16% after results fell short of Wall Street expectations.

(Read more about the day's notable stocks in Movers & Shakers column: http://www.marketwatch.com/storyno-meta-for-guid.)

Other markets: Europe stocks erased gains after news of the cut in eurozone growth forecasts, while in Asia, the Nikkei 225 surged 2.7%. Gold prices (GCZ4) were moderately lower, while the dollar(USDJPY) was taking a breather from rapid gains against the yen.

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