By Anora Mahmudova, MarketWatch

NEW YORK (MarketWatch) -- The U.S. stock market pushed higher on Wednesday, set for a fourth day of gains, with the S&P 500 notching an intraday record in early trade.

The market's reaction was muted after a pair of better-than-expected economic reports. Private-sector hiring in March picked up to the fastest pace in three months while factory orders rose in February. Headline numbers on both were stronger than expected.

The S&P 500 index (SPX) edged higher, but traded in a narrow range. The benchmark added 3 points, or 0.2% to 1,888.80.

The Dow Jones Industrial Average (DJI) was 18 points, or 0.1%, higher at 16,546.86.

The Nasdaq Composite (RIXF) added 7 points, or 0.2%, to 4,275.05.

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"Today's ADP numbers should be taken not in isolation but as a part March data package -- together with the ISM and jobless claims figures, they indicate a nice progression growing at moderate rate," said Jim Russell, senior equity strategist at U.S. Bank Wealth Management.

"It appears that cold winter weather and not something fundamental held back the growth and resulted in weakness," Russell added.

Private-sector-employment gains picked up in March, with employers adding the most jobs in three months, and quicker hiring may be ahead, Automatic Data Processing Inc. reported Wednesday.

ADP said private-sector employers added 191,000 jobs last month, up from 178,000 in February. A prior estimate pegged February's increase at 139,000.

While some economists use ADP's number to get a feeling for the official nonfarm payrolls data, it is not always a reliable indicator, according to Ian Shepherdson, chief economist at Pantheon Macroeconomics.

"We no longer view ADP as a useful advance indicator of the official payroll numbers. Since ADP was revamped in October 2012 it has clearly tended to lag movements in the official numbers by a month. We still look for 250,000 jobs gain on Friday," wrote Shepherdson in an emailed comments.

Separately, orders for goods produced in U.S. factories rose 1.6% in February, the U.S. Commerce Department said Wednesday. Orders for durable goods -- products meant to last at least three years -- rose 2.2% in February. Orders for nondurable goods increased 1%.

In an interview on Bloomberg Radio on Wednesday, St. Louis Fed President James Bullard said that he expects the first rate hike to come in the first quarter of 2015, though he conceded that he's ahead of most of his colleagues.

Atlanta Fed President Dennis Lockhart, who is not a voting member of the central bank's policy committee, will speak about the economic outlook to the Miami Chamber of Commerce at 12:55 p.m. Eastern.

Among individual stocks, Monsanto Co. (MON) shares rose slightly after the agricultural company reported its second-quarter earnings. The company said its fiscal second-quarter earnings grew 13% thanks to continued strength in its soybean seed sales as well as improved margins. Results beat expectations.

Shares of MannKind Corp. (MNKD), which surged 100% in after-hours trading on Tuesday, was up another 76% to $7.09 on news a Food and Drug Administration advisory panel recommended approval of the biopharmaceutical company's inhaled diabetes drug Afrezza.

General Motors Co. (GM.XX) rose 0.4% as Chief Executive Mary Barra returned to Capitol Hill to continue her testimony on the company's handling of a massive recall linked to an ignition defect. GM said on Tuesday that U.S. sales in March rose 4% to 256,047 vehicles.

Nomura analysts initiated coverage of GM on Wednesday with a reduce rating, alongside a neutral rating for Ford Motor Co. (F). "We believe increasing macroeconomic headwinds will affect Ford and GM's profitability negatively relative to very high expectations for a FY15 earnings-per-share recovery," said analyst Harald Hendrikse in a note. Ford shares were 0.7% higher.

Shares of Intuitive Surgical Inc. (ISRG) rose 3.8% after surging 11% on Tuesday after the company said it received the go-ahead from the U.S. Food and Drug Administration for its da Vinci Xi Surgical System.

In overseas markets, the Stoxx Europe 600 index logged light gains as investors awaited U.S. data and Thursday's European Central Bank meeting. Asia stocks chased up Wall Street gains, with a 1% rose for Japan's Nikkei Average and more modest advances elsewhere. A weaker yen (USDJPY) contributed to the gains on the Nikkei. Gold (GCM4) rose 0.9%, breaking a 5-day losing streak, while oil (CLK4) edged lower.

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