NEW YORK—Oil prices rose more than 2 percent on Tuesday, reaching their highest in 12 months after major producers showed they were reining in output roughly in line with their commitments. The U.S. and global benchmarks rallied as optimism about more U.S. economic stimulus added to market bullishness from supply cuts. Brent crude was up $1.22, or 2.2 percent, at $57.57 a barrel by 12:03 EST (1703 GMT) for its third straight day of gains, touching $58.05, the highest levels since January last year. U.S. oil gained $1.26, or 2.3 percent, to $54.81, after touching a session high of $55.26, the highest in a year. The rally began as OPEC production increases were less than expected. OPEC crude production rose for a seventh month in January but the increase was smaller than expected, a Reuters survey found. Voluntary cuts of 1 million bpd by OPEC’s de facto leader, Saudi Arabia, …