Yes it does. But by totals, not each individual vote. At the end of the day the machine prints a paper tape totaled by candidate. Two copies will be printed. One goes with the machine to the country election commission, the other get posted at the polling place.
Do you mean it only logs when the totals were printed out? I would think that to minimize fraud a machine should report that people voted at 9:03am, 9:05am, 9:08am, etc. It should say what candidates the person who voted at 9:08am selected, but it should show chronologically how the ballots were distributed.