The Hoops' seven-match unbeaten run, which had lifted them off the bottom of the table and up to 14th, came to a crashing end as they were easily outplayed.
The home fans at the Swansea.Com Stadium had three goals to cheer before the break as their side totally dominated proceedings from the off, enjoying 85 per cent possession in the opening 45 minutes.
Two goals from Liam Cullen were added to by Goncalo Franco and enabled Williams' side to rise to tenth and end a run of three without a win at home and to earn their first Boxing Day win at home since 2015.
"The first half was near-perfection and if we perform like that, I am going to be very happy. I thought it was an excellent performance," he said.
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