I was doing a demonstration for an intro graph theory course when it suddenly took a very long time to even look through 10,000 graphs. At home I isolated the troublesome code, which is this:
sage: for g in graphs(10):
....: x=g.edges();
Removing the x=, I found something surprising, the output stalls for >3min once it gets to the following graph:
[(0, 1, None), (0, 2, None), (0, 3, None), (0, 4, None), (0, 5, None), (0, 6, None), (0, 7, None), (0, 8, None), (1, 3, None), (2, 3, None), (3, 4, None), (3, 5, None), (3, 6, None), (3, 7, None), (3, 8, None), (3, 9, None)]
Moreover on CoCalc [free server] this issue doesn't come up; it happily works through all of the graphs on 10 vertices with no discernable pauses. (Of course it takes a while to get through all 12 million, but I can see with debug statements that it is chugging along.)