If your commuting to work you have to realize that you don't want a flat going to work because then you'll have to take 5 to 15 minutes, depending on how good you are at fixing flats, to fix the flat, and lightweight tires that may be a bit faster are also going to be more subject to flats.
So the best tire for rolling resistance use only 7.7 watts but has nothing for flat protection, while the worse tire uses about 28 watts but has more flat protection but rides like a brick but will wear like iron, that is a very noticeable difference in how the bike will feel. But you're not going to want to ride on the 7.7 watt tires because they'll flat and cut like crazy plus not last very long, and the 28 watt tires will feel sluggish and harsh so you have to find a good compromise, good flat protection and good rolling resistance.
Recently I've been trying out the Specialized Roubaix Pro tires and I REALLY like these, they have great flat protection as I have tested by running over a field of glass that was scattered on the road I was riding on, I was highly concerned of course, but no flats or even a cut; and they roll easy, plus they're smooth riding and handle great. If these tires continue to be good and last a long time I may never buy another tire brand again unless of course Specialized changes things and makes the tire worse which they done before as most tire companies will do. My previous best tire was the Vittoria Rubino Pro, these were really good tires to but the Specialized are more comfortable to ride on.
If flats are a huge concern for you, you can always add a liner to the tires, especially the rear since that's where 99% of the flats happen. I'm running the Specialized without liners just to see how they'll hold up, but that's all my road bike not my commuter bike.
My commuter bike I use a cheap pair of Panasonic Panaracer Stratus tires with liners that have worked out very well for the last 4 years of commuting on them, not cuts, no flats, and they wear like iron, yet the ride is reasonable. Those tires are no longer in production, but I think they changed the name to Closer Plus.
On my touring bike though I wanted a tank of a tire because I'm hauling an additional 50 pounds of weight and the last thing I want is a flat because I have to remove the panniers and fight with the fenders a bit so I went with Schwabe Marathon Greenguard tires, these weigh a lot but they roll nicely so you don't even really notice that they're heavy.
Anyway, you have to weigh out what you want in a tire, if you want speed but have really good flat protection I recommend the Specialized Roubaix Pro, it those are too expensive for you find a tire like the Panaracer Closer Plus, add a liner and you're good to go. If you want a bullet proof tire, which in your case may be an overkill, than get the Schwalbe Marathon Greenguard tire. There are lot of good tires on the market these days, the ones I mentioned is what I've used lately and had success with, and in no way am I implying their the best and only choice, except for the Schwalbe for touring, I don't believe there is a finer tire for that purpose.
I do know you need to stay away from Hutchinson tires, I had a set of Intensive II's, which is recent tire still in production, and the center smooth part of the tread literally began to peel off like a recap tire you see trucks lose! And after looking on the internet about these tires doing this it appears their entire line is doing that. I've never ever in over 55 years of riding bikes, from using the cheapest tires when I was kid to expensive tires and everything in between never had a tire peel like that, and I had a few bad ones but those Hutchinson's were and are the worst.