Put 1 cup warm water, 2 teaspoons active-dry yeast and 1 teaspoon sugar or honey in a large bowl (if you use a stand mixer use its bowl) and mix lightly. Leave 4-5 minutes until foamy or bubbly.
Add 1 cup flour and mix with a spoon.
Add 3 tablespoons olive oil and 2 teaspoons kosher or sea salt.
Mix everything and add the rest of the 1 and ½ cups flour, half a cup at a time. Wait until all the flour is incorporated and see if it comes together. You might not need all the flour.
Move this shaggy mass to the counter and knead for 5 minutes (if using a stand mixer with the dough hook) until it’s well integrated and smooth but slightly sticky. This is fine. Don’t be tempted to add flour until it loses all the stickiness because it will make a tough bread.
Transfer to an oiled bowl, turn the dough so that all sides are greased, cover with film or a kitchen towel and leave to rise until it doubles its volume, about 1 hour.
Have ready a round or square 8 or 9-inch pan, well oiled. The difference in size will result in a higher or shorter focaccia.
Punch the dough down softly and transfer the dough to the oiled pan.
Stretch with your hands without forcing it and making sure it doesn't tear. It might refuse to stretch as much as you want on your first try, so let it rest for a few minutes and stretch it some more. Do this until it fills the pan.
Cover with a kitchen towel or loose piece of plastic wrap and leave to rise until puffy, about 45 minutes. At this point, you can put the pan (tightly covered with plastic wrap but not touching the surface if possible) in the refrigerator until the next day. Take it out and leave it at room temperature until it puffs up before continuing.
Turn the oven to 400°F (200°C) about 20 minutes before you plan to bake it, so it's well pre-heated.
Dimple the surface with your fingers, making indentations but without breaking the dough. Some dimples will stay in place, some will spring back, it's normal. Just make sure most of the surface is covered.
Drizzle 2 or 3 tablespoons olive oil and sprinkle about ½ teaspoon sea or kosher salt and 1 teaspoon dried or fresh oregano and 1 teaspoon dried or fresh thyme on top.
Top with 1 cup cherry tomatoes, halved, or slices of large, round ones.
Bake for 35-40 minutes, until golden brown and crisp. If in doubt, lift carefully a corner of the focaccia (you should be able to do this pretty easily) and check that the bottom is brown and crisp. Leave it a few more minutes if you need to.
Transfer to a wire rack and let cool a little before removing it from the pan.
Eat warm, or let cool completely, wrap tightly and freeze for a month or more. Let thaw at room temperature and warm before eating.