Heat the pan to medium-high heat (9 out of 14 on my stove).
Chop the onion and garlic.
Add bay leaf, garlic, thyme, and onion to the pan and sauté. i.e., let it heat until it softens. It should not get a crust.
Peel the carrots and cut them into thin slices. Add them to the pan.
Let the carrots simmer for a few minutes.
Add the stock and let it simmer until the carrots and onions are completely tender. You should be able to cut them with a spoon.
Remove thyme and bay leaf and pour everything into a blender.
Blend until completely smooth and add salt, pepper, and optionally Xanthan gum (it stabilizes the puree).
Season with more salt and pepper if needed and serve immediately.
Bon appétit.