Mix the all purpose and rye flours, cornmeal, sugar, salt, thyme in a large bowl. Ensure ingredients are evenly distributed.
Peel and trim carrots. Pulse in food processor til they are finely grated.
Combine water and oil in a separate cup.
Add ingredients to the bread machine in the order recommended by the manufacturer. Mine is Liquids (so water, oil and carrots), dry (flour mixture) and sprinkle yeast on top.
Set machine to dough cycle.
Lightly oil a cast iron skillet or 2 loaf pans. When dough cycle is done remove dough and shape into a round ball in the skillet or into loaves. Cover and allow to rise another 30 minutes.
Preheat oven to 400 degrees. Cut 3 diagonal slits on top of the dough. Bake for approximately 30-35 minutes until it golden brown and sounds slightly hollow when tapped.