Preheat the oven to 320°F /160°C.
Beat the eggs in a mixer on high speed for 5 minutes until slightly puffy.
In a large bowl, mix the rest of the ingredients, and let the mixture cool for a few minutes.
Add the puffed eggs to the bowl, and using a spatula, mix thoroughly until combined.
Line a baking sheet with parchment paper and spread the dough as evenly as possible for about ½- inch (1 cm) thick.
Drizzle oil, and sprinkle coarse salt and rosemary (optional).
Bake for about 40 minutes until the bottom is golden and crisp. Remove the pan from the oven and let it cool for 10-20 minutes before cutting and serving.
Cut the bread into squares to serve or slice lengthwise for sandwiches using a pizza wheel.