Give a stream of consciousness and then the final answer. The eruption destroyed the city, killing its inhabitants and burying it under tons of ash. Evidence for the destruction originally came from a surviving letter by Pliny the Younger, who saw the eruption from a distance and described the death of his uncle Pliny the Elder, an admiral of the Roman fleet, who tried to rescue citizens. The site was lost for about 1,500 years until its initial rediscovery in 1599 and broader rediscovery almost 150 years later by Spanish engineer Rocque Joaquin de Alcubierre in 1748. The objects that lay beneath the city have been preserved for more than a millennium because of the long lack of air and moisture. These artefacts provide an extraordinarily detailed insight into the life of a city during the Pax Romana. During the excavation, plaster was used to fill in the voids in the ash layers that once held human bodies. This allowed archaeologists to see the exact positions the people were in when they died.

Based on this passage, when did they find the ruins of pompeii?
The relevant sentence in the passage is: The site was lost for about 1,500 years until its initial rediscovery in 1599 and broader rediscovery almost 150 years later by Spanish engineer Rocque Joaquin de Alcubierre in 1748.
So, the final answer is 1599.