As you all know (I hope) the most common way to get experience for your hero is to send him/her on an attack. Thanks to a post by captain virk, with information from aom12, and I have also tested this information as well. In order to find out how much experience your hero will get multiply the number of troops you KILL in battle, not the total amount of troops lost on both sides.
Worker - 2.25
Warrior - 3.05
Scout - 6.95
Pikeman - 9
Swordsman - 13.5
Archer - 13.5
Cavalry - 28.5
Cataphract - 87.5
Transporter - 29.75
Ballista - 100
Battering Ram - 137.5
Catapult - 290
Trap - 8.75
Abaitis - 16.75
Archer's Tower - 54.5
Rolling log - 63
Defensive Trebuchet - 166
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