Does a unit with the "ignores terrain cost" promotion benefit from the "woodsman" promotion?

Some units, such as scouts, minutemen, or units upgraded from them, get the "ignores terrain cost" promotion which means every terrain tile costs 1 movement point (or less if it's a road). However, the woodsman promotion explicitly says that forests and jungles cost half the movement points.

My question is, how many movements points does a forest tile cost for a unit with both of these promotions? 1.0 or 0.5?

A unit with the "ignores terrain cost" promotion does not benefit from the woodsman promotion at all - I've just chose that promotion hoping for 0.5 but instead forest tiles still cost 1.0 movement point :(