American laws are basically unrestricted as well. UK is more restrictive.
UK restricts procedurally. You have to file for an abortion and make the doctors and hearing officer believe that you should have an abortion and that it is for a non-frivolous reason. The US restricts substantively through time, place and manner that they may be done. i.e. in the UK, you have to file for abortion and the US, you have to prove that you really want one even though your local government says that you shouldn't and forces you to spend time to prove it and forces the doctor to spend money to prove he really wants to perform it.