Check the source code.
AutoMapperConfigurationException is used when the mapping profiles are loaded up by AutoMapper. Its thrown my Automapper when performing a configuration checks.
[Test]
public void Mapper_AssertConfigurationIsValid_Expect_No_Exceptions()
{
AutoMapper.Mapper.AssertConfigurationIsValid();
}
AutoMapperMappingException is used during "runtime"...that is when the actual mapping code is run to turn your source dto to your destination dto.
HTH.