to-infinitves or gerunds

Are the pairs show the same or different meanings
To-infinitive : to refer to things that onestill has or still had to do; to talk about the purpose of an action; to announce some thing; to talk about an attempt to do something

Gerund: to refer to things that one did; to talk about making something; to refer to something that one did


Same or Different
1. I prefer to travel by train rather than travel by air.
I prefer travelling by train to travelling by air.
Same

2. I stopped to write
I stopped writing
D.

3. I must remember to invite Sally.
I remember inviting Sally.
D.

4. He tried to apply for the job.
He tried applying for the job.
D.

5. You will regret not to go to the beach.
You regret not waking up early