The word '実際には(じっさいには)' is near to 'in fact'.
This phrase is used in writing and talking.
The word '実は(じつは)' is near to 'to tell the truth'.
This phrase is used only in talking.
The word '事実(じじつ)' is near to the word 'fact'.
The word '現実(げんじつ)’ is near to the word 'real'.
These words are not used as same meaning.