Need some help understanding the Taylor Rule

According to the schweser notes, taylor rule formula is Nt=rn + ie + [0.5 (GDPe - GDPtrend)+ 0.5(ie-itarget)

I don’t understand why expected inflation is added after the neutral rate in the formula. Isn’t that the neutral rate is target inflation+Expected economy growth?

Please help me understand this Taylor rule… Thank you

rn is stated as a real policy rate (neutral rate in real terms)

So, rn + ie would be the neutral rate in nominal terms.

Thank you!