How to make the email app on iOS work like Gmail app?

How to make the email app on iOS work like Gmail app?

I tried searching for Macy's e-receipt by typing in Macy receipt on my Mac
using Gmail, and the result came back in 1 second. (some of those emails
were 1 month old, and another one 2 months old).
But when I tried that using the email app on iPhone with iOS 6.1.4,
nothing came back, and I click "Subject", and I changed the keyword to
Macy's e-receipt and clicked "Continue Search on Server..." and it just
kept on turning the spinning wheel for 2 minutes and nothing came back.
And then I searched for and installed the Gmail app on the iPhone, and
type in Macy receipt and the result came back in 1 second.
So how do I make the email app standard on iOS work like Gmail's search?