In this talk, I will first introduce the mirror symmetry for Calabi-Yau threefolds, which describes the genus zero structures of the Gromow-Witten theory. Then I will talk about the Feynman rule developed by Bershadsky-Cecotti-Ooguri-Vafa, which determines the higher genus structures.  Such a conjectural Feynman rule was proved for the quintic threefolds case, by Huai Liang Chang, Jun Li, Weiping Li and myself. We will consider its generalization in this talk.