In present paper, an original form of exact analytical solutions was introduced to solve nonlinear evolution equations by means of bilinear neural network method and symbolic computation. We gave high-order rational solutions including high-order lump-type solutions and higher-order rational solutions, periodic wave solutions, breather solutions and two kinds of rogue waves solutions of extended (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff-like equation to exemplify the availability and advantage of the proposed approach which expand exact analytical solutions of nonlinear evolution equations. Meanwhile, physical properties and characters of the solutions were graphically shown through several groups of maps which are determined by special values.