Deep neural network (DNN) applications are typically represented by tensor programs. To boost the performance of DNN computations, existing works adopt fully equivalent transformations for tensor program optimization by guaranteeing the equivalence on each element of tensors. However, as there are thousands of elements in a tensor, such optimization misses the opportunities that allow the in-equivalence of minority elements. In this work, we proposePet, the first work that introduces partially equivalent transformations to optimize tensor programs. To maintain the functional equivalence of tensor programs,Petautomatically finds and corrects the in-equivalent positions by leveraging the multi-linearity of DNN computations.Petfurther uses a mutation manager to improve search efficiency. Evaluation results show thatPetcan achieve up to 1.98$\times$and 2.20$\times$speedups on NVIDIA Tesla A100 and V100 respectively compared with existing DNN frameworks by introducing new optimization opportunities of partially equivalent transformations.