Introduction Positioning Inception Evolution Prior Art Lessons from ONNX Lessons from LIFT Lessons from XLA Lessons from Halide and TVM Lessons from Tensor Comprehensions Lessons from Polyhedral compilers Lessons from the Affine dialect Core Guiding Principles Transformations and Simplicity First Preservation of Information Composable and Declarative Transformations Suitability for Search and Machine Learning Extensibility and Future-Proofness Key Observations Algorithms + Data Structures = P...