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hey everybody im max and im going to be talking about fast and extensible equality saturation using a tool weve built called egg and right from the get-go egg stands for e-graphs good so hopefully by the end of the talk uh youll understand what egraph is and youll agree with me that they are super cool so lets get started uh basically i want to put the whole talk up front in one slide so were going to start with a little background on e-graphs and equality saturation and why these are really cool data structure and technique to build termi writing systems whether you want to build an optimizer or an equivalence checker or what have you and then were going to talk about our two two big contributions in this work which are deferred and variant maintenance which is a way to make a quality saturation faster by amortizing some of the work that you have to do to maintain the data structure and variance of the e-graph and the second is called e-class analyses and this is a technique