Abstract
Many dense linear algebra (DLA) operations are easy to understand at a high level and users get functional DLA code on new hardware relatively quickly. As a result, many people consider DLA to be a solved domain. The truth is that DLA is not DLA experts are rare because the tricks and variety of algorithms they need to get high performance take time to learn. DLA implementations are only available on a new architecture when an expert with enough experience goes through a rote process to implement many related DLA operations. While so much of the manual work is rote, this hardly suggests the domain is solved. We have not proven that we understand the field until we have automated the expert. Automate the expert for the entire field, and the field is closed. We view that goal as the equivalent of going to Mars. In practice, we will get to the moon automatically, and experts will then be freed up to worry about how to get from there to Mars.
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