Bugmaster comments on Configurations and Amplitude - Less Wrong
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I personally am a programmer, but the software I write (as well as other software, written by smarter people) is used by genetic engineers. They engineer plants for specific desired traits (stronger drought resistance, bigger fruit, whatever). To do this, they use a ton of conventional math (statistics, specifically), as well as numerical optimization methods (such as neural networks) in order to determine (simplistically speaking) which nucleotides on the genome have an effect on which trait.
A single chromosome of corn consists of about 200,000,000 nucleotides. Good luck with that trial and error !