{"id":38127,"date":"2026-04-14T12:49:16","date_gmt":"2026-04-14T12:49:16","guid":{"rendered":"https:\/\/www.duck9.com\/blog\/?p=38127"},"modified":"2026-04-14T08:49:45","modified_gmt":"2026-04-14T12:49:45","slug":"ais-god-particle","status":"publish","type":"post","link":"https:\/\/www.duck9.com\/blog\/ais-god-particle\/","title":{"rendered":"AI\u2019s God Particle"},"content":{"rendered":"
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Researchers just proved that every single elementary function, sin, exp, log, sqrt, comes from one single binary operator. It is like finding the \u201cGod Particle” for calculus. In computer science, every complex program breaks down to a single logical operator: the NAND gate. It<\/div>\n<\/td>\n<\/tr>\n
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How To AI (@HowToAI_) 5K likes \u00b7 197 replies<\/font><\/a><\/div>\n
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  • A recent arXiv paper by Andrzej Odrzywo\u0142ek demonstrates that the binary operator eml(x,y) = exp(x) \u2212 ln(y), paired with constant 1, generates all elementary functions like sin, cos, log, sqrt, and arithmetic ops through repeated compositions forming identical-node binary trees.<\/span><\/li>\n
  • The uniform EML tree structure enables gradient-based symbolic regression with optimizers like Adam, allowing AI models to recover exact closed-form expressions from numerical data at shallow depths, offering a simpler, regular architecture for scientific machine learning.<\/span><\/li>\n
  • While theoretically elegant and analogous to NAND gates in logic, community responses highlight its impracticality for real computation due to numerical instability from exp\/ln and inefficiency compared to specialized functions.<\/span><\/li>\n
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    Researchers just proved that every single elementary function, sin, exp, log, sqrt, comes from one single binary operator. It is like finding the \u201cGod Particle” for calculus. In computer science, every complex program breaks down to a single logical operator: the NAND gate. It How To AI (@HowToAI_) 5K likes \u00b7 197 replies x.com A […]<\/p>\n","protected":false},"author":1,"featured_media":38128,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-38127","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/www.duck9.com\/blog\/wp-json\/wp\/v2\/posts\/38127","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.duck9.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.duck9.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.duck9.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.duck9.com\/blog\/wp-json\/wp\/v2\/comments?post=38127"}],"version-history":[{"count":0,"href":"https:\/\/www.duck9.com\/blog\/wp-json\/wp\/v2\/posts\/38127\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.duck9.com\/blog\/wp-json\/wp\/v2\/media\/38128"}],"wp:attachment":[{"href":"https:\/\/www.duck9.com\/blog\/wp-json\/wp\/v2\/media?parent=38127"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.duck9.com\/blog\/wp-json\/wp\/v2\/categories?post=38127"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.duck9.com\/blog\/wp-json\/wp\/v2\/tags?post=38127"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}