All elementary functions from a single binary operator · HackerPapers discussions

All elementary functions from a single binary operator — mentioned by ebolyen

Mon, 22 Jun 2026 13:22:51 GMT

Was it this exp-minus-log arxiv paper?: https://arxiv.org/html/2603.21852v2

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All elementary functions from a single binary operator — HN submission

Wed, 15 Apr 2026 12:33:56 GMT

Show HN: Monogate – EML operator family, hybrid framework, 108-node sin(x)

EML operator family, 52-74% node reduction, and empirical results from 36 hours of building We spent 36 hours implementing and extending arXiv:2603.21852 (Odrzywołek, 2026 — the "NAND gate for continuous math" paper that was on the front page two days ago). What we found: phantom attractors in EML symbolic regression, a Lambert W fixed point governing right-chain trees, two new operators (EDL, EXL), a HybridOperator that cuts node counts 52-74%, and machine-precision Taylor sin(x) at 108 nodes. npm install monogate / pip install monogate Live explorer: https://explorer.monogate.dev/ Challenge…

2 points; 0 discussion replies on HN. Paper and source history. A submission is not an endorsement.

All elementary functions from a single binary operator — mentioned by pveierland

Mon, 13 Apr 2026 09:04:48 GMT

Got curious to see whether SymPy could be used to evaluate the expressions, so I used Claude Code to build a quick evaluator. Numeric and symbolic results appear to agree: nix run github:pveierland/eml-eval EML Evaluator — eml(x, y) = exp(x) - ln(y) Based on arXiv:2603.21852v2 by A. Odrzywołek Constants ------------------------------------------------------------------------------ 1 K=1 d=0 got 1 expected 1 sym=ok num=ok [simplify] e K=3 d=1 got 2.718281828 expected 2.718281828 sym=ok num=ok [simplify] 0 K=7 d=3 got 0 expected 0 sym=ok num=ok [simplify] -1 K=17 d=7 got -1 expected -1 sym=ok…

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All elementary functions from a single binary operator — mentioned by eugene3306

Mon, 13 Apr 2026 05:28:31 GMT

This makes a good benchmark LLMs: ``` look at this paper: https://arxiv.org/pdf/2603.21852 now please produce 2x+y as a composition on EMLs ``` Opus(paid) - claimed that "2" is circular. Once I told it that ChatGPT have already done this, finished successfully. ChatGPT(free) - did it from the first try. Grok - produced estimation of the depth of the formula. Gemini - success Deepseek - Assumed some pre-existing knowledge on what EML is. Unable to fetch the pdf from the link, unable to consume pdf from "Attach file" Kimi - produced long output, stopped and asked to upgrade GLM - looks ok

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All elementary functions from a single binary operator — HN submission

Mon, 13 Apr 2026 01:49:32 GMT

All elementary functions from a single binary operator

858 points; 298 discussion replies on HN. Paper and source history. A submission is not an endorsement.