New comment by simplesighman in "All elementary functions from a single binary operator"

simplesighman — Mon, 13 Apr 2026 04:28:55 +0000

Thanks for posting that. You had a transcribing typo which was corrected in the ECMAScript below. Here's the calculation for 5 x 7:

    const eml = (x,y) => Math.exp(x) - Math.log(y);
    const mul = (x,y) => eml(eml(1,eml(eml(eml(1,eml(eml(1,eml(1,x)),1)),eml(1,eml(eml(1,eml(y,1)),1))),1)),1);
    console.log(mul(5,7));

> 35.00000000000001

For larger or negative inputs you get a NaN because ECMAScript has limited precision and doesn't handle imaginary numbers.

New comment by simplesighman in "All elementary functions from a single binary operator"

simplesighman — Mon, 13 Apr 2026 03:48:03 +0000

> For example, exp(x)=eml(x,1), ln(x)=eml(1,eml(eml(1,x),1)), and likewise for all other operations

I read the paper. Is there a table covering all other math operations translated to eml(x,y) form?

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New comment by simplesighman in "All elementary functions from a single binary operator"

New comment by simplesighman in "All elementary functions from a single binary operator"