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What Happens When You Force All Math Through One Operator?

DEV Community·Biswajyoti Nath·30 days ago
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Most symbolic systems rely on multiple primitives. Addition, multiplication, exponentials, logarithms — each plays a different role in structuring expressions. But what happens if you force everything through a single operator? This idea becomes concrete with the EML operator: eml(x, y) = exp(x) − ln(y) In theory, this operator can express all elementary functions. But theory doesn’t tell us what happens in practice. The Experiment I built a small Python framework to explore this idea. Instead of chasing universality, the focus is on structure: What changes when symbolic expressions are forced into a single nonlinear primitive? The framework: rewrites SymPy expressions into EML trees evaluates them back into standard form measures structural complexity (depth, node count, nonlinear nodes) includes a simple symbolic regression experiment What Actually Changes?…

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