Proof that eml(x,y) = exp(x) - ln(y) with constant 1 generates all elementary functions. Both Python and uncommonlisp implementations. Chain: e → exp → ln → 0 → subtraction → negatives → complex plane (via ln(negative) = ln(|neg|) + iπ) → π, i, sin, cos, all arithmetic. Python: 17 checks, 0.03s. uncommonlisp: 14 checks, 111s. All checks pass at 1e-10 tolerance. |
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| .. | ||
| benchmark.sh | ||
| eml_proof.lsp | ||
| eml_proof.py | ||