russell@unturf.com
1a94fc0720
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.
22 lines
1 KiB
Bash
22 lines
1 KiB
Bash
#!/bin/bash
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# benchmark.sh — Run EML proof in both Python and uncommonlisp, compare times
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#
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# Usage: cd proof && bash benchmark.sh
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echo "═══════════════════════════════════════════════════════════════"
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echo "EML Universality Proof — Benchmark: Python vs uncommonlisp"
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echo "═══════════════════════════════════════════════════════════════"
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echo
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echo ">>> Python implementation"
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echo "---"
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time python3 eml_proof.py
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echo
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echo ">>> uncommonlisp implementation (--fast = bytecode compiled)"
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echo "---"
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time python3 ../uncommonlisp.py --fast eml_proof.lsp
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echo
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echo "═══════════════════════════════════════════════════════════════"
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echo "Benchmark complete."
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