Fused opcodes: LOOK_ADD1 (lookup + increment) and LOOK_SUB1
(lookup + decrement) emitted directly by compiler for (+ sym 1)
and (- sym 1) patterns. Eliminates one dispatch per loop iteration.
sum-to(50000) ratio improved from 59x to 45x vs Python.
ackermann(3,4) steady at 83x. 571 tests green.
Also defines LOOK_LOOK, CONST_EQ_JF, LOOK_CONST_CALL2
superinstruction opcodes (VM handlers ready, compiler emission
for remaining patterns deferred to next pass).
Benchmark: Python 0.04s, uncommonlisp 59s, Lean 1.5s — for the same claim.
The formal proof is 40x faster than brute-force search with mathematical
certainty instead of floating-point tolerance.
This is MOAD-0001 at the proof layer: O(N²) search friction where
O(1) algebraic reasoning suffices. Proof assistants are the hash set
to numerical analysis's nested loop.
Lean's type checker verifies all 5 theorems:
1. exp(x) = eml(x, 1)
2. e = eml(1, 1)
3. ln(x) = eml(1, eml(eml(1,x), 1))
4. 0 = eml(1, eml(eml(1,1), 1))
5. a - b = eml(ln(a), exp(b))
Zero sorry. Machine-verified. This is a proof, not numerical analysis.
