⌬ PILGRIM SANDBOX

A self-evolving language for the exact computation of π
runtime: BigInt-decimal · v0.6 · cube-coupled
pre-computing…
0Bare 1Bignum 2Series+ 3Library 4Lazy 5BBP 6Consensus
Gen 3 — Algorithm Library
Cross-validated π via Chudnovsky + Gauss-Legendre.

⚙ LANGUAGE SPECIFICATION

PRIMITIVES (cumulative)

EVOLUTION LOG

canonical.pilgrim

OUTPUT

▷ Pilgrim v0.6 runtime online.
▷ Pre-computing π at multiple precisions (this takes a moment)…

ALGORITHM DETAIL

📐 METRIC VECTOR Mₙ

D digits verified
T wall-clock (ms)
μ memory (KB)
R digits/iter
ε error bound
K cross-check
C next-digit cost

TARGET PROFILE

Demand D ≥100
Demand ε ≤10⁻²⁰⁰
Demand K =1
Deficiencies →

CUBE POSITION (lang · algo · precision)

X=primitives · Y=algorithm palette · Z=precision frontier

GRADIENT ‖∇H‖

⟨uninitialized⟩

⟲ ALL-GENERATION COMPARISON

GenNameAlgorithm DigitsTime (ms) R (digits/iter)ε (bound) KCDefect
pasted