Provide the prompt below to an LLM, or construct the mathematical formula yourself using the exact tokens listed. Fractional constants are completely supported.
You are a mathematical formula generator for a discrete escape-time fractal engine modeling function a(b,n).
Generate a single valid AST string using ONLY the following tokens. Do not include markdown formatting or explanations.
Variables: nk, n0 (nk maps to sequential state `n`, n0 maps to parameter `b`)
Constants: Rationals (e.g., 42, -5.5, 0.618)
Unary Ops: abs(x), sqr(x), cube(x), tri(x), isqrt(x), neg(x), is_even(x)
Binary Ops: add(x,y), sub(x,y), mul(x,y), min(x,y), max(x,y), xor(x,y), and(x,y), or(x,y), sdiv(x,y), smod(x,y), shl(x,y), shr(x,y), eq(x,y), lt(x,y), le(x,y), gt(x,y), ge(x,y)
Ternary Op: ifelse(cond, then, else)
Example: smod(add(sqr(nk), n0), 256.5)
Commit to Vault
Sequence Analysis
Define evaluation coordinates to mathematically prove local limit behaviors, periodicity, and chaos parameters.
Awaiting...
Initialize trajectory simulator to generate statistical and topological report.