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🧪 Transcendent Logic Transcendence Simulation

Watch a self-modifying logic tree rewrite its own structure — mutating operators, constants and subtrees under a simulated-annealing acceptance rule — as it climbs toward a target function. A concrete model of a system that optimizes its own logical structure.

Machine Learning & Neural Networks2DModerate60 FPS📱 Mobile-adapted

This simulation makes "a system that optimizes its own logical structure" concrete: the object being optimized is not a set of numbers but a small program — an expression tree of operators and constants over a variable x. Each generation it proposes an edit to its own structure (replace a subtree, perturb a constant, swap an operator, wrap or simplify a node), scores the edit by how much closer the tree's output curve gets to a chosen target function, and accepts or rejects the edit with a simulated-annealing rule that lets it explore broadly while temperature is high and settle into a refined structure as temperature cools. The 3D tree, its live node/edge structure, and the converging output curve make the self-modification and the optimization dynamics directly visible.

⚙ Under the hood

This simulation explores the theoretical possibilities of a self-modifying system that can optimize its own logical structure. It demonstrates fundamental concepts related to optimization and complex systems.

TranscendenceLogicAbstraction

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install