Neural net distilled into 26-node equation predicts planetary instability, beating analytic formulas

MilesCranmer · x · 2026-11-16

Researchers from Cornell, MIT and Cambridge distilled a neural network into closed-form algebraic equations that predict when multi-planet systems go dynamically unstable. Training on N-body simulations then applying symbolic regression yields a 26-node equation with 1.34–1.52 orders of magnitude accuracy on 3-planet systems, beating the Petit+2020 analytic formula (2.43–3.13 dex), and it zero-shot extrapolates to 5-planet systems. The two-stage pipeline shows symbolic learning can extract scientific insight from black-box networks while evaluating faster than both net inference and direct simulation.

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