TreeWalker: Partial Evaluation for Grouped Tree-Ensemble Inference

Durmus Karatay, Richard Newman

Many inference workloads evaluate a trained tree ensemble on row groups that share feature values: discrete-time survival models expand each patient into $G$ time steps, click-through-rate models score every item in a search session, and scenario analyses vary a few inputs while holding the rest fixed. Standard inference treats each row independently and repeats the shared work $G$ times. We present TreeWalker, which applies partial evaluation to grouped inference: constant features are static, varying features dynamic. It walks each tree once per group, partitions a row bitmask at varying splits, and skips empty subtrees. Training is unchanged: TreeWalker reads standard LightGBM and XGBoost models. We prove a structural work decomposition: per-tree work splits into the constant-projected subtree size $|T_c|$, $G$ leaf writes, and a predicate-mask provisioning cost $Q$. For the trace evaluator, per-row work approaches a $(d_v+1)/(d+1)$ fraction of a row-independent walk as $G \to \infty$. On Intel, TreeWalker is 2.5-3.2$\times$ faster than a row-independent traversal at the reference configuration ($T=500$, $L=8$) and 6.8-7.8$\times$ faster at $G=128$ on the survival datasets,…