# Numeric semantics and model quality

Understand how integer arithmetic affects correctness and model output quality.

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Document ID: `pllm.docs.learn.numeric-semantics-and-model-quality`  
Release: `0.1.0`

A model description defines the intended operators. An executable plan must also
choose integer representations, quantization scales, ring widths, nonlinear
approximations, and decoding rules. Each choice can introduce error or overflow.

PLLM selects `u16`, `u24`, or `u32` rings from the maximum signed output of each
prepared stage. This prevents overflow in that stage. It does not show that a
complete generation matches the source model. Quantized token lookup and output
head behavior also depend on the bundle schema and matrix orientation.

Report numeric error, overflow analysis, token agreement, and task quality as
separate results. See [numerics](/sdk/build/numerics/) and
[representations](/sdk/build/representations/).