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SymPy

As explained in Build a Reasoning Model (From Scratch)

An open-source Python library for symbolic mathematics used here to parse and compare expressions for equivalence.

SymPy provides the symbolic parsing and equivalence-checking step in a math verifier. It converts extracted, normalized model answers into comparable expressions instead of relying on fragile string equality. section 3.10 section 3.6

A robust SymPy-based check follows this workflow:

  • Reject missing or excessively long expressions, then parse with standard transformations and implicit multiplication support. section 3.6
  • Simplify basic arithmetic during parsing and return a null result for malformed model output or parser errors. section 3.6
  • Try exact string equality first; otherwise parse both expressions and test whether simplifying their difference produces zero. section 3.6

Equivalent fractions

SymPy treats 28/6 and 14/3 as the same mathematical value, and can likewise accept 0.5 and 1/2 when checking a model prediction against ground truth. section 3.6

Figure 3.8 An illustration of how an LLM-generated answer is checked against the correct reference answer (ground truth). The LLM’s final boxed answer is extracted, normalized, and compared to the correct answer provided in the dataset. If they match, the response is graded as correct.

Follow the verification flow from boxed-answer extraction and normalization to symbolic comparison with the dataset ground truth. section 3.6

How Build a Reasoning Model (From Scratch) covers it

How deep it goes
Implements parsing, safeguards, error handling, and difference-based equivalence, stopping short of broader evaluation design.
Examples
Demonstrates equivalent forms such as 28/6 and 14/3, plus 0.5 and 1/2.
What it assumes
Assumes extracted and normalized answer strings while introducing symbolic parsing for reliable comparison.
What you can do after
Apply it via SymPy to parse normalized expressions and diagnose malformed or mathematically unequal answers.
How it connects
Connects answer extraction, normalization, mathematical equivalence, verifiers, and ground truth.

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This explainer was generated by Manning's knowledge graph from the text of Build a Reasoning Model (From Scratch). The section links point to the parts of the book it draws on.