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feat(calc): powers, so compound growth and roots can be computed - #97
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hallelx2 merged 2 commits intoOct 17, 2026
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FinanceBench asks for CAGRs and multi-year growth, which need a power: ((end / start) ** (1 / years) - 1). The calculator took only + - * /, so those set-ups answered "could not be computed". ** and ^ are now powers in the grammar: power := atom [^ unary], right-associative, binding before a sign on the left. Refused: an exponent beyond 100, a fractional power of a negative number, zero to a negative power, any non-finite result. calc.Instructions shows the model a CAGR set-up.
Reviewer's GuideThe calculator now parses and evaluates bounded, finite powers using ** or ^, including right-associative fractional exponents for CAGR and roots, with explicit invalid-case handling. Prompt instructions and tests were updated to exercise the new syntax, precedence, and refusal rules. Sequence diagram for CAGR calculation with powerssequenceDiagram
participant Model
participant Instructions
participant Calculator
Model->>Instructions: Read CAGR setup using **
Model->>Calculator: Evaluate ((65984 / 65398) ** (1 / 2) - 1) * 100
Calculator->>Calculator: tokenize
Calculator->>Calculator: parse right-associative power
Calculator->>Calculator: math.Pow
Calculator-->>Model: 0.447
Flow diagram for power expression evaluationflowchart TD
A[Tokenize expression] --> B[Parse unary or power]
B --> C[Parse atom as base]
C --> D{Power operator present}
D -->|No| E[Return base]
D -->|Yes| F[Parse exponent recursively]
F --> G{Valid exponent and operands}
G -->|No| H[Return invalid error]
G -->|Yes| I[math.Pow]
I --> J{Finite result}
J -->|No| H
J -->|Yes| K[Return power result]
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Check name Status Explanation Description Check Check skipped - CodeRabbit’s high-level summary is enabled. Title check The title clearly and concisely describes the main change: adding power operators to support compound growth and roots. Linked Issues check Check skipped because no linked issues were found for this pull request. Out of Scope Changes check Check skipped because no linked issues were found for this pull request.
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Inline comments:
Review comments at @pkg/calc/calc.go:
- Line 422: Validate both power operands, base and exp, for NaN or infinity
before the switch in the power evaluation path; return an ErrInvalid-wrapped
error for any non-finite operand so math.Pow cannot mask overflow with a finite
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October 17, 2026 21:48
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The calculator now handles powers, so compound growth rates (CAGR) and roots can be computed.
Measured
In the held-out prompt test (100 FinanceBench questions outside the pilot sample),
...03718was set up as((65984 / 65398) ** (1/2) - 1) * 100, a two-year CAGR. The calculator accepted only+ - * /, so it answered "could not be computed", and Jev graded that as declined. FinanceBench asks for multi-year growth often.Change
**and^are powers, right-associative (2 ** 3 ** 2is 512). A power binds before a sign on its left (-2 ** 2is -4), as Python and spreadsheets read it. Fractional exponents give roots.calc.Instructionsshows the answer model a CAGR set-up. The bench's shared prompt text is left unchanged, soexcerpts-calc-v3keeps meaning one prompt; the model already writes**unprompted.03718's set-up now evaluates to 0.447.
Verification
**and^), a square root, right-associativity, a sign before a power, a sign in an exponent, and each refusal.Closes HAL-3274
Summary by Sourcery
Extend the calculator to evaluate powers and roots while safely refusing unsupported or non-finite calculations.
New Features:
**and^, enabling compound growth calculations such as CAGR.Bug Fixes:
Enhancements:
Tests:
Summary by CodeRabbit
**or^, including negative exponents and compound expressions.