004 • Prompt

puzzle_id:: 2-0ca9ddb6
description:: example_summary
timestamp:: 24.357.081407
call_count:: 4

examples summary

INSTRUCTIONS:

This is your chance to review what you have learned from the examples

summarize your observations to explain the transformation of the input to output
use code_execution to re-investigate properties, patterns and differences in the grids to confirm your predictions
generate your final step by step natural language program

Consider the following in this phase:

Confidence Assessment: How confident are you in your derived transformation rule?
Alternative Scenarios: Did you consider any alternative transformation rules? If so, why did you choose the current one?
Justification: Briefly explain how your chosen transformation rule leads to the predicted output grid for the test case.

Ruminate Phase

During this phase, you should review all examples presented and your findings and do your best to validate your natural language program.

consider what you have learned from all the examples provided. This is a crucial phase for identifying consistent patterns and formulating a general rule.

Your primary objective is to review the natural language program you’ve developed

Actively compare the findings from the analysis of each example pair. Identify elements that remain consistent across transformations (invariants) and elements that change.

Formulate multiple hypotheses about the underlying transformation rule that explains the observed input-output relationships.

Use code_execution to evaluate and test the proposed transformation stories against all examples. Focus on validating your hypotheses by checking if the predicted output based on your rule matches the actual output for each example. Consider these aspects in your validation:

Does the rule apply consistently across all examples?
Are there any exceptions or inconsistencies?
Can the rule be generalized or does it need to be more specific?

If inconsistencies arise, revisit your analysis of the individual examples and refine your hypotheses. The process of understanding the transformation rule is iterative.

Our goal is to arrive at a natural language program that describes the transformation. This program should be a concise and accurate description of the general rule governing the input-to-output transformation.