task_physics__circuit_equivalent__total_resistance_value

Summary

• Domain: physics
• Scene id: circuit_equivalent
• Implementation scene: circuit_equivalent
• Implementation source: src/trace_tasks/tasks/physics/circuit_equivalent/total_resistance_value.py

Task Contract

Computes equivalent resistance for a visible mixed series-parallel resistor network between terminals A and B.

Program Contract

Program: integer(equivalent_resistance(visible_resistors_between_terminals, series_parallel_topology)); scene=circuit_equivalent; scope=total_resistance_value

Candidate set: the visible components between terminals A and B, their values, and the series-parallel topology inside the total_resistance_value objective scope. Operands: visible_resistors_between_terminals (semantic_role, allowed labeled_resistors_between_A_B, source program_schema_concrete); series_parallel_topology (semantic_role, allowed mixed_series_parallel_topology, source program_schema_concrete). Operation: evaluate integer over the candidate set using the visible quantities, relations, branch semantics, and formulas encoded in the program expression; generation enforces a unique final answer. Output binding: answer uses the integer schema; The answer value is the exact equivalent resistance in ohms. Annotation witnesses: bbox witnesses from the finalized render. Annotation is one final-image pixel box around the full resistor network between terminals A and B, including resistor symbols, value labels, and connecting wires. Annotation must not mark decorative frame chrome, answer text, or inferred equivalent-resistance calculations. Query ids: single.

Reasoning Operations

Families: aggregation, topology, formula_evaluation

Query Branches

Query id	Program schema
single	integer(equivalent_resistance(visible_resistors_between_terminals, series_parallel_topology)); scene=circuit_equivalent; scope=total_resistance_value

Program Metadata

• Program signatures: physics.equivalent_resistance_value
• Base program contract: integer(equivalent_resistance(visible_resistors_between_terminals, series_parallel_topology)); scene=circuit_equivalent; scope=total_resistance_value
• Parameter axes: scene_variant, target_answer, accent_color_name
• Arguments:
• visible_resistors_between_terminals: semantic_role; allowed labeled_resistors_between_A_B; source program_schema_concrete
• series_parallel_topology: semantic_role; allowed mixed_series_parallel_topology; source program_schema_concrete
• Argument metadata status: curated
• Supported query_ids: single

Answer Contract

• Answer schema: integer
• Generator answer_gt.type: integer
• The answer value is the exact equivalent resistance in ohms.

Annotation Contract

• Annotation schema: bbox
• Generator annotation_gt.type: bbox
• Annotation is one final-image pixel box around the full resistor network between terminals A and B, including resistor symbols, value labels, and connecting wires.
• Annotation must not mark decorative frame chrome, answer text, or inferred equivalent-resistance calculations.
• Annotation and answer must be projected from the same generated execution trace, not inferred from pixels or prompt text.
• Scalar annotation checked: true.

Prompt And Trace Requirements

• Prompt text must come from the physics circuit-equivalent v1 prompt bundle, with scene and task/query layers selected deterministically and recorded in metadata.
• Render randomness, sampled fonts/styles, component values, topology blocks, target answer, and verifier payloads must be explicit in the instance trace.
• Diagrams must keep terminals A/B, all resistor labels, resistor values, and the mixed series-parallel topology visible.