task_charts__density_curve__interval_mass_extremum_label

Contract

1. Domain: charts
2. Scene id: density_curve
3. Source implementation domain/scene: charts/density_curve
4. Query ids: greatest_interval_mass_label, least_interval_mass_label
5. Semantic query details are recorded in query_id and trace params.

Implementation

1. Registered class: trace_tasks.tasks.charts.density_curve.interval_mass_extremum_label.ChartsDistributionDensityCurveIntervalMassExtremumLabelTask
2. Prompt lookup domain/scene: charts/density_curve
3. Generation is deterministic from instance_seed, explicit params, prompt bundle, renderer config, and code versions.
4. Answers and annotation are produced from the same metadata execution trace.

Annotation Contract

1. Answer schema: string_label.
2. Annotation schema: point.
3. Annotation should mark a point on the answer curve inside the marked interval, not the legend label, title, interval label, or full interval region.
4. Renderer context such as legends, axes, interval guides, titles, and distractor text is metadata unless the task explicitly asks for it as annotation.

Program Contract

Program: arg_extreme(curve_label, integral(density(curve_label), selected_interval), direction={greatest,least}); output=string_label; annotation=point(answer_interval_mass_curve_point); scene=density_curve; scope=interval_mass_extremum_label

Candidate set: the visible density curves, shaded regions, and axis labels inside the interval_mass_extremum_label objective scope. Operands: prompt-bound labels, categories, series names, thresholds, intervals, references, and encoded chart values, plus the active query id's comparator, direction, target role, or extremum focus when present. Operation: evaluate arg_extreme over the candidate set using the filters, comparisons, aggregations, rankings, projections, or counterfactual edits named in the program expression; generation enforces a unique final answer. Output binding: answer is the string_label value bound by string_label. Annotation witnesses: point witnesses bound by point(answer_interval_mass_curve_point). Annotation should mark a point on the answer curve inside the marked interval, not the legend label, title, interval label, or full interval region. Renderer context such as legends, axes, interval guides, titles, and distractor text is metadata unless the task explicitly asks for it as annotation. Query ids: greatest_interval_mass_label, least_interval_mass_label.

Reasoning Operations

Families: ranking, aggregation

Query Details

Query id	Program signature	Answer schema	Annotation schema
greatest_interval_mass_label	selection.interval_mass_extremum_label	string_label	point
least_interval_mass_label	selection.interval_mass_extremum_label	string_label	point