task_charts__density_curve__density_at_x_extremum_label

Contract

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

Implementation

1. Registered class: trace_tasks.tasks.charts.density_curve.density_at_x_extremum_label.ChartsDistributionDensityCurveDensityAtXExtremumLabelTask
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 the point where the answer curve intersects the marked x-value, not the legend label, title, axis text, or reference-line label.
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, density(curve_label,x_ref), direction={highest,lowest}); output=string_label; annotation=point(answer_density_at_x); scene=density_curve; scope=density_at_x_extremum_label

Candidate set: the visible density curves, shaded regions, and axis labels inside the density_at_x_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_density_at_x). Annotation should mark the point where the answer curve intersects the marked x-value, not the legend label, title, axis text, or reference-line label. 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: highest_density_at_x_label, lowest_density_at_x_label.

Reasoning Operations

Families: ranking

Query Details

Query id	Program signature	Answer schema	Annotation schema
highest_density_at_x_label	selection.density_at_x_extremum_label	string_label	point
lowest_density_at_x_label	selection.density_at_x_extremum_label	string_label	point