---
title: "Enumerate weight-free Pareto-efficient electional rule relaxations"
method: POST
path: "/api/astro/electional-criterion-budget-pareto-audit"
tags: ["Calculations"]
---

# Enumerate weight-free Pareto-efficient electional rule relaxations

`POST /api/astro/electional-criterion-budget-pareto-audit`

## Request

- Base URL: `https://api.cosmicephemeris.com`
- URL: `https://api.cosmicephemeris.com/api/astro/electional-criterion-budget-pareto-audit`
- Auth: one of:
  - HTTP bearer
  - API key in header `x-api-key`

Evaluates one fixed 15-minute grid, projects it onto every 30- and 60-minute phase, and returns every non-dominated rule-relaxation set at every exact omission budget. A candidate is dominated only when another candidate matches at least as many samples on every evaluable grid and strictly more on at least one; exact dominance certificates make every exclusion auditable. This is transparent sampled-set arithmetic, not continuous-time proof, weighting, recommendation, interpretation, prediction, probability, or statistical confidence. No licensed catalog, new dependency, or request-time network source is used. One standard quota unit per admitted request; failed or timed-out admitted attempts are not refunded. Do not automatically retry.
Historical mode uses an explicit BCE/CE date object and UT1 conventions. Its response is the versioned historical envelope, not the modern UTC envelope. Read result for calculation fields and metadata for limits and uncertainty.

## Headers

- `X-Cosmic-Ephemeris-Receipt` 'v1'

## Request body

- union
  - ElectionalCriterionBudgetParetoAuditRequest
    - `start_utc` string, date-time, required
    - `end_utc` string, date-time, required
    - `location` GeographicLocation, required: Geographic coordinates in decimal degrees. The server rejects exactly -90 and +90 latitude because angles and houses are undefined at the poles.
      - `lat` union, required: WGS84 decimal latitude. JSON numbers are recommended; numeric strings are accepted by the current engine, then checked for finiteness/range. Exact poles and undefined Ascendant geometry return 400; supported successful latitude is strictly between -90 and 90. Boolean/null/object/array coordinates are invalid.
        - number
        - string
      - `lon` union, required: WGS84 decimal longitude, east positive, within [-180,180]. JSON numbers are recommended; numeric strings are accepted then checked for finiteness/range.
        - number
        - string
    - `profile` union, required
      - object
        - `zodiac` 'tropical', required
      - object
        - `zodiac` 'sidereal', required
        - `ayanamsa` 'lahiri' | 'raman' | 'krishnamurti' | 'fagan_bradley' | 'yukteshwar' | 'sassanian' | 'true_chitra' | 'true_revati' | 'true_pushya' | 'galactic_center_0_sagittarius' | 'galactic_alignment_mardyks', required
    - `filters` ElectionalFilters, required
      - `moon_signs` ElectionalSignName[]
      - `moon_phase_sectors` MoonPhaseSector[]
      - `mercury_motion` 'direct' | 'retrograde'
      - `ascendant_signs` ElectionalSignName[]
      - `aspects` ElectionalAspectFilter[]
        - `body_a` 'sun' | 'moon' | 'mercury' | 'venus' | 'mars' | 'jupiter' | 'saturn' | 'uranus' | 'neptune' | 'pluto', required
        - `body_b` 'sun' | 'moon' | 'mercury' | 'venus' | 'mars' | 'jupiter' | 'saturn' | 'uranus' | 'neptune' | 'pluto', required
        - `aspect` 'conjunction' | 'sextile' | 'square' | 'trine' | 'opposition', required
        - `max_orb_degrees` number, required
  - HistoricalElectionalCriterionBudgetParetoAuditRequest: Explicit historical mode, 1000 BCE (BC)–2500 CE (AD). No year zero, implicit calendar, UTC or IANA zone. Preserve tool-specific mathematical, geographic and search limits; calendar/time conventions and estimated Delta-T are not certified historical accuracy.
    - `location` object, required: Geographic coordinates in decimal degrees. The server rejects exactly -90 and +90 latitude because angles and houses are undefined at the poles.
      - `lat` union, required: WGS84 decimal latitude. JSON numbers are recommended; numeric strings are accepted by the current engine, then checked for finiteness/range. Exact poles and undefined Ascendant geometry return 400; supported successful latitude is strictly between -90 and 90. Boolean/null/object/array coordinates are invalid.
        - number
        - string
      - `lon` union, required: WGS84 decimal longitude, east positive, within [-180,180]. JSON numbers are recommended; numeric strings are accepted then checked for finiteness/range.
        - number
        - string
    - `profile` union, required
      - object
        - `zodiac` 'tropical', required
      - object
        - `zodiac` 'sidereal', required
        - `ayanamsa` 'lahiri' | 'raman' | 'krishnamurti' | 'fagan_bradley' | 'yukteshwar' | 'sassanian' | 'true_chitra' | 'true_revati' | 'true_pushya' | 'galactic_center_0_sagittarius' | 'galactic_alignment_mardyks', required
    - `filters` object, required
      - `moon_signs` string[]
      - `moon_phase_sectors` string[]
      - `mercury_motion` 'direct' | 'retrograde'
      - `ascendant_signs` string[]
      - `aspects` object[]
        - `body_a` 'sun' | 'moon' | 'mercury' | 'venus' | 'mars' | 'jupiter' | 'saturn' | 'uranus' | 'neptune' | 'pluto', required
        - `body_b` 'sun' | 'moon' | 'mercury' | 'venus' | 'mars' | 'jupiter' | 'saturn' | 'uranus' | 'neptune' | 'pluto', required
        - `aspect` 'conjunction' | 'sextile' | 'square' | 'trine' | 'opposition', required
        - `max_orb_degrees` number, required
    - `start` HistoricalDateTime, required: Shared historical input contract; parsing alone does not enable a calculation route. Derived calculation records can include fractional seconds and are not this input type.
      - `date` HistoricalDate, required: Explicit civil date, 1000 BCE (BC)–2500 CE (AD); no year zero. Calendar validity is checked by the server. Available only on documented connected historical operations, with explicit UT1/fixed-offset conventions.
        - `year` integer, required
        - `era` 'BCE' | 'CE', required: Display BCE (BC) / CE (AD); API values remain BCE / CE. No year zero.
        - `month` integer, required
        - `day` integer, required
        - `calendar` 'proleptic_gregorian' | 'proleptic_julian', required: Explicit choice; applies the selected calendar rules throughout history without a regional adoption switch.
      - `time` string, required: Explicit HH:MM[:SS]; whole seconds only, no leap seconds. Normalized helper output includes seconds.
      - `timezone` string, required: Explicit UT1 or fixed offset UT1+/-HH:MM[:SS], within 14 hours. Local clock minus offset yields UT1, not UTC. No IANA timezone inference. Original offset spelling is preserved.
    - `end` HistoricalDateTime, required: Shared historical input contract; parsing alone does not enable a calculation route. Derived calculation records can include fractional seconds and are not this input type.
      - `date` HistoricalDate, required: Explicit civil date, 1000 BCE (BC)–2500 CE (AD); no year zero. Calendar validity is checked by the server. Available only on documented connected historical operations, with explicit UT1/fixed-offset conventions.
        - `year` integer, required
        - `era` 'BCE' | 'CE', required: Display BCE (BC) / CE (AD); API values remain BCE / CE. No year zero.
        - `month` integer, required
        - `day` integer, required
        - `calendar` 'proleptic_gregorian' | 'proleptic_julian', required: Explicit choice; applies the selected calendar rules throughout history without a regional adoption switch.
      - `time` string, required: Explicit HH:MM[:SS]; whole seconds only, no leap seconds. Normalized helper output includes seconds.
      - `timezone` string, required: Explicit UT1 or fixed offset UT1+/-HH:MM[:SS], within 14 hours. Local clock minus offset yields UT1, not UTC. No IANA timezone inference. Original offset spelling is preserved.

## Response `200`

Exact Pareto frontiers and dominance certificates across seven sampling grids

- union
  - ElectionalCriterionBudgetParetoAuditResponse
    - `type` 'electional_criterion_budget_pareto_audit', required
    - `status` 'current', required
    - `input` ElectionalCriterionBudgetParetoAuditRequest, required
      - `start_utc` string, date-time, required
      - `end_utc` string, date-time, required
      - `location` GeographicLocation, required: Geographic coordinates in decimal degrees. The server rejects exactly -90 and +90 latitude because angles and houses are undefined at the poles.
        - `lat` union, required: WGS84 decimal latitude. JSON numbers are recommended; numeric strings are accepted by the current engine, then checked for finiteness/range. Exact poles and undefined Ascendant geometry return 400; supported successful latitude is strictly between -90 and 90. Boolean/null/object/array coordinates are invalid.
          - number
          - string
        - `lon` union, required: WGS84 decimal longitude, east positive, within [-180,180]. JSON numbers are recommended; numeric strings are accepted then checked for finiteness/range.
          - number
          - string
      - `profile` union, required
        - object
          - `zodiac` 'tropical', required
        - object
          - `zodiac` 'sidereal', required
          - `ayanamsa` 'lahiri' | 'raman' | 'krishnamurti' | 'fagan_bradley' | 'yukteshwar' | 'sassanian' | 'true_chitra' | 'true_revati' | 'true_pushya' | 'galactic_center_0_sagittarius' | 'galactic_alignment_mardyks', required
      - `filters` ElectionalFilters, required
        - `moon_signs` ElectionalSignName[]
        - `moon_phase_sectors` MoonPhaseSector[]
        - `mercury_motion` 'direct' | 'retrograde'
        - `ascendant_signs` ElectionalSignName[]
        - `aspects` ElectionalAspectFilter[]
          - `body_a` 'sun' | 'moon' | 'mercury' | 'venus' | 'mars' | 'jupiter' | 'saturn' | 'uranus' | 'neptune' | 'pluto', required
          - `body_b` 'sun' | 'moon' | 'mercury' | 'venus' | 'mars' | 'jupiter' | 'saturn' | 'uranus' | 'neptune' | 'pluto', required
          - `aspect` 'conjunction' | 'sextile' | 'square' | 'trine' | 'opposition', required
          - `max_orb_degrees` number, required
    - `pareto_status` 'indeterminate_no_evaluable_samples' | 'indeterminate_incomplete_grid_evidence' | 'pareto_frontiers_observed', required
    - `criteria` ElectionalCriterionRelationDefinition[], required
      - `id` string, required
      - `kind` 'moon_signs' | 'moon_phase_sectors' | 'mercury_motion' | 'ascendant_signs' | 'aspect', required
    - `samples` ElectionalFeasibilityAuditSample[], required
      - `id` string, required
      - `utc` string, date-time, required: Normalized UTC timestamp; fractional seconds may be present.
      - `status` 'available' | 'unavailable', required
      - `reason_code` 'undefined_for_input_geometry', nullable, required
      - `matches_all` boolean, nullable, required
      - `matched_criterion_ids` string[], nullable, required
      - `failed_criterion_ids` string[], nullable, required
      - `criteria` ElectionalRobustnessAuditEvaluation[], nullable, required
        - `id` string, required
        - `kind` 'moon_signs' | 'moon_phase_sectors' | 'mercury_motion' | 'ascendant_signs' | 'aspect', required
        - `matched` boolean, required
        - `observed` union, required
          - 'Aries' | 'Taurus' | 'Gemini' | 'Cancer' | 'Leo' | 'Virgo' | 'Libra' | 'Scorpio' | 'Sagittarius' | 'Capricorn' | 'Aquarius' | 'Pisces'
          - 'new_moon' | 'waxing_crescent' | 'first_quarter' | 'waxing_gibbous' | 'full_moon' | 'waning_gibbous' | 'last_quarter' | 'waning_crescent'
          - 'direct' | 'retrograde' | 'stationary'
          - number
    - `grids` ElectionalCriterionBudgetStabilityGrid[], required
      - `id` string, required
      - `sample_minutes` 15 | 30 | 60, required
      - `phase_offset_minutes` 0 | 15 | 30 | 45, required
      - `sample_count` integer, required
      - `available_sample_count` integer, required
      - `unavailable_sample_count` integer, required
      - `sample_ids` string[], required
    - `budgets` ElectionalCriterionBudgetParetoBudget[], required
      - `id` string, required
      - `omitted_criterion_count` integer, required
      - `evaluated_subset_count_per_grid` integer, required
      - `candidate_option_count` integer, required
      - `options` ElectionalCriterionBudgetParetoOption[], required
        - `id` string, required
        - `omitted_criterion_ids` string[], required
        - `omitted_criterion_kinds` string[], required
        - `grid_results` ElectionalCriterionBudgetParetoGridResult[], required
          - `grid_id` string, required
          - `status` 'evaluable' | 'unavailable', required
          - `matching_sample_count` integer, nullable, required
          - `grid_maximum_matching_sample_count` integer, nullable, required
          - `deficit_from_grid_optimum_sample_count` integer, nullable, required
        - `pareto_optimal` boolean, required
        - `dominated_by_option_count` integer, required
        - `domination_certificates` ElectionalCriterionBudgetParetoDominanceCertificate[], required
          - `dominating_option_id` string, required
          - `strict_improvement_grid_ids` string[], required
      - `pareto_option_count` integer, required
      - `pareto_option_ids` string[], required
      - `strictly_dominated_option_count` integer, required
      - `dominance_relation_count` integer, required
      - `pareto_status` 'pareto_frontier_observed' | 'indeterminate_incomplete_grid_evidence', required
    - `summary` object, required
      - `finest_sample_count` integer, required
      - `finest_available_sample_count` integer, required
      - `finest_unavailable_sample_count` integer, required
      - `criterion_count` integer, required
      - `grid_count` unknown, required
      - `evaluable_grid_count` integer, required
      - `unevaluable_grid_count` integer, required
      - `unevaluable_grid_ids` string[], required
      - `budget_count` integer, required
      - `evaluated_subset_optimization_count` integer, required
      - `returned_candidate_option_count` integer, required
      - `returned_option_grid_result_count` integer, required
      - `returned_pareto_option_count` integer, required
      - `returned_dominance_relation_count` integer, required
    - `fallback` object, required
      - `performed` unknown, required
      - `selected_system` unknown, required
    - `metadata` object, required
      - `model` 'cosmicephemeris-electional-criterion-budget-pareto-audit-v1', required
      - `ephemeris` 'JPL-DE440', required
      - `sampling_method` 'single_15_minute_grid_with_all_30_and_60_minute_phase_projections', required
      - `interval` 'start_inclusive_end_exclusive', required
      - `finest_sample_minutes` unknown, required
      - `grid_specs` object[], required
        - `sample_minutes` 15 | 30 | 60, required
        - `phase_offset_minutes` 0 | 15 | 30 | 45, required
      - `phase_offset_origin` 'request_start', required
      - `maximum_interval_days` unknown, required
      - `maximum_chart_evaluations` unknown, required
      - `maximum_criterion_count` unknown, required
      - `maximum_grid_count` unknown, required
      - `maximum_budget_count` unknown, required
      - `maximum_subset_count_per_grid` unknown, required
      - `maximum_subset_optimization_count` unknown, required
      - `maximum_in_memory_subset_sample_projections` unknown, required
      - `maximum_returned_candidate_option_count` unknown, required
      - `maximum_returned_option_grid_result_count` unknown, required
      - `maximum_returned_dominance_relation_count` unknown, required
      - `dominance_definition` 'at_least_as_many_matching_samples_on_every_evaluable_grid_and_strictly_more_on_at_least_one', required
      - `pareto_semantics` 'option_is_not_dominated_by_any_other_option_within_the_same_exact_omission_budget', required
      - `all_pareto_ties_returned` unknown, required
      - `weights_applied` unknown, required
      - `floating_point_comparison` unknown, required
      - `chart_recalculation_for_grid_projections` unknown, required
      - `unavailable_samples_excluded_from_dominance` unknown, required
      - `continuous_time_guarantee` unknown, required
      - `unsampled_instants_evaluated` unknown, required
      - `astrological_quality_ranking` unknown, required
      - `recommendations` unknown, required
      - `interpretations` unknown, required
      - `predictions` unknown, required
      - `statistical_confidence` unknown, required
      - `request_time_network` unknown, required
    - `receipt` CalculationReceipt
      - `schema` 'cosmicephemeris-calculation-receipt-v1', required
      - `kid` string, required
      - `algorithm` 'Ed25519', required
      - `canonicalization` 'cosmicephemeris-canonical-data-v1', required
      - `input_normalization` 'public-request-canonical-data-v1', required
      - `route` string, required
      - `release` string, required
      - `issued_at` string, date-time, required
      - `normalized_input_sha256` string, required
      - `result_sha256` string, required
      - `calculation_profile` object, required
      - `service_dataset_versions` object, required
      - `calculation_fingerprint` string, required
      - `verification_uri` string, required
      - `signature` string, required
  - HistoricalElectionalCriterionBudgetParetoAuditElectionalCriterionBudgetParetoAuditResponse
    - `schema` 'cosmicephemeris-historical-calculation-v1', required
    - `status` 'historical', required
    - `type` 'electional-criterion-budget-pareto-audit', required
    - `input` HistoricalElectionalCriterionBudgetParetoAuditRequest, required: Explicit historical mode, 1000 BCE (BC)–2500 CE (AD). No year zero, implicit calendar, UTC or IANA zone. Preserve tool-specific mathematical, geographic and search limits; calendar/time conventions and estimated Delta-T are not certified historical accuracy.
      - `location` object, required: Geographic coordinates in decimal degrees. The server rejects exactly -90 and +90 latitude because angles and houses are undefined at the poles.
        - `lat` union, required: WGS84 decimal latitude. JSON numbers are recommended; numeric strings are accepted by the current engine, then checked for finiteness/range. Exact poles and undefined Ascendant geometry return 400; supported successful latitude is strictly between -90 and 90. Boolean/null/object/array coordinates are invalid.
          - number
          - string
        - `lon` union, required: WGS84 decimal longitude, east positive, within [-180,180]. JSON numbers are recommended; numeric strings are accepted then checked for finiteness/range.
          - number
          - string
      - `profile` union, required
        - object
          - `zodiac` 'tropical', required
        - object
          - `zodiac` 'sidereal', required
          - `ayanamsa` 'lahiri' | 'raman' | 'krishnamurti' | 'fagan_bradley' | 'yukteshwar' | 'sassanian' | 'true_chitra' | 'true_revati' | 'true_pushya' | 'galactic_center_0_sagittarius' | 'galactic_alignment_mardyks', required
      - `filters` object, required
        - `moon_signs` string[]
        - `moon_phase_sectors` string[]
        - `mercury_motion` 'direct' | 'retrograde'
        - `ascendant_signs` string[]
        - `aspects` object[]
          - `body_a` 'sun' | 'moon' | 'mercury' | 'venus' | 'mars' | 'jupiter' | 'saturn' | 'uranus' | 'neptune' | 'pluto', required
          - `body_b` 'sun' | 'moon' | 'mercury' | 'venus' | 'mars' | 'jupiter' | 'saturn' | 'uranus' | 'neptune' | 'pluto', required
          - `aspect` 'conjunction' | 'sextile' | 'square' | 'trine' | 'opposition', required
          - `max_orb_degrees` number, required
      - `start` HistoricalDateTime, required: Shared historical input contract; parsing alone does not enable a calculation route. Derived calculation records can include fractional seconds and are not this input type.
        - `date` HistoricalDate, required: Explicit civil date, 1000 BCE (BC)–2500 CE (AD); no year zero. Calendar validity is checked by the server. Available only on documented connected historical operations, with explicit UT1/fixed-offset conventions.
          - `year` integer, required
          - `era` 'BCE' | 'CE', required: Display BCE (BC) / CE (AD); API values remain BCE / CE. No year zero.
          - `month` integer, required
          - `day` integer, required
          - `calendar` 'proleptic_gregorian' | 'proleptic_julian', required: Explicit choice; applies the selected calendar rules throughout history without a regional adoption switch.
        - `time` string, required: Explicit HH:MM[:SS]; whole seconds only, no leap seconds. Normalized helper output includes seconds.
        - `timezone` string, required: Explicit UT1 or fixed offset UT1+/-HH:MM[:SS], within 14 hours. Local clock minus offset yields UT1, not UTC. No IANA timezone inference. Original offset spelling is preserved.
      - `end` HistoricalDateTime, required: Shared historical input contract; parsing alone does not enable a calculation route. Derived calculation records can include fractional seconds and are not this input type.
        - `date` HistoricalDate, required: Explicit civil date, 1000 BCE (BC)–2500 CE (AD); no year zero. Calendar validity is checked by the server. Available only on documented connected historical operations, with explicit UT1/fixed-offset conventions.
          - `year` integer, required
          - `era` 'BCE' | 'CE', required: Display BCE (BC) / CE (AD); API values remain BCE / CE. No year zero.
          - `month` integer, required
          - `day` integer, required
          - `calendar` 'proleptic_gregorian' | 'proleptic_julian', required: Explicit choice; applies the selected calendar rules throughout history without a regional adoption switch.
        - `time` string, required: Explicit HH:MM[:SS]; whole seconds only, no leap seconds. Normalized helper output includes seconds.
        - `timezone` string, required: Explicit UT1 or fixed offset UT1+/-HH:MM[:SS], within 14 hours. Local clock minus offset yields UT1, not UTC. No IANA timezone inference. Original offset spelling is preserved.
    - `result` object, required: Complete historical calculation adapter result. Times are explicit UT1 date records, never UTC strings; derived times may include fractional seconds and years outside the input range.
    - `metadata` object, required
      - `time_standard` 'UT1', required
      - `historical_accuracy_certified` unknown, required
      - `warnings` string[], required

## Other responses

- `400`: Invalid request, malformed JSON, out-of-range date/location, unknown model, invalid timezone or ambiguous/nonexistent clock-change time. Invalid attempts reaching quota reservation consume one unit.
- `401`: Missing, invalid, revoked API key or unavailable activated key owner. Dashboard cookies do not authenticate calculation routes.
- `403`: Origin not allowed by production CORS policy. Server-to-server requests can omit Origin.
- `429`: Monthly quota exhausted, per-user two-request concurrency reached, or nginx rate/connection admission refused. Retry-After: 2 is sent for application per-user concurrency only, not a promise that monthly quota resets in two seconds.
- `502`: Engine unavailable, unsuccessful internal server response or invalid upstream JSON. No engine internals are exposed.
- `503`: Four-request global calculation pool full (Retry-After: 2), maintenance or upstream service unavailable.
- `504`: Application engine timeout: 15 seconds normally; planetary events, house ingresses, aspect windows, event calendar, eclipse geometry, electional search, and event-rule search use 30 seconds; Nakshatra Timeline plus the explicitly enumerated readiness, robustness, location, uncertainty, and electional-audit family use 60 seconds. Timer includes response-body parsing; an admitted timeout consumes quota.

---

[API](https://skmtc.dev/cosmicephemeris/apis/cosmic-ephemeris-calculation-api.md) · [All operations](https://skmtc.dev/cosmicephemeris/apis/cosmic-ephemeris-calculation-api/llms.txt) · [OpenAPI document](https://skmtc.dev/cosmicephemeris/apis/cosmic-ephemeris-calculation-api/revisions/f041e924cea3?raw)