> ## Documentation Index
> Fetch the complete documentation index at: https://docs.iotools.cloud/llms.txt
> Use this file to discover all available pages before exploring further.

# Inflation Calculator

> Calculate how inflation changes the value of money over time. Enter an amount, a start and end year, and an average annual inflation rate to see the equivalent value, cumulative inflation and lost purchasing power, with a year-by-year breakdown. Works backward in time and models deflation with a negative rate.

[Try Inflation Calculator in your browser →](https://iotools.cloud/tool/inflation-calculator/)



## OpenAPI

````yaml https://api.iotools.cloud/v1/openapi post /v1/tool/inflation-calculator
openapi: 3.1.0
info:
  title: iotools.cloud API
  version: 1.0.0
  description: >-
    Run any iotools.cloud tool over HTTP.


    Authenticate with `Authorization: Bearer iot_live_…`.


    **Only `POST /v1/tool/{slug}` costs credits.** Every GET here — the catalog,
    a tool's schema, your balance — is free. A tool call is charged its own
    weight or your plan's per-call minimum, whichever is larger;
    `x-iotools-credit-cost` on each operation is quoted at the free-tier
    minimum, and `GET /v1/tools/list` returns the exact figure for your key.
    `GET /v1/me/credits` reports what you have left, and `GET /v1/me/usage`
    reports what it went on.


    Failures are RFC 9457 problem documents — branch on `code`.
servers:
  - url: https://api.iotools.cloud
    description: Production
security:
  - bearerAuth: []
tags:
  - name: Catalog
    description: Find a tool and read its contract. Free.
  - name: Converters
    description: >-
      Convert between formats, encodings, and units — Base64, CSV and JSON,
      timestamps, and more. Fast, free, and processed right in your browser.
  - name: Formatters
    description: >-
      Format, beautify, minify, and validate code and data — JSON, HTML, CSS,
      SQL, and regex. Clean up messy input in one click, with nothing to upload.
  - name: Generators
    description: >-
      Generate exactly what you need and on demand — passwords, UUIDs, QR codes,
      hashes, random numbers, and more. Secure, instant, and free.
  - name: Calculators
    description: >-
      Crunch the numbers fast — from everyday math to specialized conversions
      and unit work. Free online calculators that run entirely in your browser.
  - name: Editors
    description: >-
      Edit and transform text, code, and images with quick, focused editors that
      run entirely in your browser — nothing to install, and no sign-up needed.
  - name: Utilities
    description: >-
      Everyday developer and web utilities — DNS and IP lookups, redirect and
      certificate checkers, and other quick diagnostics. Free and
      privacy-friendly.
  - name: Account
    description: Your key's allowance, limits and usage history.
paths:
  /v1/tool/inflation-calculator:
    post:
      tags:
        - Calculators
      summary: Inflation Calculator
      description: >-
        Calculate how inflation changes the value of money over time. Enter an
        amount, a start and end year, and an average annual inflation rate to
        see the equivalent value, cumulative inflation and lost purchasing
        power, with a year-by-year breakdown. Works backward in time and models
        deflation with a negative rate.


        [Try Inflation Calculator in your browser
        →](https://iotools.cloud/tool/inflation-calculator/)
      operationId: run_inflation_calculator
      requestBody:
        required: true
        content:
          application/json:
            schema:
              type: object
              properties:
                amount:
                  type: number
                  description: Amount ($)
                  minimum: 0.01
                startYear:
                  type: number
                  description: Start Year
                  minimum: 1900
                  maximum: 2100
                endYear:
                  type: number
                  description: End Year
                  minimum: 1900
                  maximum: 2100
                inflationRate:
                  type: number
                  description: Annual Inflation Rate (%)
                  minimum: -50
                  maximum: 1000
              required:
                - amount
                - startYear
                - endYear
                - inflationRate
            examples:
              1_000_from_2015_to_2025_at_3:
                summary: $1,000 from 2015 to 2025 at 3%
                value:
                  amount: '1000'
                  startYear: '2015'
                  endYear: '2025'
                  inflationRate: '3'
              look_backward_2_000_from_2025_to_2015_at_3:
                summary: 'Look backward: $2,000 from 2025 to 2015 at 3%'
                value:
                  amount: '2000'
                  startYear: '2025'
                  endYear: '2015'
                  inflationRate: '3'
              short_span_500_from_2020_to_2023_at_6:
                summary: 'Short span: $500 from 2020 to 2023 at 6%'
                value:
                  amount: '500'
                  startYear: '2020'
                  endYear: '2023'
                  inflationRate: '6'
      responses:
        '200':
          description: Tool output
          content:
            application/json:
              examples:
                1_000_from_2015_to_2025_at_3:
                  summary: $1,000 from 2015 to 2025 at 3%
                  value:
                    tool: inflation-calculator
                    tool_version: 1.0.1
                    outputs:
                      summary: |-
                        === Inflation Result ===

                          $1,000.00 in 2015 has the same buying power as $1,343.92 in 2025.

                          Amount:                   $1,000.00
                          Equivalent Value:         $1,343.92
                          Cumulative Inflation:     34.39%
                          Purchasing Power:         0.7441
                          Period:                   10 years forward (2015 → 2025)
                          Average Annual Rate:      3.00%

                        === Formula ===
                          equivalent = amount x (1 + rate/100) ^ years
                          = $1,000.00 x (1 + 3/100) ^ 10
                      table:
                        - year: '2015'
                          equivalent-value: $1,000.00
                          cumulative-inflation: 0.00%
                          purchasing-power: '1.0000'
                        - year: '2016'
                          equivalent-value: $1,030.00
                          cumulative-inflation: 3.00%
                          purchasing-power: '0.9709'
                        - year: '2017'
                          equivalent-value: $1,060.90
                          cumulative-inflation: 6.09%
                          purchasing-power: '0.9426'
                        - year: '2018'
                          equivalent-value: $1,092.73
                          cumulative-inflation: 9.27%
                          purchasing-power: '0.9151'
                        - year: '2019'
                          equivalent-value: $1,125.51
                          cumulative-inflation: 12.55%
                          purchasing-power: '0.8885'
                        - year: '2020'
                          equivalent-value: $1,159.27
                          cumulative-inflation: 15.93%
                          purchasing-power: '0.8626'
                        - year: '2021'
                          equivalent-value: $1,194.05
                          cumulative-inflation: 19.41%
                          purchasing-power: '0.8375'
                        - year: '2022'
                          equivalent-value: $1,229.87
                          cumulative-inflation: 22.99%
                          purchasing-power: '0.8131'
                        - year: '2023'
                          equivalent-value: $1,266.77
                          cumulative-inflation: 26.68%
                          purchasing-power: '0.7894'
                        - year: '2024'
                          equivalent-value: $1,304.77
                          cumulative-inflation: 30.48%
                          purchasing-power: '0.7664'
                        - year: '2025'
                          equivalent-value: $1,343.92
                          cumulative-inflation: 34.39%
                          purchasing-power: '0.7441'
                    credits_used: 3
                    credits_remaining: null
                look_backward_2_000_from_2025_to_2015_at_3:
                  summary: 'Look backward: $2,000 from 2025 to 2015 at 3%'
                  value:
                    tool: inflation-calculator
                    tool_version: 1.0.1
                    outputs:
                      summary: |-
                        === Inflation Result ===

                          $2,000.00 in 2025 has the same buying power as $1,488.19 in 2015.

                          Amount:                   $2,000.00
                          Equivalent Value:         $1,488.19
                          Cumulative Inflation:     -25.59%
                          Purchasing Power:         1.3439
                          Period:                   10 years backward (2025 → 2015)
                          Average Annual Rate:      3.00%

                        === Formula ===
                          equivalent = amount x (1 + rate/100) ^ years
                          = $2,000.00 x (1 + 3/100) ^ -10
                      table:
                        - year: '2025'
                          equivalent-value: $2,000.00
                          cumulative-inflation: 0.00%
                          purchasing-power: '1.0000'
                        - year: '2024'
                          equivalent-value: $1,941.75
                          cumulative-inflation: '-2.91%'
                          purchasing-power: '1.0300'
                        - year: '2023'
                          equivalent-value: $1,885.19
                          cumulative-inflation: '-5.74%'
                          purchasing-power: '1.0609'
                        - year: '2022'
                          equivalent-value: $1,830.28
                          cumulative-inflation: '-8.49%'
                          purchasing-power: '1.0927'
                        - year: '2021'
                          equivalent-value: $1,776.97
                          cumulative-inflation: '-11.15%'
                          purchasing-power: '1.1255'
                        - year: '2020'
                          equivalent-value: $1,725.22
                          cumulative-inflation: '-13.74%'
                          purchasing-power: '1.1593'
                        - year: '2019'
                          equivalent-value: $1,674.97
                          cumulative-inflation: '-16.25%'
                          purchasing-power: '1.1941'
                        - year: '2018'
                          equivalent-value: $1,626.18
                          cumulative-inflation: '-18.69%'
                          purchasing-power: '1.2299'
                        - year: '2017'
                          equivalent-value: $1,578.82
                          cumulative-inflation: '-21.06%'
                          purchasing-power: '1.2668'
                        - year: '2016'
                          equivalent-value: $1,532.83
                          cumulative-inflation: '-23.36%'
                          purchasing-power: '1.3048'
                        - year: '2015'
                          equivalent-value: $1,488.19
                          cumulative-inflation: '-25.59%'
                          purchasing-power: '1.3439'
                    credits_used: 3
                    credits_remaining: null
                short_span_500_from_2020_to_2023_at_6:
                  summary: 'Short span: $500 from 2020 to 2023 at 6%'
                  value:
                    tool: inflation-calculator
                    tool_version: 1.0.1
                    outputs:
                      summary: |-
                        === Inflation Result ===

                          $500.00 in 2020 has the same buying power as $595.51 in 2023.

                          Amount:                   $500.00
                          Equivalent Value:         $595.51
                          Cumulative Inflation:     19.10%
                          Purchasing Power:         0.8396
                          Period:                   3 years forward (2020 → 2023)
                          Average Annual Rate:      6.00%

                        === Formula ===
                          equivalent = amount x (1 + rate/100) ^ years
                          = $500.00 x (1 + 6/100) ^ 3
                      table:
                        - year: '2020'
                          equivalent-value: $500.00
                          cumulative-inflation: 0.00%
                          purchasing-power: '1.0000'
                        - year: '2021'
                          equivalent-value: $530.00
                          cumulative-inflation: 6.00%
                          purchasing-power: '0.9434'
                        - year: '2022'
                          equivalent-value: $561.80
                          cumulative-inflation: 12.36%
                          purchasing-power: '0.8900'
                        - year: '2023'
                          equivalent-value: $595.51
                          cumulative-inflation: 19.10%
                          purchasing-power: '0.8396'
                    credits_used: 3
                    credits_remaining: null
              schema:
                type: object
                required:
                  - tool
                  - tool_version
                  - outputs
                  - credits_used
                  - credits_remaining
                properties:
                  outputs:
                    type: object
                    properties:
                      summary:
                        type: string
                        description: Result
                      table:
                        type: array
                        description: Year-by-Year Breakdown
                        items:
                          type: object
                          properties:
                            year:
                              type: string
                              description: Year
                            equivalent-value:
                              type: string
                              description: Equivalent Value
                            cumulative-inflation:
                              type: string
                              description: Cumulative Inflation
                            purchasing-power:
                              type: string
                              description: Purchasing Power
                        x-iotools-columns:
                          - year
                          - equivalent-value
                          - cumulative-inflation
                          - purchasing-power
                  tool:
                    type: string
                    description: The tool's slug, echoing the {slug} in the request path.
                  tool_version:
                    type: string
                    description: Output-contract version for this tool.
                  credits_used:
                    type: integer
                    description: >-
                      Credits this call consumed, after any settlement refund. 0
                      when metering is disabled.
                  credits_remaining:
                    type:
                      - integer
                      - 'null'
                    description: >-
                      Credits left in the current monthly allowance, or null
                      when metering is disabled.
                  request_id:
                    type: string
                    description: Correlation id, also sent as x-request-id.
        '400':
          $ref: '#/components/responses/ValidationError'
        '401':
          $ref: '#/components/responses/Unauthorized'
        '402':
          $ref: '#/components/responses/InsufficientCredits'
        '403':
          $ref: '#/components/responses/ToolNotAllowed'
        '404':
          $ref: '#/components/responses/ToolNotFound'
        '413':
          $ref: '#/components/responses/PayloadTooLarge'
        '429':
          $ref: '#/components/responses/RateLimited'
        '500':
          $ref: '#/components/responses/ToolFailed'
        '503':
          $ref: '#/components/responses/ToolDisabled'
      security:
        - bearerAuth: []
components:
  responses:
    ValidationError:
      description: Invalid request.
      content:
        application/problem+json:
          schema:
            type: object
            description: >-
              RFC 9457 problem document, served as application/problem+json.
              Branch on `code`; `title` is human prose and may be reworded
              without notice. Some failures add extension members — `fields` on
              validation errors, `retry_after` on 429s,
              `credits_used`/`credits_remaining` on billing-adjacent failures —
              documented on the responses that carry them.
            required:
              - type
              - title
              - status
              - code
            properties:
              type:
                type: string
                format: uri
                description: Stable documentation URI for this failure.
                examples:
                  - https://iotools.cloud/docs/errors/validation_error
              title:
                type: string
                description: Short human-readable summary of the failure.
                examples:
                  - Invalid request
              status:
                type: integer
                description: HTTP status code, matching the response's own status.
              code:
                type: string
                description: >-
                  Stable machine-readable error code — branch on this, not
                  `title`.
                enum:
                  - validation_error
              detail:
                type: string
                description: Human explanation of this occurrence.
              request_id:
                type: string
                description: Correlation id, also sent as x-request-id.
              fields:
                type:
                  - object
                  - string
                additionalProperties:
                  type: string
                description: >-
                  What failed: a map of field name → message. Absent when the
                  body itself is malformed; a single string when the failure
                  isn't tied to one field.
          example:
            type: https://iotools.cloud/docs/errors/validation_error
            title: Invalid request
            status: 400
            code: validation_error
            detail: One or more inputs are invalid — see `fields`.
            request_id: e4042b29-8f1e-4c7a-9b52-6f0d1a3c7e11
            fields:
              inputString: Required
    Unauthorized:
      description: Missing or invalid API key.
      content:
        application/problem+json:
          schema:
            type: object
            description: >-
              RFC 9457 problem document, served as application/problem+json.
              Branch on `code`; `title` is human prose and may be reworded
              without notice. Some failures add extension members — `fields` on
              validation errors, `retry_after` on 429s,
              `credits_used`/`credits_remaining` on billing-adjacent failures —
              documented on the responses that carry them.
            required:
              - type
              - title
              - status
              - code
            properties:
              type:
                type: string
                format: uri
                description: Stable documentation URI for this failure.
                examples:
                  - https://iotools.cloud/docs/errors/invalid_api_key
              title:
                type: string
                description: Short human-readable summary of the failure.
                examples:
                  - Invalid API key
              status:
                type: integer
                description: HTTP status code, matching the response's own status.
              code:
                type: string
                description: >-
                  Stable machine-readable error code — branch on this, not
                  `title`.
                enum:
                  - invalid_api_key
              detail:
                type: string
                description: Human explanation of this occurrence.
              request_id:
                type: string
                description: Correlation id, also sent as x-request-id.
          example:
            type: https://iotools.cloud/docs/errors/invalid_api_key
            title: Invalid API key
            status: 401
            code: invalid_api_key
            detail: 'Provide ''Authorization: Bearer <key>''.'
            request_id: e4042b29-8f1e-4c7a-9b52-6f0d1a3c7e11
    InsufficientCredits:
      description: Monthly credit allowance exhausted.
      content:
        application/problem+json:
          schema:
            type: object
            description: >-
              RFC 9457 problem document, served as application/problem+json.
              Branch on `code`; `title` is human prose and may be reworded
              without notice. Some failures add extension members — `fields` on
              validation errors, `retry_after` on 429s,
              `credits_used`/`credits_remaining` on billing-adjacent failures —
              documented on the responses that carry them.
            required:
              - type
              - title
              - status
              - code
            properties:
              type:
                type: string
                format: uri
                description: Stable documentation URI for this failure.
                examples:
                  - https://iotools.cloud/docs/errors/insufficient_credits
              title:
                type: string
                description: Short human-readable summary of the failure.
                examples:
                  - Insufficient credits
              status:
                type: integer
                description: HTTP status code, matching the response's own status.
              code:
                type: string
                description: >-
                  Stable machine-readable error code — branch on this, not
                  `title`.
                enum:
                  - insufficient_credits
              detail:
                type: string
                description: Human explanation of this occurrence.
              request_id:
                type: string
                description: Correlation id, also sent as x-request-id.
              credits_used:
                type: integer
                description: Always 0 — a refused call charges nothing.
              credits_remaining:
                type: integer
                description: Credits left in the allowance — fewer than this call costs.
          example:
            type: https://iotools.cloud/docs/errors/insufficient_credits
            title: Insufficient credits
            status: 402
            code: insufficient_credits
            detail: This call costs 1 credit and 0 remain in this month's allowance.
            request_id: e4042b29-8f1e-4c7a-9b52-6f0d1a3c7e11
            credits_used: 0
            credits_remaining: 0
    ToolNotAllowed:
      description: Tool exists but has no API surface.
      content:
        application/problem+json:
          schema:
            type: object
            description: >-
              RFC 9457 problem document, served as application/problem+json.
              Branch on `code`; `title` is human prose and may be reworded
              without notice. Some failures add extension members — `fields` on
              validation errors, `retry_after` on 429s,
              `credits_used`/`credits_remaining` on billing-adjacent failures —
              documented on the responses that carry them.
            required:
              - type
              - title
              - status
              - code
            properties:
              type:
                type: string
                format: uri
                description: Stable documentation URI for this failure.
                examples:
                  - https://iotools.cloud/docs/errors/tool_not_allowed
              title:
                type: string
                description: Short human-readable summary of the failure.
                examples:
                  - Tool not available over the API
              status:
                type: integer
                description: HTTP status code, matching the response's own status.
              code:
                type: string
                description: >-
                  Stable machine-readable error code — branch on this, not
                  `title`.
                enum:
                  - tool_not_allowed
              detail:
                type: string
                description: Human explanation of this occurrence.
              request_id:
                type: string
                description: Correlation id, also sent as x-request-id.
          example:
            type: https://iotools.cloud/docs/errors/tool_not_allowed
            title: Tool not available over the API
            status: 403
            code: tool_not_allowed
            detail: >-
              "Background Remover" is available on iotools.cloud but has no API
              endpoint.
            request_id: e4042b29-8f1e-4c7a-9b52-6f0d1a3c7e11
    ToolNotFound:
      description: No such tool.
      content:
        application/problem+json:
          schema:
            type: object
            description: >-
              RFC 9457 problem document, served as application/problem+json.
              Branch on `code`; `title` is human prose and may be reworded
              without notice. Some failures add extension members — `fields` on
              validation errors, `retry_after` on 429s,
              `credits_used`/`credits_remaining` on billing-adjacent failures —
              documented on the responses that carry them.
            required:
              - type
              - title
              - status
              - code
            properties:
              type:
                type: string
                format: uri
                description: Stable documentation URI for this failure.
                examples:
                  - https://iotools.cloud/docs/errors/tool_not_found
              title:
                type: string
                description: Short human-readable summary of the failure.
                examples:
                  - Tool not found
              status:
                type: integer
                description: HTTP status code, matching the response's own status.
              code:
                type: string
                description: >-
                  Stable machine-readable error code — branch on this, not
                  `title`.
                enum:
                  - tool_not_found
              detail:
                type: string
                description: Human explanation of this occurrence.
              request_id:
                type: string
                description: Correlation id, also sent as x-request-id.
          example:
            type: https://iotools.cloud/docs/errors/tool_not_found
            title: Tool not found
            status: 404
            code: tool_not_found
            detail: No tool with that slug. See GET /v1/tools/list.
            request_id: e4042b29-8f1e-4c7a-9b52-6f0d1a3c7e11
    PayloadTooLarge:
      description: Body too large.
      content:
        application/problem+json:
          schema:
            type: object
            description: >-
              RFC 9457 problem document, served as application/problem+json.
              Branch on `code`; `title` is human prose and may be reworded
              without notice. Some failures add extension members — `fields` on
              validation errors, `retry_after` on 429s,
              `credits_used`/`credits_remaining` on billing-adjacent failures —
              documented on the responses that carry them.
            required:
              - type
              - title
              - status
              - code
            properties:
              type:
                type: string
                format: uri
                description: Stable documentation URI for this failure.
                examples:
                  - https://iotools.cloud/docs/errors/payload_too_large
              title:
                type: string
                description: Short human-readable summary of the failure.
                examples:
                  - Payload too large
              status:
                type: integer
                description: HTTP status code, matching the response's own status.
              code:
                type: string
                description: >-
                  Stable machine-readable error code — branch on this, not
                  `title`.
                enum:
                  - payload_too_large
              detail:
                type: string
                description: Human explanation of this occurrence.
              request_id:
                type: string
                description: Correlation id, also sent as x-request-id.
          example:
            type: https://iotools.cloud/docs/errors/payload_too_large
            title: Payload too large
            status: 413
            code: payload_too_large
            detail: Request body exceeds this tool's size limit.
            request_id: e4042b29-8f1e-4c7a-9b52-6f0d1a3c7e11
    RateLimited:
      description: Per-minute rate limit exceeded.
      headers:
        Retry-After:
          description: Seconds to wait before retrying (RFC 9110 delta-seconds).
          schema:
            type: integer
      content:
        application/problem+json:
          schema:
            type: object
            description: >-
              RFC 9457 problem document, served as application/problem+json.
              Branch on `code`; `title` is human prose and may be reworded
              without notice. Some failures add extension members — `fields` on
              validation errors, `retry_after` on 429s,
              `credits_used`/`credits_remaining` on billing-adjacent failures —
              documented on the responses that carry them.
            required:
              - type
              - title
              - status
              - code
            properties:
              type:
                type: string
                format: uri
                description: Stable documentation URI for this failure.
                examples:
                  - https://iotools.cloud/docs/errors/rate_limited
              title:
                type: string
                description: Short human-readable summary of the failure.
                examples:
                  - Rate limit exceeded
              status:
                type: integer
                description: HTTP status code, matching the response's own status.
              code:
                type: string
                description: >-
                  Stable machine-readable error code — branch on this, not
                  `title`.
                enum:
                  - rate_limited
              detail:
                type: string
                description: Human explanation of this occurrence.
              request_id:
                type: string
                description: Correlation id, also sent as x-request-id.
              retry_after:
                type: integer
                description: >-
                  Seconds until the window resets — the same value as the
                  `Retry-After` header.
          example:
            type: https://iotools.cloud/docs/errors/rate_limited
            title: Rate limit exceeded
            status: 429
            code: rate_limited
            detail: Too many requests. Retry in 30s.
            request_id: e4042b29-8f1e-4c7a-9b52-6f0d1a3c7e11
            retry_after: 30
    ToolFailed:
      description: Tool failed to run.
      content:
        application/problem+json:
          schema:
            type: object
            description: >-
              RFC 9457 problem document, served as application/problem+json.
              Branch on `code`; `title` is human prose and may be reworded
              without notice. Some failures add extension members — `fields` on
              validation errors, `retry_after` on 429s,
              `credits_used`/`credits_remaining` on billing-adjacent failures —
              documented on the responses that carry them.
            required:
              - type
              - title
              - status
              - code
            properties:
              type:
                type: string
                format: uri
                description: Stable documentation URI for this failure.
                examples:
                  - https://iotools.cloud/docs/errors/processing_error
                  - https://iotools.cloud/docs/errors/internal_error
              title:
                type: string
                description: Short human-readable summary of the failure.
                examples:
                  - Tool failed to run
                  - Internal error
              status:
                type: integer
                description: HTTP status code, matching the response's own status.
              code:
                type: string
                description: >-
                  Stable machine-readable error code — branch on this, not
                  `title`.
                enum:
                  - processing_error
                  - internal_error
              detail:
                type: string
                description: Human explanation of this occurrence.
              request_id:
                type: string
                description: Correlation id, also sent as x-request-id.
              credits_used:
                type: integer
                description: >-
                  Always 0 on `processing_error` — a failed run is refunded,
                  floor included.
              credits_remaining:
                type: integer
                description: >-
                  Credits left after the refund. Absent when metering is
                  disabled.
          example:
            type: https://iotools.cloud/docs/errors/processing_error
            title: Tool failed to run
            status: 500
            code: processing_error
            detail: The tool failed to run. Please try again.
            request_id: e4042b29-8f1e-4c7a-9b52-6f0d1a3c7e11
            credits_used: 0
    ToolDisabled:
      description: Tool temporarily disabled.
      content:
        application/problem+json:
          schema:
            type: object
            description: >-
              RFC 9457 problem document, served as application/problem+json.
              Branch on `code`; `title` is human prose and may be reworded
              without notice. Some failures add extension members — `fields` on
              validation errors, `retry_after` on 429s,
              `credits_used`/`credits_remaining` on billing-adjacent failures —
              documented on the responses that carry them.
            required:
              - type
              - title
              - status
              - code
            properties:
              type:
                type: string
                format: uri
                description: Stable documentation URI for this failure.
                examples:
                  - https://iotools.cloud/docs/errors/tool_disabled
                  - https://iotools.cloud/docs/errors/api_unconfigured
              title:
                type: string
                description: Short human-readable summary of the failure.
                examples:
                  - Tool temporarily disabled
                  - API not configured
              status:
                type: integer
                description: HTTP status code, matching the response's own status.
              code:
                type: string
                description: >-
                  Stable machine-readable error code — branch on this, not
                  `title`.
                enum:
                  - tool_disabled
                  - api_unconfigured
              detail:
                type: string
                description: Human explanation of this occurrence.
              request_id:
                type: string
                description: Correlation id, also sent as x-request-id.
          example:
            type: https://iotools.cloud/docs/errors/tool_disabled
            title: Tool temporarily disabled
            status: 503
            code: tool_disabled
            detail: This tool is temporarily unavailable. Try again shortly.
            request_id: e4042b29-8f1e-4c7a-9b52-6f0d1a3c7e11
  securitySchemes:
    bearerAuth:
      type: http
      scheme: bearer
      bearerFormat: iot_live_…

````