WritersLogic Verifiable AI Agent Hub Float Stability API
The Float Stability API from WritersLogic Verifiable AI Agent Hub — 1 operation(s) for float stability.
The Float Stability API from WritersLogic Verifiable AI Agent Hub — 1 operation(s) for float stability.
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openapi: 3.2.0
info:
title: WritersLogic Verifiable AI Agent Hub Float Stability API
version: 2.0.0
description: Pay-per-call agents settled in USDC on Base via x402. Every response carries a signed provenance envelope.
contact:
name: WritersLogic
url: https://writerslogic.com/agents
email: agents@writerslogic.com
servers:
- url: https://agents.writerslogic.com
tags:
- name: Float Stability
paths:
/api/v1/float-stability:
post:
operationId: float_stability
summary: Floating-point stability of an expression over variable ranges
description: 'Evaluates a real-valued expression in binary64 (or binary32) on a deterministic grid over the caller''s variable ranges and compares each point with a certified arbitrary-precision reference, reporting the decimal digits lost, the worst input, and overflow, underflow or NaN. Recognises and rewrites exp(x)-1, 1-cos(x), log(1+x), sqrt(a)-sqrt(b), a^2-b^2, the quadratic formula, sqrt(x^2+y^2) and log-sum-exp, measures the rewrite on the same grid, and can score a caller-supplied alternative. Samples a finite grid, so it can find instability but not prove its absence; the expression grammar has + - * / ^, the listed functions and no user code.
Price: 0.005 USDC on Base (x402).'
x-x402-price-usdc: '0.005'
x-x402-amount: '5000'
x-payment-info:
protocols:
- x402
price:
mode: fixed
currency: USD
amount: '0.005'
x-audience: developer
x-sample-url: https://agents.writerslogic.com/api/v1/samples/float-stability
security:
- x402: []
- apiKey: []
requestBody:
required: true
content:
application/json:
schema:
type: object
additionalProperties: false
required:
- expression
- variables
properties:
expression:
type: string
maxLength: 500
description: Expression in the declared variables, e.g. 'exp(x) - 1'. Operators + - * / ^ (or **); functions sqrt exp expm1 log log1p log2 log10 sin cos tan atan sinh cosh tanh abs pow hypot min max; constants pi, e.
variables:
type: array
minItems: 1
maxItems: 6
items:
type: object
required:
- name
- min
- max
properties:
name:
type: string
pattern: ^[A-Za-z_][A-Za-z0-9_]*$
maxLength: 32
min:
type: number
description: Smallest value the variable takes (finite binary64).
max:
type: number
description: Largest value.
scale:
type: string
enum:
- linear
- log
description: 'Grid spacing. Default: log when 0 < min and max/min >= 1000, else linear (with probes near 0 when the range contains it).'
description: Range of every free variable.
precision:
type: string
enum:
- binary64
- binary32
description: Arithmetic of the code under test. Default binary64.
alternative:
type: string
maxLength: 500
description: Optional algebraically equal expression to score on the same grid.
maxDigitsLost:
type: integer
minimum: 0
maximum: 16
description: Fail above this many lost digits. Default 4.
example:
expression: exp(x) - 1
variables:
- name: x
min: 1.0e-12
max: 1
responses:
'200':
description: Paid result with provenance
content:
application/json:
schema:
type: object
properties:
data:
type: object
properties:
status:
type: string
enum:
- pass
- fail
- unknown
- unsupported
description: 'pass: every rule held. fail: a rule was violated (see witnesses). unknown: the input lacks the evidence to decide. unsupported: outside what this engine covers. Missing evidence is never a pass.'
precision:
type: string
expression:
type: string
description: Canonical form of the parsed expression.
samples:
type: object
description: total, certified and skipped counts (domain error, uncertified reference, out of binary range).
worstDigitsLost:
type: number
worst:
type: array
items:
type: object
properties:
inputs:
type: object
computed:
type: string
reference:
type: string
digitsLost:
type: number
kind:
type: string
patterns:
type: array
items:
type: object
properties:
pattern:
type: string
original:
type: string
rewrite:
type: string
suggestedExpression:
type: string
suggestedWorstDigitsLost:
type: number
alternativeWorstDigitsLost:
type: number
witnesses:
type: array
items:
type: object
properties:
ruleId:
type: string
detail:
type: string
path:
type: string
description: JSON pointer or dotted path into the input.
offset:
type: integer
index:
type: integer
expected:
description: What the rule required.
actual:
description: What the input had.
versions:
type: object
description: Every semantic dependency of this answer (engine, tables and their as-of dates, tokenizer, calendar, rounding profile).
limits:
type: array
items:
type: string
deterministic:
type: boolean
description: 'Always true: pure code, no model.'
_provenance:
type: object
description: C2PA-aligned manifest and W3C VC 2.0 (eddsa-jcs-2022) issued by the hub DID; verify at POST /api/v1/verify-provenance
required:
- data
- _provenance
'400':
description: Invalid request (no payment consumed)
content:
application/json:
schema:
type: object
properties:
error:
type: string
code:
type: string
'401':
description: Invalid X-API-KEY
content:
application/json:
schema:
type: object
properties:
error:
type: string
code:
type: string
'402':
description: Payment required or invalid
content:
application/json:
schema:
type: object
description: x402 v2 PaymentRequired (also base64 in the PAYMENT-REQUIRED header)
properties:
x402Version:
type: integer
error:
type: string
code:
type: string
resource:
type: object
accepts:
type: array
items:
type: object
extensions:
type: object
'502':
description: Upstream failure; the payment is released or not settled
content:
application/json:
schema:
type: object
properties:
error:
type: string
code:
type: string
tags:
- Float Stability
components:
securitySchemes:
x402:
type: apiKey
in: header
name: PAYMENT-SIGNATURE
description: x402 v2 payment payload (base64) sent after a 402 challenge
apiKey:
type: apiKey
in: header
name: X-API-KEY