{"uid":"cap_H868hUunTTVgG19XZZIti","slug":"delx-sigmoid-0eba1cde","name":"Delx Sigmoid","description":"Sigmoid 1/(1+e^{−x}) back to probability space. Call when mapping model scores into probabilities without ML frameworks. Returns probability from score as deterministic JSON for $0.001 USDC via x402 on Base. First-party local math only—no RPC, live market feed, API keys, storage, or mediagen. Advisory only; the caller owns capital, risk, and production controls.","url":"https://api.delx.ai/api/v1/x402/sigmoid","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"x":{"type":"number","description":"Input field: x."}}},"responseSchema":{"type":"json","example":{"x":0.5,"prob":0.6224593312018546,"schema":"delx/util-sigmoid/v1"}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.001","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.001/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.001","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.001","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_dZsU6DEgDu1o3nDipUKg7","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.001","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the sigmoid (logistic) function of a numeric input, returning a probability value between 0 and 1.","exampleAgentPrompt":"Can you apply the sigmoid function to the value 2.7 and tell me what probability it maps to?","exampleUseCases":[{"title":"Logit to probability conversion","prompt":"I have a raw logit score of -1.5 from my model output — can you run sigmoid on it to get the probability?"},{"title":"Neural network activation step","prompt":"Apply the sigmoid activation function to x = 4.2 so I can use the result as the final layer output of my classifier."},{"title":"Normalizing a custom score","prompt":"I have a custom relevance score of 0.0 and I want to map it to a 0–1 probability using the sigmoid function — what does sigmoid(0) give me?"}],"resultDescription":"Returns a JSON object containing the original input value x, the computed sigmoid probability (a float between 0 and 1), and a schema identifier string 'delx/util-sigmoid/v1'.","failureModes":["Missing or non-numeric x field returns a validation error","Extremely large positive or negative x values may return probability near 1.0 or 0.0 due to floating-point limits","Passing a non-number string as x causes a type error","Network or payment failures result in 402 or 5xx responses"],"whenToPreferThis":"Choose this endpoint when an agent needs a reliable, metered sigmoid computation without running local math libraries — especially useful in sandboxed or stateless agent environments where importing numpy or scipy is unavailable, or when a governed, auditable math call is required for compliance or reproducibility.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T01:19:30.881Z","isFirstParty":false}