{"uid":"cap_jhVLcbp1f0aFD7DWUKoju","slug":"numora-optimization-solver-04a674df","name":"Numora Optimization Solver","description":"100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.","url":"https://numormo.vercel.app/api/solve/optimization","method":"POST","headers":{},"bodySchema":{"type":"object","required":["fn","guess"],"properties":{"fn":{"type":"string"},"guess":{"type":"array"},"method":{"enum":["gradient-descent","nelder-mead"],"type":"string"}}},"responseSchema":{"type":"object","required":["success","result","computation"],"properties":{"result":{"type":"object","description":"Computation result varies by endpoint"},"success":{"type":"boolean","description":"Always true on success"},"computation":{"type":"string","description":"Human-readable description of what was computed"}}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.1","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"registry","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":"$0.1/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_u54qo2LLGYKq4aLyUlA-V","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":null,"unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Solves numerical optimization problems (minimize/maximize a function) given a mathematical expression and an initial guess, using gradient descent or Nelder-Mead methods","exampleAgentPrompt":"Minimize the function 'x^2 + 2*y^2 - 4*x + 3' starting from the initial guess [0, 0] using gradient-descent — give me the optimal point and minimum value.","exampleUseCases":[{"title":"Minimizing a machine learning loss function","prompt":"I have a simple loss function '(w - 3)^2 + (b + 1)^2' and want to find the optimal weights and bias — start the search from [0, 0] using gradient-descent."},{"title":"Portfolio risk minimization","prompt":"Minimize the portfolio variance function '0.04*x^2 + 0.09*y^2 + 0.03*x*y' starting from the initial guess [0.5, 0.5] using Nelder-Mead to find the optimal asset allocation."},{"title":"Engineering parameter tuning","prompt":"Find the values of x and y that minimize the function '(x-2)^2 + (y+3)^2 + x*y' starting from [1, -1] — use Nelder-Mead and give me the optimal parameter values."}],"resultDescription":"Returns a JSON object with a boolean 'success' field, a 'result' object containing the optimal input point and corresponding minimum function value, and a 'computation' string describing what was computed in human-readable form.","failureModes":["Invalid or unparseable function expression returns an error","Initial guess vector dimension mismatch with the function's variables","Non-convergence if the function is highly non-convex or the initial guess is poor","Unsupported mathematical syntax in the function string","Incorrect method enum value causes a validation error"],"whenToPreferThis":"Use this endpoint when you need pure numerical optimization of a mathematical function without external data dependencies — ideal for minimizing cost/loss functions, finding optimal parameters, or solving engineering design problems. Prefer gradient-descent for smooth, differentiable functions and Nelder-Mead for non-smooth or noisy functions. Not suitable for symbolic optimization, constraint-based optimization, or integer programming.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T19:02:46.790Z","isFirstParty":false}