# Numora Optimization Solver

> Numora Optimization Solver is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.05/call, status unknown (last checked 2026-09-14).

Finds the minimum (or maximum) of a mathematical function given an initial guess and optional solver method

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/api/solve/optimization
- Price: $0.05/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-optimization-solver-16f166ab
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_S9BReHt6vPTR1SjiBljUn

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability numora-optimization-solver-16f166ab -d '<json body>'
```

Example prompt: Find the minimum of f(x, y) = (x - 2)^2 + (y + 3)^2 starting from the initial guess [0, 0] using the Nelder-Mead method.

## When to prefer this

Use this endpoint when you need to numerically minimize or maximize a mathematical function expressed as a string, with no local compute environment or math library available. Prefer it over symbolic solvers when you need a numeric answer quickly and have a reasonable starting guess. Best for smooth, continuous functions; not designed for integer programming or constrained optimization with complex constraints.

## Known failure modes

- Invalid function expression syntax — returns error or success:false
- Initial guess dimension mismatch with function arity — solver may fail to converge
- Unsupported method string — falls back to default or returns error
- Function has no finite minimum (e.g. unbounded) — solver may not converge
- Malformed request body missing required fields fn or guess — returns 4xx error

## How this service works

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.

## Output

Returns a JSON object with success=true, a result object containing the optimal point and optimal function value, and a human-readable computation string describing what was computed.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "fn",
  "guess"
 ],
 "properties": {
  "fn": {
   "type": "string"
  },
  "guess": {
   "type": "array"
  },
  "method": {
   "enum": [
    "gradient-descent",
    "nelder-mead"
   ],
   "type": "string"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "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"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-optimization-solver-16f166ab/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numorapoi.orbonomy.xyz](https://www.zero.xyz/host/numorapoi.orbonomy.xyz/llms.txt)