Server definition
- Hash
- sha256:3a2d37cc105fc363f6b17af1d131c77e508b3dc9bb13c94e2d626d7806f68133
- What it is
- What a remote MCP server returned when asked what it offers: 1 tools
The blob, as servednamed by its sha256
{
"instructions": null,
"tools": [
{
"description": "Actually draws random samples from real distributions and counts outcomes, instead of a model guess about a probability. Declare named random variables (uniform, normal, bernoulli, binomial, poisson, exponential, discrete), an \"event\" boolean expression over those variable names (e.g. \"a > 0.5 && b == 1\"), and an optional \"condition\" expression to estimate a conditional probability P(event | condition) by rejection sampling. Event/condition expressions are parsed and evaluated by a small built-in interpreter (arithmetic, comparisons, &&/||/!, min/max/abs) — no arbitrary code execution. Returns the estimated probability, a 95% confidence interval, and the seed used (pass the same seed back to reproduce the exact result). Costs $0.03 USDC (Base) per call.",
"inputSchema": {
"$schema": "https://json-schema.org/draft/2020-12/schema",
"properties": {
"condition": {
"description": "Optional boolean expression; if given, the result is P(event | condition), estimated only over trials where this is true.",
"maxLength": 500,
"type": "string"
},
"event": {
"description": "Boolean expression over the variable names, evaluated each trial (e.g. \"a + b > 10\", \"x == 1 && y < 0.2\").",
"maxLength": 500,
"type": "string"
},
"seed": {
"description": "Optional PRNG seed for a reproducible run. If omitted, a random seed is generated and returned in the output.",
"maximum": 9007199254740991,
"minimum": -9007199254740991,
"type": "integer"
},
"trials": {
"description": "Number of trials to run. Default 10000, between 100 and 100000.",
"maximum": 100000,
"minimum": 100,
"type": "integer"
},
"variables": {
"description": "Random variables to sample each trial. Max 10.",
"items": {
"properties": {
"distribution": {
"oneOf": [
{
"description": "Continuous, equally likely between min and max.",
"properties": {
"max": {
"type": "number"
},
"min": {
"type": "number"
},
"type": {
"const": "uniform",
"type": "string"
}
},
"required": [
"type",
"min",
"max"
],
"type": "object"
},
{
"description": "Gaussian/bell curve, via Box-Muller sampling.",
"properties": {
"mean": {
"type": "number"
},
"stdDev": {
"minimum": 0,
"type": "number"
},
"type": {
"const": "normal",
"type": "string"
}
},
"required": [
"type",
"mean",
"stdDev"
],
"type": "object"
},
{
"description": "Single 0/1 trial with success probability p.",
"properties": {
"p": {
"maximum": 1,
"minimum": 0,
"type": "number"
},
"type": {
"const": "bernoulli",
"type": "string"
}
},
"required": [
"type",
"p"
],
"type": "object"
},
{
"description": "Count of successes in n independent Bernoulli(p) trials. n capped at 1000.",
"properties": {
"n": {
"exclusiveMinimum": 0,
"maximum": 1000,
"type": "integer"
},
"p": {
"maximum": 1,
"minimum": 0,
"type": "number"
},
"type": {
"const": "binomial",
"type": "string"
}
},
"required": [
"type",
"n",
"p"
],
"type": "object"
},
{
"description": "Event count with mean rate lambda, via Knuth's algorithm. lambda capped at 1000.",
"properties": {
"lambda": {
"exclusiveMinimum": 0,
"maximum": 1000,
"type": "number"
},
"type": {
"const": "poisson",
"type": "string"
}
},
"required": [
"type",
"lambda"
],
"type": "object"
},
{
"description": "Time between events at the given rate.",
"properties": {
"rate": {
"exclusiveMinimum": 0,
"type": "number"
},
"type": {
"const": "exponential",
"type": "string"
}
},
"required": [
"type",
"rate"
],
"type": "object"
},
{
"description": "Weighted pick from a custom list of outcomes (e.g. a die). Up to 20 outcomes.",
"properties": {
"type": {
"const": "discrete",
"type": "string"
},
"values": {
"items": {
"type": "number"
},
"maxItems": 20,
"minItems": 1,
"type": "array"
},
"weights": {
"items": {
"minimum": 0,
"type": "number"
},
"maxItems": 20,
"minItems": 1,
"type": "array"
}
},
"required": [
"type",
"values",
"weights"
],
"type": "object"
}
]
},
"name": {
"description": "Variable name, referenced by \"event\"/\"condition\" (e.g. \"a\", \"wait_time\").",
"pattern": "^[a-zA-Z_][a-zA-Z0-9_]*$",
"type": "string"
}
},
"required": [
"name",
"distribution"
],
"type": "object"
},
"maxItems": 10,
"minItems": 1,
"type": "array"
}
},
"required": [
"variables",
"event"
],
"type": "object"
},
"name": "simulate_monte_carlo",
"outputSchema": {
"$schema": "https://json-schema.org/draft/2020-12/schema",
"additionalProperties": false,
"properties": {
"condition_successes": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"description": "Number of trials where condition was true. null if no condition was given."
},
"confidence_interval_95": {
"anyOf": [
{
"prefixItems": [
{
"type": "number"
},
{
"type": "number"
}
],
"type": "array"
},
{
"type": "null"
}
],
"description": "Approximate 95% confidence interval [low, high] via the normal approximation."
},
"error": {
"anyOf": [
{
"type": "string"
},
{
"type": "null"
}
],
"description": "Error or warning message. null if none."
},
"event_successes": {
"description": "Number of trials (or condition-matching trials) where event was true.",
"type": "number"
},
"probability": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"description": "Estimated P(event) or P(event | condition). null if invalid, or if condition matched zero trials."
},
"seed_used": {
"description": "The PRNG seed used — pass it back as `seed` to reproduce this exact result.",
"type": "number"
},
"standard_error": {
"anyOf": [
{
"type": "number"
},
{
"type": "null"
}
],
"description": "Estimated standard error of the probability estimate."
},
"trials_run": {
"description": "Number of trials actually simulated (0 if valid is false).",
"type": "number"
},
"valid": {
"description": "false if the input (variables, expressions, limits) was invalid.",
"type": "boolean"
}
},
"required": [
"valid",
"error",
"trials_run",
"seed_used",
"probability",
"event_successes",
"condition_successes",
"standard_error",
"confidence_interval_95"
],
"type": "object"
}
}
]
}Verify it yourself
curl -s https://api.teppi.xyz/v1/evidence/sha256:3a2d37cc105fc363f6b17af1d131c77e508b3dc9bb13c94e2d626d7806f68133 | sha256sum