# Inference Latency & Token Tradeoff Calculator AI Agent Connect

> Model the relationship between inference latency, token count, and system throughput.

## Overview
- **Category:** developer-tools
- **Price:** Free
- **Endpoint:** https://edge.vinkius.com/vk_preview_5CWOuc4BCXfaA8LyFnbZ9i7aouvSsN4UnziC8onN/ai-agent-connect
- **Tags:** latency, throughput, inference, sla, tokens

## Description

This MCP server provides deterministic tools to model the relationship between inference latency, token count, and system throughput. It helps developers determine the optimal output length relative to specific latency Service Level Agreements (SLAs). Use `calculate_inference_metrics` to predict TTFT and TTLT, `optimize_output_length` to find the maximum tokens allowed within a latency budget, `simulate_batching_and_queues` to model tail latency (p50, p95, p99), and `validate_sla_compliance` to ensure configurations meet business requirements.

## Tools

### calculate_inference_metrics
Determine predicted TTFT, TTLT, and total latency for a request configuration

### optimize_output_length
Find the maximum number of tokens that can be generated within a latency target

### simulate_batching_and_queues
Predict how batching and request arrival patterns affect latency distributions

### validate_sla_compliance
Check if a configuration meets business requirements for speed and efficiency

## Prompt Examples

**Prompt:** 
```
Calculate the latency for 500 input tokens and 100 output tokens with a generation speed of 50 tokens/sec and prefill speed of 200 tokens/sec.
```

**Response:** 
```
The predicted TTFT is 2500ms, the TTLT is 4500ms, and the total latency is 4500ms (assuming 0ms post-processing).
```

**Prompt:** 
```
What is the maximum output length for a 2000ms latency target if TTFT is 500ms and generation speed is 50 tokens/sec?
```

**Response:** 
```
The optimal output length is 75 tokens.
```

**Prompt:** 
```
Check if a 1500ms latency meets a 2000ms SLA with a minimum throughput of 10 tokens/sec.
```

**Response:** 
```
The configuration is compliant.
```

## Frequently Asked Questions

**How do I calculate the maximum tokens I can generate within my SLA?**
You can use the `optimize_output_length` tool. It calculates the remaining latency budget after the prefill phase and multiplies it by the generation speed to find the optimal token count.

**What is the difference between TTFT and TTLT?**
TTFT (Time to First Token) is the latency before the first token appears, driven by prefill speed. TTLT (Time to Last Token) is the total end-to-end duration including the generation phase.

**Can I model the impact of multiple concurrent requests?**
Yes, use the `simulate_batching_and_queues` tool to predict how batch size and request arrival patterns affect latency percentiles like p95 and p99.