add some docs about errors in the README

Author: SBrandeis

packages/inference/README.md

@@ -120,6 +120,108 @@ await textGeneration({
 
 This will enable tree-shaking by your bundler.
 
+### Error handling
+
+The inference package provides specific error types to help you handle different error scenarios effectively.
+
+#### Error Types
+
+The package defines several error types that extend the base `Error` class:
+
+- `HfInferenceError`: Base error class for all Hugging Face Inference errors
+- `HfInferenceInputError`: Thrown when there are issues with input parameters
+- `HfInferenceProviderApiError`: Thrown when there are API-level errors from providers
+- `HfInferenceHubApiError`: Thrown when there are API-levels errors from the Hugging Face Hub
+- `HfInferenceProviderOutputError`: Thrown when there are issues with providers' API responses format
+
+### Example Usage
+
+```typescript
+import { InferenceClient } from "@huggingface/inference";
+import {
+  HfInferenceError,
+  HfInferenceProviderApiError,
+  HfInferenceProviderOutputError,
+  HfInferenceHubApiError,
+} from "@huggingface/inference";
+
+const hf = new HfInference();
+
+try {
+  const result = await hf.textGeneration({
+    model: "gpt2",
+    inputs: "Hello, I'm a language model",
+  });
+} catch (error) {
+  if (error instanceof HfInferenceProviderApiError) {
+    // Handle API errors (e.g., rate limits, authentication issues)
+    console.error("Provider API Error:", error.message);
+    console.error("HTTP Request details:", error.request);
+    console.error("HTTP Response details:", error.response);
+  if (error instanceof HfInferenceHubApiError) {
+    // Handle API errors (e.g., rate limits, authentication issues)
+    console.error("Hub API Error:", error.message);
+    console.error("HTTP Request details:", error.request);
+    console.error("HTTP Response details:", error.response);
+  } else if (error instanceof HfInferenceProviderOutputError) {
+    // Handle malformed responses from providers
+    console.error("Provider Output Error:", error.message);
+  } else if (error instanceof HfInferenceInputError) {
+    // Handle invalid input parameters
+    console.error("Input Error:", error.message);
+  } else {
+    // Handle unexpected errors
+    console.error("Unexpected error:", error);
+  }
+}
+
+/// Catch all errors from @huggingface/inference
+try {
+  const result = await hf.textGeneration({
+    model: "gpt2",
+    inputs: "Hello, I'm a language model",
+  });
+} catch (error) {
+  if (error instanceof HfInferenceError) {
+    // Handle errors from @huggingface/inference
+    console.error("Error from InferenceClient:", error);
+  } else {
+    // Handle unexpected errors
+    console.error("Unexpected error:", error);
+  }
+}
+```
+
+### Error Details
+
+#### HfInferenceProviderApiError
+
+This error occurs when there are issues with the API request when performing inference at the selected provider.
+
+It has several properties:
+- `message`: A descriptive error message
+- `request`: Details about the failed request (URL, method, headers)
+- `response`: Response details including status code and body
+
+#### HfInferenceHubApiError
+
+This error occurs when there are issues with the API request when requesting the Hugging Face Hub API.
+
+It has several properties:
+- `message`: A descriptive error message
+- `request`: Details about the failed request (URL, method, headers)
+- `response`: Response details including status code and body
+
+
+#### HfInferenceProviderOutputError
+
+This error occurs when a provider returns a response in an unexpected format.
+
+#### HfInferenceInputError
+
+This error occurs when input parameters are invalid or missing. The error message describes what's wrong with the input.
+
+
 ### Natural Language Processing
 
 #### Text Generation