perf: optimize startup and reduce example caching

app.py

@@ -36,7 +36,7 @@ def format_prompt(function: str) -> str:
 Function: {function}
 The derivative of this function is:"""
 
-def generate_derivative(function: str, max_length: int = 200) -> str:
+def generate_derivative(function: str, max_length: int = 100) -> str:
     """Generate derivative for a given function"""
     # Format the prompt
     prompt = format_prompt(function)
@@ -51,7 +51,7 @@ def generate_derivative(function: str, max_length: int = 200) -> str:
             max_length=max_length,
             num_return_sequences=1,
             temperature=0.1,
-            do_sample=True,
+            do_sample=False,  # Deterministic generation
             pad_token_id=tokenizer.eos_token_id
         )
     
@@ -98,22 +98,17 @@ with gr.Blocks(title="Mathematics Derivative Solver") as demo:
             lines=6
         )
     
-    # Example functions
+    # Example functions (reduced)
     gr.Examples(
         examples=[
             ["x^2"],
             ["\\sin{\\left(x\\right)}"],
-            ["e^x"],
-            ["\\frac{1}{x}"],
-            ["x^3 + 2x"],
-            ["\\cos{\\left(x^2\\right)}"],
-            ["\\log{\\left(x\\right)}"],
-            ["x e^{-x}"]
+            ["e^x"]
         ],
         inputs=function_input,
         outputs=output,
         fn=solve_derivative,
-        cache_examples=True,
+        cache_examples=False  # Disable caching
     )
     
     # Connect the interface

requirements.txt

@@ -2,5 +2,5 @@ torch>=2.0.0
 transformers>=4.30.0
 accelerate>=0.20.0
 peft==0.5.0
-gradio>=4.8.0
+gradio==4.44.1
 numpy>=1.21.0