Update app.py

app.py

@@ -924,25 +924,30 @@ j. **Concluding and Intuitive Explanations**
         response_text = message.content[0].text
         logger.debug("Successfully received response from Anthropic API")
 
-        # Execute SymPy code and append results
-        if sympy_output is not None:
-            has_discrepancy = False
-            SYMPY_CONFIRMED = None
-            revised_solution = None
-            final_verification = None
-
-        if "Error" in sympy_output:
-            verification_text = "SymPy verification failed with error. Manual solution must be verified independently."
-            SYMPY_CONFIRMED = "Inconclusive"
-            response_text = f"{response_text}\n\nSymPy Verification Results:\n```\n{sympy_output}\n```\n\nVerification Analysis:\n{verification_text}"
-        else:
-            resolution_text, has_discrepancy, revised_solution, SYMPY_CONFIRMED = check_and_resolve_discrepancy(response_text, sympy_output)
-            response_text = f"{response_text}\n\nSymPy Verification Results:\n```\n{sympy_output}\n```\n\nVerification Analysis:\n{resolution_text}"
+        # Initialize verification variables
+        sympy_output = None
+        has_discrepancy = False
+        SYMPY_CONFIRMED = None
+        revised_solution = None
+        final_verification = None
 
-        if has_discrepancy and revised_solution:
-            final_verification = perform_final_verification(revised_solution, SYMPY_CONFIRMED)
-            response_text += "\n\nFinal Expert Verification:\n" + final_verification
+        # Execute SymPy code if present
+        sympy_output = extract_and_run_sympy_code_simple(response_text)
 
+        # Only proceed with verification if SymPy output exists
+        if sympy_output is not None:  # Add this check
+            if "Error" in sympy_output:
+                verification_text = "SymPy verification failed with error. Manual solution must be verified independently."
+                SYMPY_CONFIRMED = "Inconclusive"
+                response_text = f"{response_text}\n\nSymPy Verification Results:\n```\n{sympy_output}\n```\n\nVerification Analysis:\n{verification_text}"
+            else:
+                resolution_text, has_discrepancy, revised_solution, SYMPY_CONFIRMED = check_and_resolve_discrepancy(response_text, sympy_output)
+                response_text = f"{response_text}\n\nSymPy Verification Results:\n```\n{sympy_output}\n```\n\nVerification Analysis:\n{resolution_text}"
+
+            if has_discrepancy and revised_solution:
+                final_verification = perform_final_verification(revised_solution, SYMPY_CONFIRMED)
+                response_text += "\n\nFinal Expert Verification:\n" + final_verification
+        
         # add the ChatGPT verification
         if include_chatgpt == "yes":
             response_text = append_chatgpt_verification(