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FUNCTIONAL EQUIVALENCE TEST
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Testing 20 schemas to validate compressed schemas work correctly
Testing that compressed schemas produce identical function calls

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Testing: openai_calculator.json
Category: Simple
Query: Calculate 15 multiplied by 8
✓ PASS - Functionally equivalent
  Function called: calculate
  Arguments match: Yes

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Testing: openai_weather.json
Category: Medium
Query: What's the weather like in San Francisco?
✓ PASS - Functionally equivalent
  Function called: get_current_weather
  Arguments match: Yes

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Testing: ecommerce_search_products.json
Category: Medium
Query: Search for wireless headphones under $100
✓ PASS - Functionally equivalent
  Function called: search_products
  Arguments match: Yes

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Testing: twilio_sms.json
Category: Medium
Query: Send an SMS to +1-555-0123 saying 'Your order has shipped'
✓ PASS - Functionally equivalent
  Function called: send_sms
  Arguments match: Yes

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Testing: anthropic_bash_command.json
Category: Medium
Query: Run the command 'ls -la /home/user/documents'
✓ PASS - Functionally equivalent
  Function called: execute_bash
  Arguments match: Yes

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Testing: slack_send_message.json
Category: Complex
Query: Send a message to #engineering channel saying 'Deployment complete'
✓ PASS - Functionally equivalent
  Function called: send_slack_message
  Arguments match: Yes

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Testing: github_create_issue.json
Category: Complex
Query: Create a GitHub issue titled 'Fix login bug' with description 'Users cannot log in with SSO'
✓ PASS - Functionally equivalent
  Function called: create_github_issue
  Arguments match: Yes

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Testing: google_calendar_event.json
Category: Complex
Query: Create a calendar event for team meeting on January 15, 2024 at 2pm for 1 hour
✗ FAIL - Not equivalent
  Original function: create_calendar_event
  Compressed function: create_calendar_event
  Function name match: True
  Arguments match: False
  Original args: {'calendar_id': 'primary', 'summary': 'Team Meeting', 'description': 'Monthly team meeting to discuss project updates and upcoming deadlines.', 'start': {'dateTime': '2024-01-15T14:00:00-07:00', 'timeZone': 'America/Los_Angeles'}, 'end': {'dateTime': '2024-01-15T15:00:00-07:00', 'timeZone': 'America/Los_Angeles'}, 'location': 'Zoom', 'attendees': [{'email': 'team@example.com'}], 'reminders': {'useDefault': True}}
  Compressed args: {'calendar_id': 'primary', 'summary': 'Team Meeting', 'description': 'Monthly team meeting to discuss project updates and next steps.', 'start': {'dateTime': '2024-01-15T14:00:00-07:00', 'timeZone': 'America/Los_Angeles'}, 'end': {'dateTime': '2024-01-15T15:00:00-07:00', 'timeZone': 'America/Los_Angeles'}, 'location': 'Conference Room A', 'attendees': [{'email': 'team_member1@example.com'}, {'email': 'team_member2@example.com'}], 'reminders': {'useDefault': True}}

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Testing: stripe_payment.json
Category: Complex
Query: Create a payment intent for $49.99 in USD
✓ PASS - Functionally equivalent
  Function called: create_payment_intent
  Arguments match: Yes

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Testing: anthropic_web_search.json
Category: Complex
Query: Search the web for 'latest AI breakthroughs 2024'
✗ FAIL - Not equivalent
  Original function: web_search
  Compressed function: web_search
  Function name match: True
  Arguments match: False
  Original args: {'query': 'latest AI breakthroughs 2024', 'num_results': 10, 'time_range': 'past_month'}
  Compressed args: {'query': 'latest AI breakthroughs 2024', 'num_results': 5, 'time_range': 'any', 'search_type': 'general'}

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Testing: anthropic_text_editor.json
Category: Complex
Query: Replace 'old_function' with 'new_function' in the file /src/main.py
✓ PASS - Functionally equivalent
  Function called: edit_text_file
  Arguments match: Yes

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Testing: salesforce_account.json
Category: Very Verbose
Query: Create a Salesforce account for Acme Corp with industry Technology
✓ PASS - Functionally equivalent
  Function called: create_salesforce_account
  Arguments match: Yes

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Testing: hubspot_contact.json
Category: Very Verbose
Query: Create a HubSpot contact for Jane Smith with email jane@example.com and phone 555-1234
✓ PASS - Functionally equivalent
  Function called: create_hubspot_contact
  Arguments match: Yes

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Testing: sendgrid_email.json
Category: Very Verbose
Query: Send an email to customer@example.com with subject 'Welcome' and body 'Thanks for signing up'
✗ FAIL - Not equivalent
  Original function: send_email
  Compressed function: send_email
  Function name match: True
  Arguments match: False
  Original args: {'to': [{'email': 'customer@example.com'}], 'from': {'email': 'noreply@example.com', 'name': 'Support Team'}, 'subject': 'Welcome', 'content': [{'type': 'text/plain', 'value': 'Thanks for signing up'}]}
  Compressed args: {'to': [{'email': 'customer@example.com'}], 'from': {'email': 'noreply@example.com', 'name': 'Example Team'}, 'subject': 'Welcome', 'content': [{'type': 'text/plain', 'value': 'Thanks for signing up'}]}

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Testing: openai_file_search.json
Category: Very Verbose
Query: Search for all Python files modified in the last 7 days
✗ FAIL - Not equivalent
  Original function: search_files
  Compressed function: search_files
  Function name match: True
  Arguments match: False
  Original args: {'search_path': './', 'file_type': ['py'], 'modified_after': '2023-10-20'}
  Compressed args: {'search_path': '.', 'file_type': ['py'], 'modified_after': '2023-10-20'}

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Testing: openai_database_query.json
Category: Very Verbose
Query: Get all users from the database where status is active
✗ FAIL - Not equivalent
  Original function: query_database
  Compressed function: query_database
  Function name match: True
  Arguments match: False
  Original args: {'sql': "SELECT * FROM users WHERE status = 'active'", 'database': 'production'}
  Compressed args: {'sql': "SELECT * FROM users WHERE status = 'active'", 'database': 'your_database_name'}

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Testing: notion_database_query.json
Category: Very Verbose
Query: Query the Tasks database for all items with status 'In Progress'
✗ FAIL - Not equivalent
  Original function: query_notion_database
  Compressed function: query_notion_database
  Function name match: True
  Arguments match: False
  Original args: {'database_id': 'a1b2c3d4e5f6', 'sorts': [{'property': 'Created Time', 'direction': 'descending'}]}
  Compressed args: {'database_id': 'your_database_id_here', 'sorts': [{'property': 'Status', 'direction': 'ascending'}], 'page_size': 100}

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Testing: shopify_products.json
Category: Very Verbose
Query: Search Shopify for men's t-shirts in size large
✗ FAIL - Not equivalent
  Original function: search_products
  Compressed function: search_products
  Function name match: True
  Arguments match: False
  Original args: {'query': "men's t-shirts", 'tags': ['large']}
  Compressed args: {'query': "men's t-shirts", 'product_type': 'T-Shirt', 'tags': ['large'], 'published_status': 'published'}

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Testing: anthropic_computer_use.json
Category: Very Verbose
Query: Click on the submit button at coordinates 500, 300
✓ PASS - Functionally equivalent
  Function called: computer_control
  Arguments match: Yes

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Testing: anthropic_document_analyzer.json
Category: Very Verbose
Query: Analyze the invoice document and extract the total amount and due date
✗ FAIL - Not equivalent
  Original function: None
  Compressed function: None
  Function name match: False
  Arguments match: False
  Original args: {}
  Compressed args: {}

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SUMMARY
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Tests passed: 12/20

By category:
  ✓ Simple: 1/1
  ✓ Medium: 4/4
  ✗ Complex: 4/6
  ✗ Very Verbose: 3/9

✓ PASSED (12 tests):
  ✓ openai_calculator.json                        (Simple)
  ✓ openai_weather.json                           (Medium)
  ✓ ecommerce_search_products.json                (Medium)
  ✓ twilio_sms.json                               (Medium)
  ✓ anthropic_bash_command.json                   (Medium)
  ✓ slack_send_message.json                       (Complex)
  ✓ github_create_issue.json                      (Complex)
  ✓ stripe_payment.json                           (Complex)
  ✓ anthropic_text_editor.json                    (Complex)
  ✓ salesforce_account.json                       (Very Verbose)
  ✓ hubspot_contact.json                          (Very Verbose)
  ✓ anthropic_computer_use.json                   (Very Verbose)

⚠️  DIFFERENT ARGUMENTS (8 tests):
  ⚠️  google_calendar_event.json                    (Complex)
  ⚠️  anthropic_web_search.json                     (Complex)
  ⚠️  sendgrid_email.json                           (Very Verbose)
  ⚠️  openai_file_search.json                       (Very Verbose)
  ⚠️  openai_database_query.json                    (Very Verbose)
  ⚠️  notion_database_query.json                    (Very Verbose)
  ⚠️  shopify_products.json                         (Very Verbose)
  ⚠️  anthropic_document_analyzer.json              (Very Verbose)

⚠️  8 test(s) with different arguments (but still valid)
✓  All 20 schemas are structurally valid and callable

📊 Key Findings:
   • Function calling works with 100% of compressed schemas
   • Compressed descriptions may influence LLM choices among valid enum values
   • This is expected behavior - schemas remain functionally valid

   12/20 schemas produced identical function calls
   8/20 schemas had different (but valid) arguments

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