diff --git a/tool_evaluation/evaluation.xml b/tool_evaluation/evaluation.xml index 416c77c..3df523b 100644 --- a/tool_evaluation/evaluation.xml +++ b/tool_evaluation/evaluation.xml @@ -1,116 +1,34 @@ - - How many days are between March 15, 2024 and September 22, 2025? Include both start and end dates in your count. - 557 + Calculate the compound interest on $10,000 invested at 5% annual interest rate, compounded monthly for 3 years. What is the final amount in dollars (rounded to 2 decimal places)? + 11614.72 - - If a meeting starts at 11:45 AM and lasts for 2 hours and 37 minutes, what time does it end? Express in 24-hour format as HH:MM. - 14:22 + A projectile is launched at a 45-degree angle with an initial velocity of 50 m/s. Calculate the total distance (in meters) it has traveled from the launch point after 2 seconds, assuming g=9.8 m/s². Round to 2 decimal places. + 87.25 - - - What is 2^100 mod 7? Give the exact integer result. + A sphere has a volume of 500 cubic meters. Calculate its surface area in square meters. Round to 2 decimal places. + 304.65 + + + Calculate the population standard deviation of this dataset: [12, 15, 18, 22, 25, 30, 35]. Round to 2 decimal places. + 7.61 + + + Calculate the pH of a solution with a hydrogen ion concentration of 3.5 × 10^-5 M. Round to 2 decimal places. + 4.46 + + + Calculate the monthly payment for a $200,000 mortgage at 4.5% annual interest rate for 30 years (360 months). Use the standard mortgage payment formula. Round to 2 decimal places. + 1013.37 + + + Calculate the energy in joules of a photon with wavelength 550 nanometers. Use h = 6.626 × 10^-34 J·s and c = 3 × 10^8 m/s. Express the answer in scientific notation with 2 significant figures after the decimal (e.g., 3.61e-19). + 3.61e-19 + + + Find the larger real root of the quadratic equation 3x² - 7x + 2 = 0. Give the exact value. 2 - - - What day of the week will it be 1000 days from Monday? - Wednesday - - - - - Calculate 15! (15 factorial). Give the exact integer result. - 1307674368000 - - - - How many different ways can you choose 5 items from a set of 12 items? (Calculate C(12,5)) - 792 - - - - - Calculate sin(π/6) + cos(π/3) + tan(π/4). Give the exact value. - 2 - - - - - Solve for x: 2^x = 128. Give the exact integer value. - 7 - - - - Calculate ln(e^3) + log₁₀(1000) - log₂(8). Give the exact value. - 3 - - - - - Calculate the determinant of the 2x2 matrix [[3, 7], [2, 5]]. - 1 - - - - - What is the greatest common divisor (GCD) of 1071 and 462? - 21 - - - - Is 97 a prime number? Answer 'true' or 'false'. - true - - - - - Calculate 42 XOR 15 (bitwise exclusive OR). - 37 - - - - - Calculate floor(7.8) × ceiling(2.1) + round(4.5). - 25 - - - - - Calculate the magnitude of the complex number 3 + 4i. - 5 - - - - - Convert the hexadecimal number FF to decimal. - 255 - - - - - Calculate the median of this dataset: [3, 7, 2, 9, 1, 5, 8]. - 5 - - - - - Calculate the 10th Fibonacci number (where F(1)=1, F(2)=1). - 55 - - - - - What is 25% of 40% of 80% of 500? - 40 - - - - - Convert 72 degrees Fahrenheit to Celsius. Round to 1 decimal place. - 22.2 - - \ No newline at end of file + diff --git a/tool_evaluation/tool_evaluation.ipynb b/tool_evaluation/tool_evaluation.ipynb index c551cca..8403078 100644 --- a/tool_evaluation/tool_evaluation.ipynb +++ b/tool_evaluation/tool_evaluation.ipynb @@ -42,28 +42,19 @@ "# Embedded evaluator prompt\n", "EVALUATION_PROMPT = \"\"\"You are an AI assistant with access to tools.\n", "\n", - "When given a task, you should:\n", + "When given a task, you MUST:\n", "1. Use the available tools to complete the task\n", - "2. Provide a reasoning of your approach wrapped in tags\n", - "3. Provide feedback on the tools wrapped in tags\n", - "4. Provide your final response wrapped in tags, last\n", + "2. Provide summary of each step in your approach, wrapped in tags\n", + "3. Provide feedback on the tools provided, wrapped in tags\n", + "4. Provide your final response, wrapped in tags\n", "\n", - "Important:\n", - "- Your response should be concise and directly address what was asked\n", - "- Always wrap your final response in tags\n", - "- If you cannot solve the task return NOT_FOUND\n", - "- For numeric responses, provide just the number\n", - "- For IDs, provide just the ID\n", - "- For names or text, provide the exact text requested\n", - "- Your response should go last\n", - "\n", - "Reasoning Requirements:\n", - "- In your tags, explain:\n", + "Summary Requirements:\n", + "- In your tags, you must explain:\n", " - The steps you took to complete the task\n", " - Which tools you used, in what order, and why\n", " - The inputs you provided to each tool\n", " - The outputs you received from each tool\n", - " - Your reasoning for how you arrived at the response\n", + " - A summary for how you arrived at the response\n", "\n", "Feedback Requirements:\n", "- In your tags, provide constructive feedback on the tools:\n", @@ -72,7 +63,16 @@ " - Comment on descriptions: Do they accurately describe what the tool does?\n", " - Comment on any errors encountered during tool usage: Did the tool fail to execute? Did the tool return too many tokens?\n", " - Identify specific areas for improvement and explain WHY they would help\n", - " - Be specific and actionable in your suggestions\"\"\"" + " - Be specific and actionable in your suggestions\n", + " \n", + "Response Requirements:\n", + "- Your response should be concise and directly address what was asked\n", + "- Always wrap your final response in tags\n", + "- If you cannot solve the task return NOT_FOUND\n", + "- For numeric responses, provide just the number\n", + "- For IDs, provide just the ID\n", + "- For names or text, provide the exact text requested\n", + "- Your response should go last\"\"\"" ] }, { @@ -89,7 +89,7 @@ "outputs": [], "source": [ "client = Anthropic()\n", - "model = \"claude-sonnet-4-20250514\"\n", + "model = \"claude-3-7-sonnet-20250219\"\n", "\n", "\n", "def agent_loop(\n", @@ -222,9 +222,9 @@ " matches = re.findall(pattern, text, re.DOTALL)\n", " return matches[-1].strip() if matches else None\n", "\n", - " response, reasoning, feedback = (\n", + " response, summary, feedback = (\n", " _extract_xml_content(response, tag)\n", - " for tag in [\"response\", \"reasoning\", \"feedback\"]\n", + " for tag in [\"response\", \"summary\", \"feedback\"]\n", " )\n", " duration_seconds = time.time() - start_time\n", "\n", @@ -238,7 +238,7 @@ " \"num_tool_calls\": sum(\n", " len(metrics[\"durations\"]) for metrics in tool_metrics.values()\n", " ),\n", - " \"reasoning\": reasoning,\n", + " \"summary\": summary,\n", " \"feedback\": feedback,\n", " }" ] @@ -280,8 +280,8 @@ "**Duration**: {total_duration:.2f}s\n", "**Tool Calls**: {tool_calls}\n", "\n", - "**Reasoning**\n", - "{reasoning}\n", + "**Summary**\n", + "{summary}\n", "\n", "**Feedback**\n", "{feedback}\n", @@ -339,7 +339,7 @@ " correct_indicator=\"✅\" if result[\"score\"] else \"❌\",\n", " total_duration=result[\"total_duration\"],\n", " tool_calls=json.dumps(result[\"tool_calls\"], indent=2),\n", - " reasoning=result[\"reasoning\"] or \"N/A\",\n", + " summary=result[\"summary\"] or \"N/A\",\n", " feedback=result[\"feedback\"] or \"N/A\",\n", " )\n", " for task, result in zip(tasks, results)\n", @@ -374,13 +374,13 @@ "# Define the tool schema for the calculator\n", "calculator_tool = {\n", " \"name\": \"calculator\",\n", - " \"description\": \"A calculator.\", # An unhelpful tool description. \n", + " \"description\": \"\", # An unhelpful tool description. \n", " \"input_schema\": {\n", " \"type\": \"object\",\n", " \"properties\": {\n", " \"expression\": {\n", " \"type\": \"string\",\n", - " \"description\": \"A mathematical expression.\", # An unhelpful schema description.\n", + " \"description\": \"\", # An unhelpful schema description.\n", " }\n", " },\n", " \"required\": [\"expression\"],\n", @@ -409,800 +409,494 @@ "text": [ "✅ Using calculator tool\n", "🚀 Starting Evaluation\n", - "📋 Loaded 20 evaluation tasks\n", - "Processing task 1/20\n", - "Task 1: Running task with prompt: How many days are between March 15, 2024 and September 22, 2025? Include both start and end dates in your count.\n", - "Processing task 2/20\n", - "Task 2: Running task with prompt: If a meeting starts at 11:45 AM and lasts for 2 hours and 37 minutes, what time does it end? Express in 24-hour format as HH:MM.\n", - "Processing task 3/20\n", - "Task 3: Running task with prompt: What is 2^100 mod 7? Give the exact integer result.\n", - "Processing task 4/20\n", - "Task 4: Running task with prompt: What day of the week will it be 1000 days from Monday?\n", - "Processing task 5/20\n", - "Task 5: Running task with prompt: Calculate 15! (15 factorial). Give the exact integer result.\n", - "Processing task 6/20\n", - "Task 6: Running task with prompt: How many different ways can you choose 5 items from a set of 12 items? (Calculate C(12,5))\n", - "Processing task 7/20\n", - "Task 7: Running task with prompt: Calculate sin(π/6) + cos(π/3) + tan(π/4). Give the exact value.\n", - "Processing task 8/20\n", - "Task 8: Running task with prompt: Solve for x: 2^x = 128. Give the exact integer value.\n", - "Processing task 9/20\n", - "Task 9: Running task with prompt: Calculate ln(e^3) + log₁₀(1000) - log₂(8). Give the exact value.\n", - "Processing task 10/20\n", - "Task 10: Running task with prompt: Calculate the determinant of the 2x2 matrix [[3, 7], [2, 5]].\n", - "Processing task 11/20\n", - "Task 11: Running task with prompt: What is the greatest common divisor (GCD) of 1071 and 462?\n", - "Processing task 12/20\n", - "Task 12: Running task with prompt: Is 97 a prime number? Answer 'true' or 'false'.\n", - "Processing task 13/20\n", - "Task 13: Running task with prompt: Calculate 42 XOR 15 (bitwise exclusive OR).\n", - "Processing task 14/20\n", - "Task 14: Running task with prompt: Calculate floor(7.8) × ceiling(2.1) + round(4.5).\n", - "Processing task 15/20\n", - "Task 15: Running task with prompt: Calculate the magnitude of the complex number 3 + 4i.\n", - "Processing task 16/20\n", - "Task 16: Running task with prompt: Convert the hexadecimal number FF to decimal.\n", - "Processing task 17/20\n", - "Task 17: Running task with prompt: Calculate the median of this dataset: [3, 7, 2, 9, 1, 5, 8].\n", - "Processing task 18/20\n", - "Task 18: Running task with prompt: Calculate the 10th Fibonacci number (where F(1)=1, F(2)=1).\n", - "Processing task 19/20\n", - "Task 19: Running task with prompt: What is 25% of 40% of 80% of 500?\n", - "Processing task 20/20\n", - "Task 20: Running task with prompt: Convert 72 degrees Fahrenheit to Celsius. Round to 1 decimal place.\n", + "📋 Loaded 8 evaluation tasks\n", + "Processing task 1/8\n", + "Task 1: Running task with prompt: Calculate the compound interest on $10,000 invested at 5% annual interest rate, compounded monthly for 3 years. What is the final amount in dollars (rounded to 2 decimal places)?\n", + "Processing task 2/8\n", + "Task 2: Running task with prompt: A projectile is launched at a 45-degree angle with an initial velocity of 50 m/s. Calculate the total distance (in meters) it has traveled from the launch point after 2 seconds, assuming g=9.8 m/s². Round to 2 decimal places.\n", + "Processing task 3/8\n", + "Task 3: Running task with prompt: A sphere has a volume of 500 cubic meters. Calculate its surface area in square meters. Round to 2 decimal places.\n", + "Processing task 4/8\n", + "Task 4: Running task with prompt: Calculate the population standard deviation of this dataset: [12, 15, 18, 22, 25, 30, 35]. Round to 2 decimal places.\n", + "Processing task 5/8\n", + "Task 5: Running task with prompt: Calculate the pH of a solution with a hydrogen ion concentration of 3.5 × 10^-5 M. Round to 2 decimal places.\n", + "Processing task 6/8\n", + "Task 6: Running task with prompt: Calculate the monthly payment for a $200,000 mortgage at 4.5% annual interest rate for 30 years (360 months). Use the standard mortgage payment formula. Round to 2 decimal places.\n", + "Processing task 7/8\n", + "Task 7: Running task with prompt: Calculate the energy in joules of a photon with wavelength 550 nanometers. Use h = 6.626 × 10^-34 J·s and c = 3 × 10^8 m/s. Express the answer in scientific notation with 2 significant figures after the decimal (e.g., 3.61e-19).\n", + "Processing task 8/8\n", + "Task 8: Running task with prompt: Find the larger real root of the quadratic equation 3x² - 7x + 2 = 0. Give the exact value.\n", "\n", "# Evaluation Report\n", "\n", "## Summary\n", "\n", - "- **Accuracy**: 18/20 (90.0%)\n", - "- **Average Task Duration**: 12.82s\n", - "- **Average Tool Calls per Task**: 2.80\n", - "- **Total Tool Calls**: 56\n", + "- **Accuracy**: 7/8 (87.5%)\n", + "- **Average Task Duration**: 22.73s\n", + "- **Average Tool Calls per Task**: 7.75\n", + "- **Total Tool Calls**: 62\n", "\n", "---\n", "\n", "### Task\n", "\n", - "**Prompt**: How many days are between March 15, 2024 and September 22, 2025? Include both start and end dates in your count.\n", - "**Ground Truth Response**: `557`\n", - "**Actual Response**: `557`\n", - "**Correct**: ✅\n", - "**Duration**: 24.50s\n", - "**Tool Calls**: {\n", - " \"calculator\": {\n", - " \"count\": 7,\n", - " \"durations\": [\n", - " 9.775161743164062e-05,\n", - " 8.893013000488281e-05,\n", - " 0.0001647472381591797,\n", - " 8.082389831542969e-05,\n", - " 8.058547973632812e-05,\n", - " 8.58306884765625e-05,\n", - " 7.414817810058594e-05\n", - " ]\n", - " }\n", - "}\n", - "\n", - "**Reasoning**\n", - "N/A\n", - "\n", - "**Feedback**\n", - "The calculator tool worked well for this task. Here's my assessment:\n", - "\n", - "Tool name: \"calculator\" is clear and accurately describes the function.\n", - "\n", - "Input parameters: The \"expression\" parameter is well-documented and straightforward. It's clear that it expects a mathematical expression as a string, and the required parameter is clearly marked.\n", - "\n", - "Description: The description \"A calculator\" is accurate but quite brief. It could be more descriptive, such as \"A calculator that evaluates mathematical expressions\" to be more informative.\n", - "\n", - "Performance: The tool executed all calculations correctly without errors and returned appropriate numeric results. No token limit issues were encountered.\n", - "\n", - "Areas for improvement:\n", - "- The description could be more detailed to specify what types of mathematical operations are supported\n", - "- It would be helpful to know if there are any limitations on expression complexity or supported functions\n", - "- Examples of valid expressions in the description would make it more user-friendly\n", - "\n", - "---\n", - "\n", - "### Task\n", - "\n", - "**Prompt**: If a meeting starts at 11:45 AM and lasts for 2 hours and 37 minutes, what time does it end? Express in 24-hour format as HH:MM.\n", - "**Ground Truth Response**: `14:22`\n", - "**Actual Response**: `14:22`\n", - "**Correct**: ✅\n", - "**Duration**: 15.42s\n", - "**Tool Calls**: {\n", - " \"calculator\": {\n", - " \"count\": 3,\n", - " \"durations\": [\n", - " 7.867813110351562e-05,\n", - " 7.557868957519531e-05,\n", - " 7.05718994140625e-05\n", - " ]\n", - " }\n", - "}\n", - "\n", - "**Reasoning**\n", - "N/A\n", - "\n", - "**Feedback**\n", - "The calculator tool worked well for this time calculation problem. Here's my assessment:\n", - "\n", - "**Tool Name**: \"calculator\" - Clear and descriptive name that accurately reflects its function.\n", - "\n", - "**Input Parameters**: \n", - "- The \"expression\" parameter is well-documented as \"A mathematical expression\"\n", - "- It's properly marked as required\n", - "- The tool accepts standard mathematical expressions which is intuitive\n", - "\n", - "**Description**: The description \"A calculator\" is accurate but quite brief. It could be enhanced by mentioning it can handle basic arithmetic operations and mathematical expressions.\n", - "\n", - "**Tool Performance**: \n", - "- The tool executed all calculations correctly without errors\n", - "- It handled multi-step arithmetic expressions well\n", - "- Results were returned promptly with appropriate precision\n", - "- No token limit issues encountered\n", - "\n", - "**Areas for Improvement**:\n", - "- The description could be more detailed, such as \"A calculator that evaluates mathematical expressions including basic arithmetic operations (+, -, *, /), parentheses, and decimal numbers\"\n", - "- It would be helpful to know what mathematical functions are supported beyond basic arithmetic\n", - "- Information about precision limits or maximum expression complexity would be useful\n", - "\n", - "---\n", - "\n", - "### Task\n", - "\n", - "**Prompt**: What is 2^100 mod 7? Give the exact integer result.\n", - "**Ground Truth Response**: `2`\n", - "**Actual Response**: `2`\n", - "**Correct**: ✅\n", - "**Duration**: 6.92s\n", - "**Tool Calls**: {\n", - " \"calculator\": {\n", - " \"count\": 1,\n", - " \"durations\": [\n", - " 7.939338684082031e-05\n", - " ]\n", - " }\n", - "}\n", - "\n", - "**Reasoning**\n", - "N/A\n", - "\n", - "**Feedback**\n", - "The calculator tool worked well for this modular arithmetic problem. The tool name \"calculator\" is clear and descriptive. The input parameter \"expression\" is well-documented and allows for complex mathematical expressions including modular arithmetic operations. The description accurately describes the tool's purpose. The tool successfully handled the large exponentiation and modulo operation in a single expression, which is very convenient. No errors were encountered and the result was returned promptly.\n", - "\n", - "---\n", - "\n", - "### Task\n", - "\n", - "**Prompt**: What day of the week will it be 1000 days from Monday?\n", - "**Ground Truth Response**: `Wednesday`\n", - "**Actual Response**: `Sunday`\n", + "**Prompt**: Calculate the compound interest on $10,000 invested at 5% annual interest rate, compounded monthly for 3 years. What is the final amount in dollars (rounded to 2 decimal places)?\n", + "**Ground Truth Response**: `11614.72`\n", + "**Actual Response**: `$11,614.72`\n", "**Correct**: ❌\n", - "**Duration**: 10.90s\n", + "**Duration**: 18.64s\n", "**Tool Calls**: {\n", " \"calculator\": {\n", - " \"count\": 1,\n", + " \"count\": 6,\n", " \"durations\": [\n", - " 6.914138793945312e-05\n", + " 9.560585021972656e-05,\n", + " 9.870529174804688e-05,\n", + " 8.988380432128906e-05,\n", + " 0.00011301040649414062,\n", + " 0.00010704994201660156,\n", + " 8.821487426757812e-05\n", " ]\n", " }\n", "}\n", "\n", - "**Reasoning**\n", - "The calculator shows that 1000 mod 7 = 6. This means that 1000 days from Monday will be 6 days after Monday in the weekly cycle.\n", + "**Summary**\n", + "I approached this compound interest calculation in the following steps:\n", "\n", - "Starting from Monday and counting 6 days forward:\n", - "- Monday + 1 day = Tuesday\n", - "- Monday + 2 days = Wednesday \n", - "- Monday + 3 days = Thursday\n", - "- Monday + 4 days = Friday\n", - "- Monday + 5 days = Saturday\n", - "- Monday + 6 days = Sunday\n", + "1. First, I identified the formula needed: P(1 + r/n)^(nt) where:\n", + " - P = principal ($10,000)\n", + " - r = annual interest rate (5% or 0.05)\n", + " - n = number of times compounded per year (12 for monthly)\n", + " - t = time in years (3)\n", "\n", - "So 1000 days from Monday will be a Sunday.\n", + "2. I initially tried using the calculator tool with the formula using ^ for exponentiation, but received an error.\n", + "\n", + "3. I corrected the syntax by using ** for exponentiation in Python, calculating 10000 * (1 + 0.05/12)**(12*3).\n", + "\n", + "4. The calculator returned 11614.722313334678.\n", + "\n", + "5. I attempted several approaches to round to 2 decimal places using functions like round() and int(), but these weren't available in the calculator environment.\n", + "\n", + "6. Since the calculator doesn't have built-in rounding functions, I had to manually round the result to 2 decimal places: $11,614.72.\n", "\n", "**Feedback**\n", - "The calculator tool worked well for this task. Here's my feedback:\n", + "The calculator tool has both strengths and areas for improvement:\n", "\n", - "Tool name: \"calculator\" - Clear and descriptive name that accurately represents the function.\n", + "1. Tool name: \"calculator\" is clear and descriptive, immediately conveying its purpose.\n", "\n", - "Input parameters: The \"expression\" parameter is well-documented and appropriately named. It's clear that it expects a mathematical expression as a string. The requirement that it's a required parameter is also clear.\n", + "2. Input parameters: The \"expression\" parameter is simple, but lacks description of what syntax is supported. It would be helpful to specify that it uses Python syntax (particularly ** for exponentiation rather than ^).\n", "\n", - "Description: The description \"A calculator\" is very brief but functional. It could be slightly more descriptive, such as \"A calculator that evaluates mathematical expressions\" to be more informative about its capabilities.\n", + "3. Error messaging: The error messages are helpful in identifying syntax issues, but don't provide guidance on how to fix them.\n", "\n", - "Performance: The tool executed successfully and returned the correct result for the modulo operation (1000 % 7 = 6). No errors were encountered.\n", + "4. Functionality limitations: The calculator doesn't support common mathematical functions like round(), int(), or the math module. It would be more useful if it included basic rounding and mathematical functions.\n", "\n", - "Areas for improvement: The description could be expanded to mention what types of mathematical operations are supported (arithmetic, modulo, etc.) to help users understand the tool's full capabilities.\n", + "5. Documentation: It would be beneficial to include a brief description of supported operations and functions, along with examples of proper syntax for common calculations.\n", + "\n", + "Overall, adding better documentation and expanding the supported functions would significantly improve the usability of this tool.\n", "\n", "---\n", "\n", "### Task\n", "\n", - "**Prompt**: Calculate 15! (15 factorial). Give the exact integer result.\n", - "**Ground Truth Response**: `1307674368000`\n", - "**Actual Response**: `1307674368000`\n", + "**Prompt**: A projectile is launched at a 45-degree angle with an initial velocity of 50 m/s. Calculate the total distance (in meters) it has traveled from the launch point after 2 seconds, assuming g=9.8 m/s². Round to 2 decimal places.\n", + "**Ground Truth Response**: `87.25`\n", + "**Actual Response**: `87.25`\n", "**Correct**: ✅\n", - "**Duration**: 10.77s\n", + "**Duration**: 31.06s\n", "**Tool Calls**: {\n", " \"calculator\": {\n", - " \"count\": 2,\n", - " \"durations\": [\n", - " 7.414817810058594e-05,\n", - " 8.106231689453125e-05\n", - " ]\n", - " }\n", - "}\n", - "\n", - "**Reasoning**\n", - "N/A\n", - "\n", - "**Feedback**\n", - "The calculator tool has some strengths and weaknesses:\n", - "\n", - "Strengths:\n", - "- The tool name \"calculator\" is clear and descriptive\n", - "- The parameter name \"expression\" is well-named and intuitive\n", - "- The description \"A mathematical expression\" is concise\n", - "- The parameter documentation clearly indicates it's a required string\n", - "\n", - "Weaknesses:\n", - "- The tool doesn't support factorial notation (!), which is a common mathematical operator\n", - "- The error message \"invalid syntax\" is not very helpful - it doesn't specify what syntax is supported or what went wrong\n", - "- The description could be more detailed about what mathematical operations and functions are supported\n", - "- There's no indication of the computational limits or precision of the calculator\n", - "\n", - "Suggestions for improvement:\n", - "- Add support for factorial notation (!) as it's a fundamental mathematical operation\n", - "- Provide more detailed error messages that explain what syntax is supported\n", - "- Expand the description to list supported operations (e.g., \"+, -, *, /, ^, !, sqrt(), etc.\")\n", - "- Include information about numerical precision and limits in the description\n", - "\n", - "---\n", - "\n", - "### Task\n", - "\n", - "**Prompt**: How many different ways can you choose 5 items from a set of 12 items? (Calculate C(12,5))\n", - "**Ground Truth Response**: `792`\n", - "**Actual Response**: `792`\n", - "**Correct**: ✅\n", - "**Duration**: 11.31s\n", - "**Tool Calls**: {\n", - " \"calculator\": {\n", - " \"count\": 2,\n", - " \"durations\": [\n", - " 7.367134094238281e-05,\n", - " 8.177757263183594e-05\n", - " ]\n", - " }\n", - "}\n", - "\n", - "**Reasoning**\n", - "N/A\n", - "\n", - "**Feedback**\n", - "The calculator tool has some limitations that could be improved:\n", - "\n", - "1. **Error handling**: The tool failed when I used factorial notation (12!) without providing a clear error message about what syntax is supported. A more descriptive error message would help users understand what mathematical expressions are valid.\n", - "\n", - "2. **Mathematical notation support**: The tool doesn't seem to support factorial notation (!), which is commonly used in combinatorics problems. Adding support for factorial operations would make the tool more versatile for mathematical calculations.\n", - "\n", - "3. **Function name**: \"calculator\" is clear and descriptive.\n", - "\n", - "4. **Parameter documentation**: The \"expression\" parameter is well-named and the description \"A mathematical expression\" is adequate, though it could be more specific about what syntax/operations are supported.\n", - "\n", - "5. **Alternative approach success**: The tool worked well when I broke down the combination formula into basic arithmetic operations, showing it can handle complex expressions when written in supported syntax.\n", - "\n", - "---\n", - "\n", - "### Task\n", - "\n", - "**Prompt**: Calculate sin(π/6) + cos(π/3) + tan(π/4). Give the exact value.\n", - "**Ground Truth Response**: `2`\n", - "**Actual Response**: `2`\n", - "**Correct**: ✅\n", - "**Duration**: 13.78s\n", - "**Tool Calls**: {\n", - " \"calculator\": {\n", - " \"count\": 3,\n", - " \"durations\": [\n", - " 9.298324584960938e-05,\n", - " 8.034706115722656e-05,\n", - " 7.82012939453125e-05\n", - " ]\n", - " }\n", - "}\n", - "\n", - "**Reasoning**\n", - "N/A\n", - "\n", - "**Feedback**\n", - "The calculator tool has some limitations that could be improved:\n", - "\n", - "1. **Tool name**: The name \"calculator\" is clear and descriptive.\n", - "\n", - "2. **Input parameters**: The \"expression\" parameter is well-named, but the documentation could be more specific about what mathematical functions and syntax are supported. It's unclear whether trigonometric functions like sin, cos, tan are available or what import syntax is allowed.\n", - "\n", - "3. **Description**: The description \"A mathematical expression\" is too vague. It should specify:\n", - " - What mathematical functions are supported (basic arithmetic, trigonometric, logarithmic, etc.)\n", - " - What syntax is expected (Python-like, standard mathematical notation, etc.)\n", - " - Whether imports are allowed or if functions need to be prefixed\n", - "\n", - "4. **Error handling**: The tool returned syntax errors when I tried to use trigonometric functions or import statements, but didn't provide guidance on correct syntax. Better error messages would help users understand the limitations.\n", - "\n", - "5. **Specific improvements needed**:\n", - " - Add built-in support for common mathematical functions (sin, cos, tan, log, sqrt, etc.)\n", - " - Clarify the supported syntax in the parameter description\n", - " - Provide examples of valid expressions\n", - " - If imports aren't supported, the tool should have pre-imported common math functions\n", - "\n", - "---\n", - "\n", - "### Task\n", - "\n", - "**Prompt**: Solve for x: 2^x = 128. Give the exact integer value.\n", - "**Ground Truth Response**: `7`\n", - "**Actual Response**: `7`\n", - "**Correct**: ✅\n", - "**Duration**: 14.76s\n", - "**Tool Calls**: {\n", - " \"calculator\": {\n", - " \"count\": 4,\n", + " \"count\": 12,\n", " \"durations\": [\n", + " 9.5367431640625e-05,\n", + " 9.465217590332031e-05,\n", + " 7.987022399902344e-05,\n", + " 8.726119995117188e-05,\n", " 9.036064147949219e-05,\n", - " 7.700920104980469e-05,\n", - " 7.200241088867188e-05,\n", - " 7.581710815429688e-05\n", + " 8.606910705566406e-05,\n", + " 9.298324584960938e-05,\n", + " 9.226799011230469e-05,\n", + " 7.963180541992188e-05,\n", + " 8.96453857421875e-05,\n", + " 9.012222290039062e-05,\n", + " 7.605552673339844e-05\n", " ]\n", " }\n", "}\n", "\n", - "**Reasoning**\n", - "N/A\n", + "**Summary**\n", + "To solve this projectile motion problem, I took the following steps:\n", + "\n", + "1. I first calculated the horizontal distance after 2 seconds:\n", + " - Used the formula x = v₀ × cos(θ) × t\n", + " - Since the calculator didn't accept trigonometric functions directly, I used the value 0.7071 (which is approximately cos(45°))\n", + " - Input: 50 * 2 * 0.7071\n", + " - Output: 70.71 meters\n", + "\n", + "2. I then calculated the vertical distance after 2 seconds:\n", + " - Used the formula y = v₀ × sin(θ) × t - 0.5 × g × t²\n", + " - Since sin(45°) is also approximately 0.7071\n", + " - Input: 50 * 0.7071 * 2 - 0.5 * 9.8 * (2**2)\n", + " - Output: 51.11 meters\n", + "\n", + "3. Finally, I calculated the total distance using the Pythagorean theorem:\n", + " - Used the formula d = √(x² + y²)\n", + " - Since the sqrt function wasn't available, I used the power operator with exponent 1/2\n", + " - Input: ((70.71)**2 + (51.11)**2)**(1/2)\n", + " - Output: 87.2475569858549 meters\n", + "\n", + "4. I rounded the result to 2 decimal places, which gives 87.25 meters.\n", "\n", "**Feedback**\n", - "The calculator tool has some inconsistencies in how it handles exponentiation:\n", - "- The caret symbol (^) didn't work properly for exponentiation (2^7 returned 5 instead of 128)\n", - "- The pow() function is not defined\n", - "- The ** operator works correctly for exponentiation\n", + "The calculator tool has several limitations that made this problem more complex to solve:\n", "\n", - "Tool name: \"calculator\" is clear and descriptive.\n", + "1. Tool name: The name \"calculator\" is clear and descriptive.\n", "\n", - "Input parameters: The \"expression\" parameter is well-documented as \"A mathematical expression\" and it's clear that it's required.\n", + "2. Input parameters: The \"expression\" parameter is not well-documented. There's no information about what functions or operations are supported.\n", "\n", - "Description: The description \"A calculator\" is accurate but quite brief. It could be more helpful to specify what mathematical operations and syntax are supported.\n", + "3. Description: There is no description provided for the tool, which would have been helpful to understand its capabilities and limitations.\n", "\n", - "Areas for improvement:\n", - "1. The tool should consistently support standard mathematical notation like ^ for exponentiation\n", - "2. The description should specify which operators and functions are supported (e.g., +, -, *, /, **, etc.)\n", - "3. Error handling could be improved - when ^ didn't work as expected, it would be helpful to get an error message rather than an incorrect result\n", + "4. Errors encountered:\n", + " - The calculator doesn't support common mathematical functions like cos(), sin(), sqrt(), round(), int(), or floor().\n", + " - There's no math library implementation or prefix to use these functions.\n", + " - There's no clear documentation on what functions are supported.\n", + "\n", + "5. Areas for improvement:\n", + " - Add documentation about supported operations and functions\n", + " - Implement common mathematical functions (trigonometric, rounding, square root)\n", + " - Include examples of valid expressions\n", + " - Provide error messages that suggest alternatives when functions aren't available\n", + " - Support a math library like Python's math module would make the calculator much more useful for scientific calculations\n", "\n", "---\n", "\n", "### Task\n", "\n", - "**Prompt**: Calculate ln(e^3) + log₁₀(1000) - log₂(8). Give the exact value.\n", - "**Ground Truth Response**: `3`\n", - "**Actual Response**: `3`\n", + "**Prompt**: A sphere has a volume of 500 cubic meters. Calculate its surface area in square meters. Round to 2 decimal places.\n", + "**Ground Truth Response**: `304.65`\n", + "**Actual Response**: `304.65`\n", "**Correct**: ✅\n", - "**Duration**: 16.96s\n", - "**Tool Calls**: {\n", - " \"calculator\": {\n", - " \"count\": 4,\n", - " \"durations\": [\n", - " 9.465217590332031e-05,\n", - " 9.083747863769531e-05,\n", - " 8.106231689453125e-05,\n", - " 7.939338684082031e-05\n", - " ]\n", - " }\n", - "}\n", - "\n", - "**Reasoning**\n", - "N/A\n", - "\n", - "**Feedback**\n", - "The calculator tool has some limitations that became apparent during this task:\n", - "\n", - "**Tool Name**: The name \"calculator\" is clear and descriptive.\n", - "\n", - "**Input Parameters**: The \"expression\" parameter is well-documented as \"A mathematical expression\" and is clearly marked as required.\n", - "\n", - "**Functionality Issues**:\n", - "1. **Limited function support**: The calculator doesn't recognize common mathematical functions like ln, log, log10, or log2, which are standard in most mathematical contexts.\n", - "2. **No import capability**: The calculator cannot handle import statements like \"import math\" which would give access to logarithmic functions.\n", - "3. **Basic arithmetic only**: The tool appears to only support basic arithmetic operations (+, -, *, /, **) rather than advanced mathematical functions.\n", - "\n", - "**Suggestions for Improvement**:\n", - "1. **Expand function library**: Add support for common mathematical functions including ln(), log(), log10(), log2(), sin(), cos(), tan(), sqrt(), etc.\n", - "2. **Update description**: The description should specify what types of mathematical expressions are supported (e.g., \"A mathematical expression supporting basic arithmetic and common mathematical functions\").\n", - "3. **Provide examples**: Include examples in the description showing supported syntax and functions.\n", - "4. **Error handling**: Better error messages that suggest alternatives when unsupported functions are used.\n", - "\n", - "These improvements would make the calculator much more useful for mathematical problems involving logarithms, trigonometry, and other advanced functions.\n", - "\n", - "---\n", - "\n", - "### Task\n", - "\n", - "**Prompt**: Calculate the determinant of the 2x2 matrix [[3, 7], [2, 5]].\n", - "**Ground Truth Response**: `1`\n", - "**Actual Response**: `1`\n", - "**Correct**: ✅\n", - "**Duration**: 8.95s\n", - "**Tool Calls**: {\n", - " \"calculator\": {\n", - " \"count\": 1,\n", - " \"durations\": [\n", - " 7.367134094238281e-05\n", - " ]\n", - " }\n", - "}\n", - "\n", - "**Reasoning**\n", - "N/A\n", - "\n", - "**Feedback**\n", - "The calculator tool worked well for this task. Here's my assessment:\n", - "\n", - "**Tool Name**: \"calculator\" - Clear and descriptive, immediately conveys what the tool does.\n", - "\n", - "**Input Parameters**: \n", - "- The \"expression\" parameter is well-documented with a clear description \"A mathematical expression\"\n", - "- The parameter is properly marked as required, which is appropriate\n", - "- The parameter accepts string input, which works well for mathematical expressions\n", - "\n", - "**Description**: The description \"A calculator\" is accurate but quite brief. It could be more detailed about what types of expressions it supports.\n", - "\n", - "**Performance**: The tool executed successfully and returned the correct result (1) for the mathematical expression \"3*5 - 7*2\".\n", - "\n", - "**Areas for Improvement**:\n", - "- The tool description could be more comprehensive, specifying supported operations, syntax, or limitations\n", - "- It would be helpful to know if the calculator supports complex mathematical functions, parentheses, etc.\n", - "\n", - "---\n", - "\n", - "### Task\n", - "\n", - "**Prompt**: What is the greatest common divisor (GCD) of 1071 and 462?\n", - "**Ground Truth Response**: `21`\n", - "**Actual Response**: `21`\n", - "**Correct**: ✅\n", - "**Duration**: 18.60s\n", - "**Tool Calls**: {\n", - " \"calculator\": {\n", - " \"count\": 4,\n", - " \"durations\": [\n", - " 8.058547973632812e-05,\n", - " 7.43865966796875e-05,\n", - " 7.62939453125e-05,\n", - " 7.390975952148438e-05\n", - " ]\n", - " }\n", - "}\n", - "\n", - "**Reasoning**\n", - "I used the Euclidean algorithm to find the GCD of 1071 and 462:\n", - "\n", - "1. First, I tried using a gcd() function directly, but it wasn't available in the calculator\n", - "2. I then implemented the Euclidean algorithm manually:\n", - " - Step 1: 1071 % 462 = 147 (remainder when 1071 is divided by 462)\n", - " - Step 2: 462 % 147 = 21 (remainder when 462 is divided by 147) \n", - " - Step 3: 147 % 21 = 0 (remainder when 147 is divided by 21)\n", - " \n", - "Since the remainder is 0, the algorithm stops and the GCD is the last non-zero remainder, which is 21.\n", - "\n", - "**Feedback**\n", - "The calculator tool worked well for performing modular arithmetic operations needed for the Euclidean algorithm. However, there are some areas for improvement:\n", - "\n", - "Tool name: \"calculator\" is clear and descriptive.\n", - "\n", - "Input parameters: The \"expression\" parameter is well-documented as \"A mathematical expression\" and it's clear that it's required. However, it would be helpful to know what mathematical functions and operations are supported (e.g., does it support gcd(), sin(), cos(), etc.).\n", - "\n", - "Descriptions: The description accurately describes what the tool does, though it could be more specific about supported operations.\n", - "\n", - "Errors encountered: The gcd() function was not defined, which required me to implement the Euclidean algorithm manually using modular arithmetic. It would be beneficial if common mathematical functions like gcd(), lcm(), factorial(), etc. were built into the calculator.\n", - "\n", - "Specific improvements:\n", - "1. Include a list of supported mathematical functions in the parameter description\n", - "2. Add common mathematical functions like gcd(), lcm(), abs(), etc.\n", - "3. Consider providing examples of valid expressions in the parameter description\n", - "\n", - "---\n", - "\n", - "### Task\n", - "\n", - "**Prompt**: Is 97 a prime number? Answer 'true' or 'false'.\n", - "**Ground Truth Response**: `true`\n", - "**Actual Response**: `true`\n", - "**Correct**: ✅\n", - "**Duration**: 17.98s\n", + "**Duration**: 20.41s\n", "**Tool Calls**: {\n", " \"calculator\": {\n", " \"count\": 7,\n", " \"durations\": [\n", - " 7.748603820800781e-05,\n", - " 7.200241088867188e-05,\n", - " 7.367134094238281e-05,\n", - " 7.62939453125e-05,\n", - " 8.58306884765625e-05,\n", - " 7.843971252441406e-05,\n", - " 7.653236389160156e-05\n", + " 8.916854858398438e-05,\n", + " 9.226799011230469e-05,\n", + " 8.7738037109375e-05,\n", + " 8.368492126464844e-05,\n", + " 9.083747863769531e-05,\n", + " 0.0001010894775390625,\n", + " 0.00010538101196289062\n", " ]\n", " }\n", "}\n", "\n", - "**Reasoning**\n", + "**Summary**\n", "N/A\n", "\n", "**Feedback**\n", - "The calculator tool worked well for this task. The tool name \"calculator\" is clear and descriptive. The input parameter \"expression\" is well-documented and makes it clear that mathematical expressions should be provided as strings. The tool handled basic modulo operations and exponentiation correctly.\n", + "The calculator tool is useful but has some limitations:\n", "\n", - "One minor issue encountered was that \"sqrt\" wasn't recognized as a function, but using \"**0.5\" for square root worked as an alternative. It would be helpful if the tool documentation mentioned which mathematical functions are available (like sqrt, sin, cos, etc.) or if common mathematical functions were supported by default.\n", + "1. Function naming: The name \"calculator\" is clear and descriptive.\n", "\n", - "The tool provided accurate numerical results for all the modulo operations I needed to determine primality.\n", + "2. Input parameters: The \"expression\" parameter is straightforward, but there's no documentation about which mathematical operations and functions are supported.\n", + "\n", + "3. Supported operations: I encountered several errors with common mathematical operations:\n", + " - The caret symbol (^) for exponentiation didn't work; I had to use ** instead\n", + " - Built-in functions like 'round', 'int', and 'math' modules were not available\n", + "\n", + "4. Improvement suggestions:\n", + " - Provide documentation on which operators are supported (**, /, *, +, -, etc.)\n", + " - Include information about available mathematical functions or implement common ones like round()\n", + " - Add examples in the description showing proper syntax for exponentiation and other operations\n", + " - Consider implementing a parameter for specifying decimal precision in the result\n", + "\n", + "These improvements would reduce trial and error and make the tool more efficient to use.\n", "\n", "---\n", "\n", "### Task\n", "\n", - "**Prompt**: Calculate 42 XOR 15 (bitwise exclusive OR).\n", - "**Ground Truth Response**: `37`\n", - "**Actual Response**: `37`\n", + "**Prompt**: Calculate the population standard deviation of this dataset: [12, 15, 18, 22, 25, 30, 35]. Round to 2 decimal places.\n", + "**Ground Truth Response**: `7.61`\n", + "**Actual Response**: `7.61`\n", "**Correct**: ✅\n", - "**Duration**: 9.16s\n", + "**Duration**: 28.69s\n", + "**Tool Calls**: {\n", + " \"calculator\": {\n", + " \"count\": 10,\n", + " \"durations\": [\n", + " 8.7738037109375e-05,\n", + " 8.344650268554688e-05,\n", + " 9.584426879882812e-05,\n", + " 8.487701416015625e-05,\n", + " 0.00012683868408203125,\n", + " 8.463859558105469e-05,\n", + " 8.20159912109375e-05,\n", + " 7.62939453125e-05,\n", + " 7.939338684082031e-05,\n", + " 8.535385131835938e-05\n", + " ]\n", + " }\n", + "}\n", + "\n", + "**Summary**\n", + "To calculate the population standard deviation of the dataset [12, 15, 18, 22, 25, 30, 35] rounded to 2 decimal places, I took the following steps:\n", + "\n", + "1. First, I calculated the mean of the dataset:\n", + " - Input: (12 + 15 + 18 + 22 + 25 + 30 + 35) / 7\n", + " - Output: 22.428571428571427\n", + "\n", + "2. Then I calculated the variance by:\n", + " - Finding the squared deviation of each value from the mean\n", + " - Summing these squared deviations\n", + " - Dividing by the number of values (7) since this is a population standard deviation\n", + " - Input: ((12-22.428571428571427)**2 + (15-22.428571428571427)**2 + (18-22.428571428571427)**2 + (22-22.428571428571427)**2 + (25-22.428571428571427)**2 + (30-22.428571428571427)**2 + (35-22.428571428571427)**2) / 7\n", + " - Output: 57.95918367346939\n", + "\n", + "3. I then calculated the standard deviation by taking the square root of the variance:\n", + " - Input: (57.95918367346939)**0.5\n", + " - Output: 7.61309291112813\n", + "\n", + "4. Finally, I rounded to 2 decimal places: 7.61\n", + " (I had to determine this manually as the calculator tool didn't support rounding functions)\n", + "\n", + "**Feedback**\n", + "The calculator tool provided basic functionality but had significant limitations:\n", + "\n", + "1. Tool name: \"calculator\" is clear and descriptive, indicating its purpose well.\n", + "\n", + "2. Input parameters: The \"expression\" parameter is straightforward, but there's no description of what types of expressions are supported or the syntax to use.\n", + "\n", + "3. Description: The tool lacks a description of its capabilities and limitations. This would have been helpful to know in advance that functions like sum(), std(), round(), int(), and math library functions are not supported.\n", + "\n", + "4. Errors encountered: Several errors occurred when trying to use common mathematical functions. The calculator doesn't support:\n", + " - Statistical functions (std, sum)\n", + " - Rounding functions (round)\n", + " - Type conversion functions (int)\n", + " - Math library functions\n", + "\n", + "5. Areas for improvement:\n", + " - Add support for common mathematical and statistical functions like sum(), mean(), std(), round()\n", + " - Include a library of mathematical functions like math.floor(), math.ceil()\n", + " - Provide clear documentation on supported operations and syntax\n", + " - Allow for variable assignment and multi-line operations to simplify complex calculations\n", + " - Add specific statistical calculation tools for common operations like standard deviation\n", + "\n", + "These improvements would make the tool much more versatile and prevent the need for breaking down complex calculations into multiple basic arithmetic operations.\n", + "\n", + "---\n", + "\n", + "### Task\n", + "\n", + "**Prompt**: Calculate the pH of a solution with a hydrogen ion concentration of 3.5 × 10^-5 M. Round to 2 decimal places.\n", + "**Ground Truth Response**: `4.46`\n", + "**Actual Response**: `4.46`\n", + "**Correct**: ✅\n", + "**Duration**: 38.37s\n", + "**Tool Calls**: {\n", + " \"calculator\": {\n", + " \"count\": 16,\n", + " \"durations\": [\n", + " 8.726119995117188e-05,\n", + " 8.940696716308594e-05,\n", + " 9.322166442871094e-05,\n", + " 8.702278137207031e-05,\n", + " 0.00015282630920410156,\n", + " 0.00010943412780761719,\n", + " 0.00011801719665527344,\n", + " 8.463859558105469e-05,\n", + " 8.225440979003906e-05,\n", + " 9.059906005859375e-05,\n", + " 8.392333984375e-05,\n", + " 8.988380432128906e-05,\n", + " 0.00010824203491210938,\n", + " 9.393692016601562e-05,\n", + " 0.00010967254638671875,\n", + " 0.000156402587890625\n", + " ]\n", + " }\n", + "}\n", + "\n", + "**Summary**\n", + "I attempted to calculate the pH of a solution with a hydrogen ion concentration of 3.5 × 10^-5 M.\n", + "\n", + "Steps taken:\n", + "1. I tried various approaches to calculate pH using the calculator tool with different logarithm function notations (log10, ln, log), but encountered errors as these functions were not defined in the calculator tool.\n", + "2. I successfully verified the value of 3.5 × 10^-5 using the calculator tool.\n", + "3. Since direct logarithm calculations were not working, I switched to a manual calculation approach.\n", + "4. I used the pH formula: pH = -log10([H+])\n", + "5. I broke down the calculation: pH = -log10(3.5 × 10^-5) = -(log10(3.5) + log10(10^-5)) = -(log10(3.5) - 5)\n", + "6. I used the known approximation that log10(3.5) ≈ 0.544\n", + "7. I calculated: pH ≈ -(0.544 - 5) = 4.456\n", + "8. I rounded the result to 2 decimal places: 4.46\n", + "\n", + "The calculator tool was used multiple times with different expressions, but had limitations with logarithmic functions.\n", + "\n", + "**Feedback**\n", + "The calculator tool has several limitations:\n", + "\n", + "1. Tool name: \"calculator\" is clear and descriptive, accurately representing its basic function.\n", + "\n", + "2. Input parameters: The \"expression\" parameter is clear but lacks documentation. There's no information about what mathematical operations or functions are supported.\n", + "\n", + "3. Function support: The calculator doesn't support essential mathematical functions like logarithms (log, log10, ln), which are critical for many scientific calculations including pH. This significantly limits its utility for chemistry-related calculations.\n", + "\n", + "4. Error messages: The error messages indicate missing functions but don't provide alternatives or guidance on what syntax is supported.\n", + "\n", + "5. Documentation: There's no documentation about what mathematical libraries or syntax the calculator uses.\n", + "\n", + "Improvement suggestions:\n", + "- Include support for common mathematical functions (log, exp, sqrt, etc.)\n", + "- Add clear documentation about supported operations and functions\n", + "- Implement specialized functions for common calculations (like pH)\n", + "- Provide more helpful error messages that suggest correct syntax\n", + "- Include examples of supported expressions in the tool description\n", + "\n", + "These improvements would make the calculator much more useful for scientific calculations and reduce the need for manual calculations or workarounds.\n", + "\n", + "---\n", + "\n", + "### Task\n", + "\n", + "**Prompt**: Calculate the monthly payment for a $200,000 mortgage at 4.5% annual interest rate for 30 years (360 months). Use the standard mortgage payment formula. Round to 2 decimal places.\n", + "**Ground Truth Response**: `1013.37`\n", + "**Actual Response**: `1013.37`\n", + "**Correct**: ✅\n", + "**Duration**: 19.65s\n", + "**Tool Calls**: {\n", + " \"calculator\": {\n", + " \"count\": 6,\n", + " \"durations\": [\n", + " 0.00011038780212402344,\n", + " 0.0001671314239501953,\n", + " 8.273124694824219e-05,\n", + " 0.00010371208190917969,\n", + " 8.702278137207031e-05,\n", + " 8.726119995117188e-05\n", + " ]\n", + " }\n", + "}\n", + "\n", + "**Summary**\n", + "Steps taken to complete the task:\n", + "1. I needed to calculate the monthly mortgage payment using the standard formula: P * (r * (1+r)^n) / ((1+r)^n - 1)\n", + " Where P = principal ($200,000), r = monthly interest rate (4.5%/12), n = number of payments (360)\n", + "\n", + "2. First, I attempted to use the calculator tool with the formula using ^ for exponentiation, but received an error as Python uses ** for exponentiation.\n", + "\n", + "3. I corrected the formula using ** for exponentiation and successfully calculated the monthly payment as $1,013.3706196517716.\n", + "\n", + "4. I attempted to round to 2 decimal places using various methods (round(), int(), math.floor()), but these functions were not available in the calculator tool.\n", + "\n", + "5. Since the built-in rounding functions weren't available, I manually rounded the result to $1,013.37 based on the calculated value.\n", + "\n", + "**Feedback**\n", + "Calculator Tool Feedback:\n", + "- Tool name: The name \"calculator\" is clear and descriptive, indicating its purpose well.\n", + "- Input parameters: The \"expression\" parameter is clear but lacks description about syntax requirements or limitations.\n", + "- Descriptions: The tool description is completely absent, which makes it difficult to understand what types of expressions are supported.\n", + "- Errors encountered: The tool doesn't support common Python functions like round(), int(), or math module functions, which limits its utility for common mathematical operations.\n", + "\n", + "Areas for improvement:\n", + "1. Add a clear description for the calculator tool explaining what syntax it supports and what libraries/functions are available.\n", + "2. Include examples of supported operations in the documentation.\n", + "3. Support common mathematical functions like round() and basic modules like math for more complex calculations.\n", + "4. Provide better error messages that explain why an operation failed and suggest alternatives.\n", + "5. Add documentation about what syntax to use for exponentiation and other special operations to avoid trial and error.\n", + "\n", + "---\n", + "\n", + "### Task\n", + "\n", + "**Prompt**: Calculate the energy in joules of a photon with wavelength 550 nanometers. Use h = 6.626 × 10^-34 J·s and c = 3 × 10^8 m/s. Express the answer in scientific notation with 2 significant figures after the decimal (e.g., 3.61e-19).\n", + "**Ground Truth Response**: `3.61e-19`\n", + "**Actual Response**: `3.61e-19`\n", + "**Correct**: ✅\n", + "**Duration**: 8.61s\n", "**Tool Calls**: {\n", " \"calculator\": {\n", " \"count\": 1,\n", " \"durations\": [\n", - " 7.295608520507812e-05\n", + " 8.845329284667969e-05\n", " ]\n", " }\n", "}\n", "\n", - "**Reasoning**\n", - "N/A\n", + "**Summary**\n", + "To calculate the energy of a photon with wavelength 550 nanometers:\n", + "\n", + "1. I identified the formula needed: E = hc/λ, where:\n", + " - E is the energy in joules\n", + " - h is Planck's constant (6.626 × 10^-34 J·s)\n", + " - c is the speed of light (3 × 10^8 m/s)\n", + " - λ is the wavelength (550 nm = 550 × 10^-9 m)\n", + "\n", + "2. I used the calculator tool with the expression: 6.626e-34 * 3e8 / (550e-9)\n", + " - Input: The mathematical expression with scientific notation\n", + " - Output: 3.614181818181818e-19 joules\n", + "\n", + "3. The result needs to be formatted with 2 significant figures after the decimal, so 3.61e-19 J.\n", "\n", "**Feedback**\n", - "The calculator tool worked well for this bitwise operation:\n", + "The calculator tool works well for this calculation:\n", "\n", - "**Strengths:**\n", - "- Tool name \"calculator\" is clear and descriptive\n", - "- The tool correctly interpreted the ^ operator as XOR rather than exponentiation, which is appropriate for bitwise operations\n", - "- The expression parameter is well-documented as \"A mathematical expression\"\n", - "- The tool executed successfully and returned the correct result\n", + "- Tool name: \"calculator\" is clear and describes its function well.\n", + "- Input parameters: The single \"expression\" parameter is intuitive, though a brief description of acceptable syntax would be helpful.\n", + "- Description: There's no actual description provided for the tool in the schema, which would be useful to explain capabilities and limitations.\n", + "- Functionality: The tool handled scientific notation correctly and performed the calculation as expected.\n", "\n", - "**Areas for improvement:**\n", - "- The description could be more specific about supported operations, particularly noting that it supports bitwise operations like XOR (^), AND (&), OR (|), etc.\n", - "- It would be helpful to clarify in the documentation that ^ represents XOR rather than exponentiation in this context\n", - "- The parameter description could include examples of supported expression types or operators\n", + "Improvement suggestion: Adding a brief description of the calculator's capabilities and acceptable syntax formats would help users understand how to properly format complex expressions, especially when dealing with scientific notation.\n", "\n", "---\n", "\n", "### Task\n", "\n", - "**Prompt**: Calculate floor(7.8) × ceiling(2.1) + round(4.5).\n", - "**Ground Truth Response**: `25`\n", - "**Actual Response**: `26`\n", - "**Correct**: ❌\n", - "**Duration**: 16.79s\n", + "**Prompt**: Find the larger real root of the quadratic equation 3x² - 7x + 2 = 0. Give the exact value.\n", + "**Ground Truth Response**: `2`\n", + "**Actual Response**: `2`\n", + "**Correct**: ✅\n", + "**Duration**: 16.37s\n", "**Tool Calls**: {\n", " \"calculator\": {\n", " \"count\": 4,\n", " \"durations\": [\n", - " 8.940696716308594e-05,\n", - " 9.965896606445312e-05,\n", + " 0.0001506805419921875,\n", " 9.179115295410156e-05,\n", - " 6.818771362304688e-05\n", + " 0.000102996826171875,\n", + " 9.870529174804688e-05\n", " ]\n", " }\n", "}\n", "\n", - "**Reasoning**\n", - "N/A\n", + "**Summary**\n", + "I solved the quadratic equation 3x² - 7x + 2 = 0 using the quadratic formula:\n", + "x = (-b ± √(b² - 4ac))/(2a)\n", + "\n", + "Where a = 3, b = -7, c = 2\n", + "\n", + "Steps taken:\n", + "1. First, I attempted to use the calculator with the \"sqrt\" function, but encountered an error.\n", + "2. Then I tried using the exponentiation with \"^\" which also caused an error.\n", + "3. Finally, I correctly used the \"**\" operator for exponentiation in the calculator tool.\n", + "4. I calculated both roots using the quadratic formula:\n", + " - For the larger root: (-(-7) + ((-7)**2 - 4*3*2)**0.5)/(2*3) = 2.0\n", + " - For the smaller root: (-(-7) - ((-7)**2 - 4*3*2)**0.5)/(2*3) = 0.3333333333333333\n", + "\n", + "The larger real root is 2.\n", "\n", "**Feedback**\n", - "The calculator tool has several limitations that make it difficult to use for more complex mathematical operations:\n", + "The calculator tool is useful but has some limitations and areas for improvement:\n", "\n", - "**Tool Name**: The name \"calculator\" is clear and descriptive.\n", + "1. Tool name: \"calculator\" is clear and descriptive.\n", + "2. Input parameters: The single \"expression\" parameter is straightforward, though it would be helpful to have documentation on the supported syntax.\n", + "3. Description: The tool lacks a description of what operations are supported and what syntax to use. This caused my initial errors with sqrt() and the ^ operator.\n", + "4. Syntax limitations: The calculator doesn't support common mathematical functions like \"sqrt\" directly, requiring the use of exponentiation (raising to power 0.5) instead. It also uses Python-style \"**\" for exponentiation rather than the more common \"^\" symbol.\n", + "5. Error messages: The error messages were helpful in identifying the issues with my syntax.\n", "\n", - "**Input Parameters**: The \"expression\" parameter is well-documented as \"A mathematical expression\" and it's clear that it's required. However, the documentation doesn't specify what mathematical functions are supported.\n", - "\n", - "**Functionality Issues**: \n", - "- The tool doesn't support common mathematical functions like floor(), ceil(), round(), or even int()\n", - "- It doesn't have access to the math module\n", - "- The tool appears to only support basic arithmetic operations (+, -, *, /, etc.)\n", - "\n", - "**Specific Areas for Improvement**:\n", - "1. **Function Support**: The tool should support common mathematical functions like floor, ceil, round, abs, min, max, etc. This would make it much more useful for mathematical calculations.\n", - "2. **Documentation**: The parameter description should specify which functions and operations are supported (e.g., \"Supports basic arithmetic (+, -, *, /, **) and common functions (sin, cos, sqrt, etc.)\")\n", - "3. **Error Handling**: Better error messages explaining what functions are available when unsupported functions are used would help users understand the tool's limitations.\n", - "4. **Import Statements**: If the tool uses Python evaluation, it should have common modules like math pre-imported or allow import statements.\n", - "\n", - "These improvements would make the calculator tool much more versatile and user-friendly for a wider range of mathematical calculations.\n", - "\n", - "---\n", - "\n", - "### Task\n", - "\n", - "**Prompt**: Calculate the magnitude of the complex number 3 + 4i.\n", - "**Ground Truth Response**: `5`\n", - "**Actual Response**: `5`\n", - "**Correct**: ✅\n", - "**Duration**: 12.84s\n", - "**Tool Calls**: {\n", - " \"calculator\": {\n", - " \"count\": 3,\n", - " \"durations\": [\n", - " 9.1552734375e-05,\n", - " 8.96453857421875e-05,\n", - " 0.0001010894775390625\n", - " ]\n", - " }\n", - "}\n", - "\n", - "**Reasoning**\n", - "N/A\n", - "\n", - "**Feedback**\n", - "The calculator tool has some limitations that could be improved:\n", - "\n", - "1. **Tool name**: The name \"calculator\" is clear and descriptive.\n", - "\n", - "2. **Input parameters**: The parameter \"expression\" is well-named and the description \"A mathematical expression\" is accurate, though it could be more specific about supported syntax.\n", - "\n", - "3. **Syntax support issues**: The tool doesn't support common mathematical functions like `sqrt()` and uses Python's `**` operator for exponentiation instead of the more mathematical `^` operator. This creates confusion as `^` is the standard mathematical notation for exponentiation, but the tool interprets it as Python's XOR operator.\n", - "\n", - "4. **Error handling**: The tool provides clear error messages when syntax is incorrect, which is helpful for debugging.\n", - "\n", - "5. **Suggestions for improvement**:\n", - " - Add support for common mathematical functions like `sqrt()`, `sin()`, `cos()`, `log()`, etc.\n", - " - Consider supporting both `^` and `**` for exponentiation to accommodate different user expectations\n", - " - Update the parameter description to specify the supported syntax (e.g., \"A mathematical expression using Python syntax\")\n", - " - Provide examples of valid expressions in the description\n", - "\n", - "---\n", - "\n", - "### Task\n", - "\n", - "**Prompt**: Convert the hexadecimal number FF to decimal.\n", - "**Ground Truth Response**: `255`\n", - "**Actual Response**: `255`\n", - "**Correct**: ✅\n", - "**Duration**: 6.72s\n", - "**Tool Calls**: {\n", - " \"calculator\": {\n", - " \"count\": 1,\n", - " \"durations\": [\n", - " 7.2479248046875e-05\n", - " ]\n", - " }\n", - "}\n", - "\n", - "**Reasoning**\n", - "N/A\n", - "\n", - "**Feedback**\n", - "The calculator tool worked well for this task. The tool name \"calculator\" is clear and descriptive. The \"expression\" parameter is well-documented and makes it obvious what kind of input is expected. The tool successfully handled the mathematical expression and returned the correct result without any errors. The description accurately describes what the tool does. No improvements are needed for this particular use case.\n", - "\n", - "---\n", - "\n", - "### Task\n", - "\n", - "**Prompt**: Calculate the median of this dataset: [3, 7, 2, 9, 1, 5, 8].\n", - "**Ground Truth Response**: `5`\n", - "**Actual Response**: `5`\n", - "**Correct**: ✅\n", - "**Duration**: 11.66s\n", - "**Tool Calls**: {\n", - " \"calculator\": {\n", - " \"count\": 3,\n", - " \"durations\": [\n", - " 0.00010514259338378906,\n", - " 7.700920104980469e-05,\n", - " 7.224082946777344e-05\n", - " ]\n", - " }\n", - "}\n", - "\n", - "**Reasoning**\n", - "N/A\n", - "\n", - "**Feedback**\n", - "The calculator tool has some limitations:\n", - "- Tool name \"calculator\" is clear and descriptive\n", - "- The parameter \"expression\" is well-documented as \"A mathematical expression\" \n", - "- However, the tool appears to be limited to basic mathematical operations and doesn't support Python functions like sorted(), which would be helpful for statistical calculations\n", - "- The tool executed successfully for basic arithmetic but failed when trying to use built-in Python functions\n", - "- For improvement, the tool could either:\n", - " 1. Support more Python built-in functions for data analysis tasks\n", - " 2. Have clearer documentation about what types of expressions are supported\n", - " 3. Provide better error messages explaining limitations\n", - "\n", - "---\n", - "\n", - "### Task\n", - "\n", - "**Prompt**: Calculate the 10th Fibonacci number (where F(1)=1, F(2)=1).\n", - "**Ground Truth Response**: `55`\n", - "**Actual Response**: `55`\n", - "**Correct**: ✅\n", - "**Duration**: 9.10s\n", - "**Tool Calls**: {\n", - " \"calculator\": {\n", - " \"count\": 1,\n", - " \"durations\": [\n", - " 7.271766662597656e-05\n", - " ]\n", - " }\n", - "}\n", - "\n", - "**Reasoning**\n", - "N/A\n", - "\n", - "**Feedback**\n", - "The calculator tool worked well for this verification step. The tool name \"calculator\" is clear and descriptive. The parameter \"expression\" is well-documented and it's clear that it expects a mathematical expression as a string. The description \"A calculator\" is simple but adequate - it could be slightly more descriptive by mentioning it can evaluate mathematical expressions. The tool executed without any issues and returned the correct result. One potential improvement would be to specify in the description what types of mathematical operations are supported (basic arithmetic, advanced functions, etc.), though for this use case the basic functionality was sufficient.\n", - "\n", - "---\n", - "\n", - "### Task\n", - "\n", - "**Prompt**: What is 25% of 40% of 80% of 500?\n", - "**Ground Truth Response**: `40`\n", - "**Actual Response**: `40`\n", - "**Correct**: ✅\n", - "**Duration**: 8.01s\n", - "**Tool Calls**: {\n", - " \"calculator\": {\n", - " \"count\": 1,\n", - " \"durations\": [\n", - " 8.0108642578125e-05\n", - " ]\n", - " }\n", - "}\n", - "\n", - "**Reasoning**\n", - "N/A\n", - "\n", - "**Feedback**\n", - "The calculator tool worked well for this mathematical computation. The tool name \"calculator\" is clear and descriptive. The parameter \"expression\" is well-named and the description \"A mathematical expression\" is accurate, though it could be more detailed about what types of expressions are supported (arithmetic, functions, etc.). The tool correctly computed the result, though it returned a floating-point precision artifact (40.00000000000001 instead of exactly 40). For percentage calculations like this, it might be helpful if the tool could handle rounding to remove such precision errors automatically, or if the description mentioned this potential issue.\n", - "\n", - "---\n", - "\n", - "### Task\n", - "\n", - "**Prompt**: Convert 72 degrees Fahrenheit to Celsius. Round to 1 decimal place.\n", - "**Ground Truth Response**: `22.2`\n", - "**Actual Response**: `22.2`\n", - "**Correct**: ✅\n", - "**Duration**: 11.30s\n", - "**Tool Calls**: {\n", - " \"calculator\": {\n", - " \"count\": 3,\n", - " \"durations\": [\n", - " 8.20159912109375e-05,\n", - " 9.465217590332031e-05,\n", - " 8.273124694824219e-05\n", - " ]\n", - " }\n", - "}\n", - "\n", - "**Reasoning**\n", - "N/A\n", - "\n", - "**Feedback**\n", - "The calculator tool has some limitations that could be improved:\n", - "1. Tool name: \"calculator\" is clear and descriptive\n", - "2. Input parameters: The \"expression\" parameter is well-documented as \"A mathematical expression\" and it's clear that it's required\n", - "3. Description: \"A calculator\" is quite brief but adequately describes the basic function\n", - "4. Functionality limitations: The calculator doesn't support built-in functions like round(), which limits its usefulness for common mathematical operations that require rounding\n", - "5. Error handling: When I tried to use round(), it returned a clear error message which was helpful\n", - "6. Improvement suggestions: \n", - " - Add support for common mathematical functions like round(), floor(), ceil(), abs(), etc.\n", - " - Expand the description to mention what types of expressions are supported\n", - " - Consider adding examples of valid expressions in the parameter description\n", + "Improvement suggestions:\n", + "- Add documentation explaining the supported operations and syntax\n", + "- Support common mathematical functions like sqrt(), sin(), cos(), etc.\n", + "- Consider accepting multiple syntax styles for common operations like exponentiation\n", "\n", "---\n", "\n"