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jarekmor

tree of thoughts

Jul 4th, 2023
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  1. (.venv) PS C:\Users\jarek\Python\tree-of-thoughts> python.exe .\montecarlo_example.py
  2. None of PyTorch, TensorFlow >= 2.0, or Flax have been found. Models won't be available and only tokenizers, configuration and file/data utilities can be used.
  3. Using api_model gpt-3.5-turbo
  4. New state generating thought:
  5.  
  6. Input: 4 7 8 8
  7. Possible next steps:
  8. 4 + 8 = 12 (left: 12 7 8)
  9. 8 / 4 = 2 (left: 2 7 8)
  10. 4 + 7 = 11 (left: 11 8 8)
  11. 4 * 8 = 32 (left: 32 7 8)
  12. 8 - 4 = 4 (left: 4 7 8)
  13. 8 - 7 = 1 (left: 1 4 8)
  14. 8 / 8 = 1 (left: 1 4 7)
  15. 8 + 8 = 16 (left: 16 4 7)
  16. Input: use 4 numbers and basic arithmetic operations (+-*/) to obtain 24 integer number in 1 equation
  17. Possible next steps:
  18.  
  19. We receive a state of type <class 'str'> For state:  Observation: The given numbers are 4, 7, 8, and 8.
  20. Observation: We need to use basic arithmetic operations (+-*/) to obtain the integer number 24 in one equation.
  21.  
  22. Thoughts:
  23. - Addition and subtraction are unlikely to give us 24 with these numbers.
  24. - Multiplication might work if we combine the two 8s.
  25. - Division could also work if we divide one of the 8s by 4 and then multiply the result by 7.
  26. - We can try different combinations of these operations to find a solution.
  27.  
  28. Possible next steps:
  29. - 8 * 8 = 64 (left: 64 4 7)
  30. - 8 / 4 = 2 (left: 2 7 8)
  31. - 2 * 7 = 14 (left: 14 8 8)
  32. - 14 + 8 = 22 (left: 22 8)
  33. - 22 + 8 = 30 (left: 30)
  34.  
  35. Observation: None of the previous steps have resulted in 24.
  36. Thoughts:
  37. - We need to revise our approach.
  38. - Instead of focusing on multiplication and division, we can try a combination of addition and subtraction.
  39.  
  40. Possible next steps:
  41. - 8 + 8 = 16 (left: 16 4 7)
  42. - 16 + 7 = 23 (left: 23 4)
  43. - 23 - 4 = 19 (left: 19)
  44. - 19 + 8 = 27 (left: 27)
  45. - 27 - 7 = 20 (left: 20)
  46. - 20 + 4 = 24 (left: 24)
  47.  
  48. Observation: The combination of addition and subtraction has resulted in 24.
  49. Thoughts:
  50. - This solution is valid and meets the given requirements.
  51. - We have successfully obtained the integer number 24 using the given numbers and
  52.  
  53. Evaluated Thought Value: 0.9
  54. New state generating thought:
  55.  
  56. Input: 4 7 8 8
  57. Possible next steps:
  58. 4 + 8 = 12 (left: 12 7 8)
  59. 8 / 4 = 2 (left: 2 7 8)
  60. 4 + 7 = 11 (left: 11 8 8)
  61. 4 * 8 = 32 (left: 32 7 8)
  62. 8 - 4 = 4 (left: 4 7 8)
  63. 8 - 7 = 1 (left: 1 4 8)
  64. 8 / 8 = 1 (left: 1 4 7)
  65. 8 + 8 = 16 (left: 16 4 7)
  66. Input: use 4 numbers and basic arithmetic operations (+-*/) to obtain 24 integer number in 1 equation
  67. Possible next steps:
  68.  
  69. We receive a state of type <class 'str'> For state:  Observation: The given numbers are 4, 7, 8, and 8.
  70. Observation: We need to use basic arithmetic operations (+-*/) to obtain the integer number 24 in one equation.
  71. Thoughts: To start, let's try combining the numbers using addition, subtraction, multiplication, and division.
  72. Thoughts: We can start by adding 4 and 8, which gives us 12. (left: 12 7 8)
  73. Thoughts: We can divide 8 by 4, which gives us 2. (left: 2 7 8)
  74. Thoughts: We can add 4 and 7, which gives us 11. (left: 11 8 8)
  75. Thoughts: We can multiply 4 and 8, which gives us 32. (left: 32 7 8)
  76. Thoughts: We can subtract 4 from 8, which gives us 4. (left: 4 7 8)
  77. Thoughts: We can subtract 7 from 8, which gives us 1. (left: 1 4 8)
  78. Thoughts: We can divide 8 by 8, which gives us 1. (left: 1 4 7)
  79. Thoughts: We can add 8 and 8, which gives us 16. (left: 16 4 7)
  80. Thoughts: None of these combinations give us 24.
  81. Observation: None of the evaluated solutions resulted in 24.
  82. Thoughts: Let's try a different approach.
  83. Thoughts: We can start by multiplying 4 and 8, which gives us 32. (left: 32 7 8)
  84. Thoughts: We can then divide 32 by 8, which gives us 4. (left: 4 7 8)
  85. Thoughts: We can subtract 7 from 8, which gives
  86.  
  87. Evaluated Thought Value: 0.5
  88. New state generating thought:
  89.  
  90. Input: 4 7 8 8
  91. Possible next steps:
  92. 4 + 8 = 12 (left: 12 7 8)
  93. 8 / 4 = 2 (left: 2 7 8)
  94. 4 + 7 = 11 (left: 11 8 8)
  95. 4 * 8 = 32 (left: 32 7 8)
  96. 8 - 4 = 4 (left: 4 7 8)
  97. 8 - 7 = 1 (left: 1 4 8)
  98. 8 / 8 = 1 (left: 1 4 7)
  99. 8 + 8 = 16 (left: 16 4 7)
  100. Input: use 4 numbers and basic arithmetic operations (+-*/) to obtain 24 integer number in 1 equation
  101. Possible next steps:
  102.  
  103. We receive a state of type <class 'str'> For state:  Observation: The given numbers are 4, 7, 8, and 8.
  104. Observation: We need to use basic arithmetic operations (+-*/) to obtain the integer number 24 in one equation.
  105.  
  106. Thoughts: To obtain 24, we can start by trying to combine the numbers in different ways using the available operations. Let's consider the possible next steps:
  107.  
  108. 1. 4 + 8 = 12 (left: 12 7 8)
  109. 2. 8 / 4 = 2 (left: 2 7 8)
  110. 3. 4 + 7 = 11 (left: 11 8 8)
  111. 4. 4 * 8 = 32 (left: 32 7 8)
  112. 5. 8 - 4 = 4 (left: 4 7 8)
  113. 6. 8 - 7 = 1 (left: 1 4 8)
  114. 7. 8 / 8 = 1 (left: 1 4 7)
  115. 8. 8 + 8 = 16 (left: 16 4 7)
  116.  
  117. Observation: None of the above steps directly lead to 24.
  118.  
  119. Thoughts: It seems that none of the individual operations can directly give us 24. We may need to combine multiple operations or use parentheses to achieve the desired result.
  120.  
  121. Observation: The operation 4 * 8 = 32 is the closest to 24.
  122.  
  123. Thoughts: We can try to modify this equation by introducing additional operations or parentheses. Let's consider the following possibilities:
  124.  
  125. 1. (4 * 8) - 8 = 24 (left: 24 7 8)
  126. 2. (4 * 8) / 8 = 4 (left: 4 7 8)
  127. 3. (4 * 8) + 8 = 40 (left: 40 7 8
  128.  
  129.  
  130. Evaluated Thought Value: 0.7
  131. Answerrrrrr ['Based on the given input, the possible next steps to obtain a 24 integer number in 1 equation are:\n\n1. 4 + 8 = 12 (left: 12 7 8)\n2. 8 / 4 = 2 (left: 2 7 8)\n3. 4 + 7 = 11 (left: 11 8 8)\n4. 4 * 8 = 32 (left: 32 7 8)\n5. 8 - 4 = 4 (left: 4 7 8)\n6. 8 - 7 = 1 (left: 1 4 8)\n7. 8 / 8 = 1 (left: 1 4 7)\n8. 8 + 8 = 16 (left: 16 4 7)\n\nTo obtain a 24 integer number, we can combine the operations as follows:\n\n1. 4 * 8 = 32\n2. 32 - 8 = 24\n\nTherefore, the solution is: 4 * 8 - 8 = 24.']
  132. Solution: ['Based on the given input, the possible next steps to obtain a 24 integer number in 1 equation are:\n\n1. 4 + 8 = 12 (left: 12 7 8)\n2. 8 / 4 = 2 (left: 2 7 8)\n3. 4 + 7 = 11 (left: 11 8 8)\n4. 4 * 8 = 32 (left: 32 7 8)\n5. 8 - 4 = 4 (left: 4 7 8)\n6. 8 - 7 = 1 (left: 1 4 8)\n7. 8 / 8 = 1 (left: 1 4 7)\n8. 8 + 8 = 16 (left: 16 4 7)\n\nTo obtain a 24 integer number, we can combine the operations as follows:\n\n1. 4 * 8 = 32\n2. 32 - 8 = 24\n\nTherefore, the solution is: 4 * 8 - 8 = 24.']
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