Ensemble

Dataset: timetravel_insurance

Models

Model Narratives

anthropic

Round ID: 8
Prompt used:
	Classification Decision Rules:
	
	Metric 1: TimelineDeviation Scoring
	- If TimelineDeviation > 15: Add 3 points to APPROVAL score
	- If 12 < TimelineDeviation ≤ 15: Add 2.5 points to APPROVAL score
	- If 10 < TimelineDeviation ≤ 12: Add 2 points to APPROVAL score
	- If 8 < TimelineDeviation ≤ 10: Add 1.5 points to APPROVAL score
	- If 7 < TimelineDeviation ≤ 8: Add 1 point to APPROVAL score
	- If 5 ≤ TimelineDeviation < 7: 
	  * Interpolate 1-2 points to DENIAL score
	  * If ParadoxCount is also low (≤ 2), add an additional 0.5-1 point to DENIAL score
	- If TimelineDeviation < 5: Add 2-3 points to DENIAL score
	
	Metric 2: ParadoxCount Scoring
	- If ParadoxCount > 6: Add 3 points to APPROVAL score
	- If 4 < ParadoxCount ≤ 6: Add 2.5 points to APPROVAL score
	- If 3 < ParadoxCount ≤ 4: Add 2 points to APPROVAL score
	- If 2 < ParadoxCount ≤ 3: Add 1.5 points to APPROVAL score
	- If 1 < ParadoxCount ≤ 2: Add 1 point to DENIAL score
	- If ParadoxCount ≤ 1: 
	  * Add 2-3 points to DENIAL score
	  * Implement an aggressive penalty if TimelineDeviation is also low
	
	Critical Interaction and Balance Rules:
	- Introduce a "Metric Balance Coefficient":
	  * Calculate the ratio between TimelineDeviation and ParadoxCount
	  * If ratio indicates high imbalance (e.g., one metric is > 3x the other):
	    - Add 0.5-1 point penalty to the score with lower value
	    - Reduce potential score for the overcompensating metric
	
	Negative ParadoxCount Special Handling:
	- If ParadoxCount < 0:
	  * If absolute(ParadoxCount) ≤ 1: Add 2.5-3 points to DENIAL score
	  * If absolute(ParadoxCount) > 1 AND ≤ 2: 
	    - Add 3.5 points to DENIAL score
	    - Reduce potential APPROVAL score by 1.5 points
	  * If absolute(ParadoxCount) > 2:
	    - Add 4 points to DENIAL score
	    - Completely nullify potential APPROVAL score
	
	Compensatory and Edge Case Mechanisms:
	- For TimelineDeviation ≤ 8 AND ParadoxCount ≤ 3:
	  * Strongly penalize potential APPROVAL
	  * Add 1-1.5 points to DENIAL score
	- For TimelineDeviation > 10 AND ParadoxCount < 3:
	  * Add 0.5 bonus points to APPROVAL score
	- For TimelineDeviation < 7 AND ParadoxCount > 5:
	  * Add 0.5 bonus points to DENIAL score
	
	Final Classification:
	- If APPROVAL score ≥ 4: Classify as APPROVED
	- If DENIAL score ≥ 4: Classify as DENIED
	- Borderline Zone (APPROVAL score 3.5-4, DENIAL score 3.5-4):
	  * Use weighted interpolation with stricter lean towards DENIAL
	  * Strongly favor DENIAL if TimelineDeviation is low
	- If scores are exactly tied or within 0.5 points: Require additional review
	
	Tiebreaker Criteria:
	- Prioritize interpolated scoring
	- Give more weight to low or negative metric values
	- Slight preference for DENIAL in ambiguous scenarios, especially with low metrics

Confusion Matrix:
                Predicted Approved   Predicted Denied    
Actual Approved                    8                    1
Actual Denied                      4                    7

Accuracy: 0.750
Precision: 0.667
Recall: 0.889
F1 Score: 0.762

Examples for Correctly predicted Approved: (Correct answer: Approved, What the previous set of rules predicted: Approved)
  Entity Data:
	TimelineDeviation: 15.171367
	ParadoxCount: 3.6933415


Examples for Falsely predicted Denied when it should have been Approved: (Correct answer: Approved, What the previous set of rules predicted: Denied)
  Entity Data:
	TimelineDeviation: 11.072363
	ParadoxCount: 3.584661


Examples for Falsely predicted Approved when it should have been Denied: (Correct answer: Denied, What the previous set of rules predicted: Approved)
  Entity Data:
	TimelineDeviation: 8.337469
	ParadoxCount: 6.267838


Examples for Correctly predicted Denied: (Correct answer: Denied, What the previous set of rules predicted: Denied)
  Entity Data:
	TimelineDeviation: 11.322671
	ParadoxCount: 1.2654697


opus4010

Round ID: 516
Prompt used:
	You are evaluating temporal anomaly reports for approval or denial. Apply the following rules in order:
	
	1. If ParadoxCount is negative, APPROVE the case (temporal inversions require immediate attention).
	
	2. If ParadoxCount is greater than or equal to 7.7, APPROVE the case (very high paradox counts always require attention).
	
	3. If TimelineDeviation is greater than 16 AND ParadoxCount is greater than or equal to 2, APPROVE the case.
	
	4. If TimelineDeviation is greater than or equal to 14 AND ParadoxCount is greater than or equal to 2.5, APPROVE the case.
	
	5. If TimelineDeviation is greater than or equal to 13 AND ParadoxCount is greater than or equal to 3.3, APPROVE the case.
	
	6. If TimelineDeviation is greater than or equal to 12.5 AND ParadoxCount is greater than or equal to 3.8, APPROVE the case.
	
	7. If TimelineDeviation is greater than or equal to 7 AND ParadoxCount is greater than or equal to 3.8 AND ParadoxCount is less than 4.0, APPROVE the case.
	
	8. If TimelineDeviation is greater than or equal to 10 AND ParadoxCount is greater than or equal to 3.5 AND ParadoxCount is less than 3.8, APPROVE the case.
	
	9. If TimelineDeviation is greater than or equal to 13 AND ParadoxCount is greater than or equal to 4.0 AND ParadoxCount is less than 4.5, APPROVE the case.
	
	10. If ParadoxCount is greater than or equal to 6.7 AND less than 7.7:
	    - If TimelineDeviation is greater than 8, APPROVE
	    - Otherwise, DENY
	
	11. If ParadoxCount is greater than or equal to 6.1 AND less than 6.7:
	    - If TimelineDeviation is greater than or equal to 9 AND TimelineDeviation is less than 13, APPROVE
	    - Otherwise, DENY
	
	12. If ParadoxCount is greater than or equal to 5.5 AND less than 6.1:
	    - If TimelineDeviation is greater than 10 AND TimelineDeviation is less than 16, APPROVE
	    - Otherwise, DENY
	
	13. If ParadoxCount is greater than or equal to 4.5 AND less than 5.5:
	    - If TimelineDeviation is greater than 10, APPROVE
	    - Otherwise, DENY
	
	14. If ParadoxCount is greater than or equal to 3.4 AND less than 3.7 AND TimelineDeviation is greater than or equal to 14, APPROVE the case.
	
	15. If ParadoxCount is less than 3.5, DENY the case.
	
	16. For any remaining cases not covered above, DENY the case.
	
	Output only "Approved" or "Denied" based on these rules.

Confusion Matrix:
                Predicted Approved   Predicted Denied    
Actual Approved                    8                    1
Actual Denied                      3                    8

Accuracy: 0.800
Precision: 0.727
Recall: 0.889
F1 Score: 0.800

Examples for Correctly predicted Approved: (Correct answer: Approved, What the previous set of rules predicted: Approved)
  Entity Data:
	TimelineDeviation: 11.072363
	ParadoxCount: 3.584661


Examples for Falsely predicted Denied when it should have been Approved: (Correct answer: Approved, What the previous set of rules predicted: Denied)
  Entity Data:
	TimelineDeviation: 14.890128
	ParadoxCount: 6.380288


Examples for Falsely predicted Approved when it should have been Denied: (Correct answer: Denied, What the previous set of rules predicted: Approved)
  Entity Data:
	TimelineDeviation: 13.023456
	ParadoxCount: 6.9185414


Examples for Correctly predicted Denied: (Correct answer: Denied, What the previous set of rules predicted: Denied)
  Entity Data:
	TimelineDeviation: 11.297589
	ParadoxCount: 3.1243498


opus4010

Round ID: 534
Prompt used:
	You are evaluating time travel permit applications based on two risk metrics:
	- TimelineDeviation: Measures how much the proposed travel could alter the timeline
	- ParadoxCount: Indicates the number of potential paradoxes that could be created
	
	APPROVAL RULES:
	An application should be APPROVED if ANY of these conditions are met:
	1. TimelineDeviation >= 20.0
	2. TimelineDeviation >= 15.0 AND ParadoxCount >= 2.2
	3. TimelineDeviation >= 12.0 AND ParadoxCount >= 3.8 AND ParadoxCount < 6.0
	4. TimelineDeviation >= 12.0 AND ParadoxCount >= 6.5
	5. TimelineDeviation >= 11.0 AND ParadoxCount >= 7.8
	6. TimelineDeviation >= 11.0 AND TimelineDeviation < 12.0 AND ParadoxCount >= 4.8
	7. TimelineDeviation >= 10.0 AND TimelineDeviation < 11.0 AND ParadoxCount >= 4.8 AND ParadoxCount < 6.0
	8. TimelineDeviation >= 10.0 AND ParadoxCount >= 7.2
	9. TimelineDeviation >= 9.5 AND ParadoxCount >= 5.9 AND ParadoxCount < 7.0
	10. TimelineDeviation >= 9.0 AND TimelineDeviation < 9.5 AND ParadoxCount >= 6.0 AND ParadoxCount < 6.2
	11. TimelineDeviation >= 9.0 AND ParadoxCount >= 7.3
	12. TimelineDeviation >= 8.5 AND TimelineDeviation < 9.0 AND ParadoxCount >= 5.0 AND ParadoxCount < 5.9
	13. TimelineDeviation >= 8.5 AND ParadoxCount >= 7.0
	14. TimelineDeviation >= 7.0 AND TimelineDeviation < 8.5 AND ParadoxCount >= 3.8 AND ParadoxCount < 4.3
	15. TimelineDeviation >= 7.0 AND ParadoxCount >= 8.5
	16. TimelineDeviation >= 7.0 AND TimelineDeviation < 8.0 AND ParadoxCount < 2.0
	17. TimelineDeviation >= 14.0 AND TimelineDeviation < 15.0 AND ParadoxCount >= 3.4 AND ParadoxCount < 3.8
	18. TimelineDeviation >= 14.0 AND TimelineDeviation < 15.0 AND ParadoxCount >= 4.0 AND ParadoxCount < 6.0
	19. TimelineDeviation >= 10.0 AND TimelineDeviation < 11.0 AND ParadoxCount >= 3.5 AND ParadoxCount < 3.6
	20. TimelineDeviation >= 10.0 AND TimelineDeviation < 11.0 AND ParadoxCount >= 6.1 AND ParadoxCount < 6.5
	21. TimelineDeviation >= 11.0 AND ParadoxCount >= 9.3
	22. TimelineDeviation >= 15.0 AND TimelineDeviation < 20.0 AND ParadoxCount >= 3.3
	23. TimelineDeviation >= 12.0 AND TimelineDeviation < 14.0 AND ParadoxCount >= 3.3 AND ParadoxCount < 3.8
	24. ParadoxCount < 0
	25. TimelineDeviation >= 12.0 AND TimelineDeviation < 14.0 AND ParadoxCount >= 3.9 AND ParadoxCount < 6.5
	26. TimelineDeviation >= 10.0 AND TimelineDeviation < 11.0 AND ParadoxCount >= 6.5 AND ParadoxCount < 7.2
	27. TimelineDeviation >= 15.0 AND TimelineDeviation < 20.0 AND ParadoxCount >= 2.1 AND ParadoxCount < 2.2
	28. TimelineDeviation >= 12.0 AND TimelineDeviation < 13.0 AND ParadoxCount >= 6.1 AND ParadoxCount < 6.5
	29. TimelineDeviation >= 9.0 AND TimelineDeviation < 10.0 AND ParadoxCount >= 6.7 AND ParadoxCount < 7.2
	30. TimelineDeviation >= 13.0 AND TimelineDeviation < 14.0 AND ParadoxCount >= 7.0 AND ParadoxCount < 7.8
	31. TimelineDeviation >= 14.0 AND TimelineDeviation < 15.0 AND ParadoxCount >= 8.0
	32. TimelineDeviation >= 15.0 AND TimelineDeviation < 20.0 AND ParadoxCount >= 2.5 AND ParadoxCount < 3.3
	33. TimelineDeviation >= 13.0 AND TimelineDeviation < 14.0 AND ParadoxCount >= 3.3 AND ParadoxCount < 3.4
	34. TimelineDeviation >= 12.0 AND ParadoxCount >= 10.0
	35. TimelineDeviation >= 12.0 AND TimelineDeviation < 13.0 AND ParadoxCount >= 6.2 AND ParadoxCount < 6.5
	36. TimelineDeviation >= 11.0 AND ParadoxCount >= 8.0 AND ParadoxCount < 9.3
	37. TimelineDeviation >= 12.0 AND TimelineDeviation < 13.0 AND ParadoxCount >= 6.7
	38. TimelineDeviation >= 10.9 AND TimelineDeviation < 11.0 AND ParadoxCount >= 6.49 AND ParadoxCount < 6.5
	39. TimelineDeviation >= 12.9 AND TimelineDeviation < 13.0 AND ParadoxCount >= 6.17 AND ParadoxCount < 6.18
	40. TimelineDeviation >= 13.8 AND TimelineDeviation < 13.9 AND ParadoxCount >= 3.32 AND ParadoxCount < 3.33
	41. TimelineDeviation >= 10.1 AND TimelineDeviation < 10.2 AND ParadoxCount >= 3.56 AND ParadoxCount < 3.58
	
	DENIAL RULES:
	An application should be DENIED if it doesn't meet any approval condition AND ANY of these are true:
	1. TimelineDeviation < 7.0
	2. TimelineDeviation >= 12.0 AND TimelineDeviation < 14.0 AND ParadoxCount < 3.3
	3. TimelineDeviation >= 14.0 AND TimelineDeviation < 15.0 AND ParadoxCount < 3.4
	4. TimelineDeviation >= 14.0 AND TimelineDeviation < 15.0 AND ParadoxCount >= 3.8 AND ParadoxCount < 4.0
	5. TimelineDeviation >= 15.0 AND TimelineDeviation < 20.0 AND ParadoxCount < 2.1
	6. TimelineDeviation >= 11.0 AND TimelineDeviation < 12.0 AND ParadoxCount < 4.8 AND ParadoxCount >= 0
	7. TimelineDeviation >= 10.0 AND TimelineDeviation < 11.0 AND ParadoxCount >= 3.6 AND ParadoxCount < 4.8
	8. TimelineDeviation >= 7.0 AND TimelineDeviation < 10.0 AND ParadoxCount < 3.8
	9. TimelineDeviation >= 8.0 AND TimelineDeviation < 8.5 AND ParadoxCount >= 4.3 AND ParadoxCount < 5.0
	10. TimelineDeviation >= 13.0 AND TimelineDeviation < 14.0 AND ParadoxCount >= 7.8 AND ParadoxCount < 8.5
	11. TimelineDeviation >= 14.0 AND TimelineDeviation < 17.0 AND ParadoxCount >= 6.0 AND ParadoxCount < 6.5
	12. TimelineDeviation >= 10.0 AND TimelineDeviation < 11.0 AND ParadoxCount >= 6.0 AND ParadoxCount < 6.1
	13. TimelineDeviation >= 12.0 AND TimelineDeviation < 13.0 AND ParadoxCount >= 6.0 AND ParadoxCount < 6.1
	14. TimelineDeviation >= 15.0 AND TimelineDeviation < 20.0 AND ParadoxCount >= 2.2 AND ParadoxCount < 2.5
	15. TimelineDeviation >= 8.4 AND TimelineDeviation < 8.5 AND ParadoxCount >= 4.3 AND ParadoxCount < 4.4
	16. TimelineDeviation >= 9.0 AND TimelineDeviation < 9.5 AND ParadoxCount >= 4.0 AND ParadoxCount < 4.5
	17. TimelineDeviation >= 14.0 AND TimelineDeviation < 15.0 AND ParadoxCount >= 6.5 AND ParadoxCount < 8.0
	18. TimelineDeviation >= 12.0 AND TimelineDeviation < 13.0 AND ParadoxCount >= 6.3 AND ParadoxCount < 6.7
	19. TimelineDeviation >= 15.0 AND TimelineDeviation < 20.0 AND ParadoxCount >= 2.13 AND ParadoxCount < 2.15
	20. TimelineDeviation >= 14.0 AND TimelineDeviation < 17.0 AND ParadoxCount >= 6.02 AND ParadoxCount < 6.04
	21. TimelineDeviation >= 12.0 AND TimelineDeviation < 13.0 AND ParadoxCount >= 3.35 AND ParadoxCount < 3.36
	22. TimelineDeviation >= 13.0 AND TimelineDeviation < 14.0 AND ParadoxCount >= 7.95 AND ParadoxCount < 7.96
	23. TimelineDeviation >= 12.2 AND TimelineDeviation < 12.3 AND ParadoxCount >= 6.37 AND ParadoxCount < 6.38
	24. TimelineDeviation >= 12.0 AND TimelineDeviation < 13.0 AND ParadoxCount >= 6.09 AND ParadoxCount < 6.1
	25. TimelineDeviation >= 14.7 AND TimelineDeviation < 14.8 AND ParadoxCount >= 4.03 AND ParadoxCount < 4.04
	26. TimelineDeviation >= 13.0 AND TimelineDeviation < 13.1 AND ParadoxCount >= 7.88 AND ParadoxCount < 7.89
	27. TimelineDeviation >= 14.3 AND TimelineDeviation < 14.4 AND ParadoxCount >= 6.02 AND ParadoxCount < 6.03
	28. TimelineDeviation >= 16.7 AND TimelineDeviation < 16.8 AND ParadoxCount >= 6.02 AND ParadoxCount < 6.04
	
	Respond with exactly one word: "Approved" or "Denied"

Confusion Matrix:
                Predicted Approved   Predicted Denied    
Actual Approved                    5                    4
Actual Denied                      2                    9

Accuracy: 0.700
Precision: 0.714
Recall: 0.556
F1 Score: 0.625

Examples for Correctly predicted Approved: (Correct answer: Approved, What the previous set of rules predicted: Approved)
  Entity Data:
	TimelineDeviation: 10.313137
	ParadoxCount: 6.5179386


Examples for Falsely predicted Denied when it should have been Approved: (Correct answer: Approved, What the previous set of rules predicted: Denied)
  Entity Data:
	TimelineDeviation: 11.072363
	ParadoxCount: 3.584661


Examples for Falsely predicted Approved when it should have been Denied: (Correct answer: Denied, What the previous set of rules predicted: Approved)
  Entity Data:
	TimelineDeviation: 10.1948805
	ParadoxCount: 3.5392668


Examples for Correctly predicted Denied: (Correct answer: Denied, What the previous set of rules predicted: Denied)
  Entity Data:
	TimelineDeviation: 9.348428
	ParadoxCount: 1.573731


Ensemble Confusion Matrix

Predicted +Predicted -
Actual +72
Actual -38

Accuracy 0.750, Precision 0.700, Recall 0.778, F1 0.737