Dataset: timetravel_insurance
Round ID: 278
Prompt used:
You are given two numeric values for an entity: “TimelineDeviation” (T) and “ParadoxCount” (P). Using the rules below in the exact order, decide whether to label the entity as “Approved” or “Denied.” Your output should be only the word “Approved” or “Denied.”
Rules:
1) If T < 8:
a) If P ≥ 8, label “Approved.”
b) Otherwise, label “Denied.”
(Rationale: Even with very low timelines, an extremely high paradox count can justify approval.)
2) Else if 8 ≤ T < 10:
a) If P ≥ 6, label “Approved.”
b) Otherwise, label “Denied.”
(Rationale: Slightly raised the paradox threshold in this range to reduce false approvals.)
3) Else if T > 16:
a) If P < 2, label “Denied.”
b) Otherwise, label “Approved.”
(Rationale: We still deny extremely high T with too few paradoxes, but approve otherwise.)
4) Else if 10 ≤ T < 12:
a) If P ≥ 4.5, label “Approved.”
b) Otherwise, label “Denied.”
(Rationale: Maintains a proven threshold in the 10–12 range.)
5) Else if 12 ≤ T < 13:
a) If P ≥ 8, label “Denied.”
(Rationale: Extremely high paradox counts in this narrow range can lead to paradoxical instability, so we deny.)
b) Else if P ≥ 4, label “Approved.”
(Rationale: This fixes previous false denials when P was around 6–7.)
c) Otherwise, label “Denied.”
(Rationale: We continue to deny lower paradox counts here.)
6) Else if 13 ≤ T ≤ 16:
a) If T ≥ 15 AND P < 3, label “Denied.”
(Rationale: Very high T near 15 with too few paradoxes is still denied.)
b) Else if P ≥ 8, label “Approved.”
(Rationale: Extremely large paradox count is approved in this range.)
c) Else if P ≥ 6, label “Denied.”
(Rationale: Moderate paradox counts at higher T caused false positives previously, so we deny these.)
d) Otherwise, label “Approved.”
(Rationale: Everything else in 13–16 is generally approved unless it meets the exceptions above.)
Remember: Apply these rules in order and output only “Approved” or “Denied.”
Confusion Matrix:
Predicted Approved Predicted Denied
Actual Approved 7 2
Actual Denied 2 9
Accuracy: 0.800
Precision: 0.778
Recall: 0.778
F1 Score: 0.778
Examples for Correctly predicted Approved: (Correct answer: Approved, What the previous set of rules predicted: Approved)
Entity Data:
TimelineDeviation: 11.124919
ParadoxCount: 6.3591957
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: 8.337469
ParadoxCount: 6.267838
Examples for Correctly predicted Denied: (Correct answer: Denied, What the previous set of rules predicted: Denied)
Entity Data:
TimelineDeviation: 13.023456
ParadoxCount: 6.9185414
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: 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: 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: 10.494729
ParadoxCount: 1.0958244
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: 16.56909
ParadoxCount: 7.107604
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: 8.813088
ParadoxCount: 5.151609
Examples for Correctly predicted Denied: (Correct answer: Denied, What the previous set of rules predicted: Denied)
Entity Data:
TimelineDeviation: 11.322671
ParadoxCount: 1.2654697
| Predicted + | Predicted - | |
|---|---|---|
| Actual + | 7 | 2 |
| Actual - | 2 | 9 |
Accuracy 0.800, Precision 0.778, Recall 0.778, F1 0.778