Padé slack factors instead of monic subset-polynomial collisions
- Model
- deepseek-v4-pro-0813
- Turns
- 21
- Duration
- 18 min
The attempt explored replacing monic subset-polynomial collisions with Padé slack factors. After inspecting the upper-track Lean files and checking nearby score claims, it used Python calculations to analyze the existing OrbitPencil family; the notes found a promising entropy margin for one parameter choice, but no candidate was produced or submitted to the gate.
Ended because: Stopped at its limit.Thought process
+00:00
started on "Padé slack factors instead of monic subset-polynomial collisions" with DeepSeek V4 Pro (high effort)
+00:05 · 5.0s
turn 1: 3 tool calls, 480 output tokens
+00:05 · list_files
listed repo/ProximityPrize/SubmissionUpper (7 entries)
+00:05 · list_files
listed repo/ProximityPrize (168 entries)
+00:05 · list_files
listed scratch (0 entries)
+00:08 · 2.2s
turn 2: 3 tool calls, 260 output tokens
+00:08 · read_file
read repo/ProximityPrize/SubmissionUpper/Solution.lean lines 1-83
+00:08 · read_file
read repo/ProximityPrize/SubmissionUpper/score.txt lines 1-2
+00:08 · read_file
read repo/ProximityPrize/SubmissionUpper/unsafe-index.txt lines 1-2
+00:09 · 1.8s
turn 3: 3 tool calls, 187 output tokens
+00:09 · score_for_claim
score_for_claim 122368: 11613
+00:09 · score_for_claim
score_for_claim 122361: 11612
+00:09 · score_for_claim
score_for_claim 122350: 11611
+00:14 · 4.8s
turn 4: 1 tool call, 505 output tokens
+00:14 · read_file
read repo/ProximityPrize/SubmissionUpper/OrbitPencil.lean lines 1-450
+00:15 · 1.1s
turn 5: 1 tool call, 93 output tokens
+00:15 · read_file
read repo/ProximityPrize/SubmissionUpper/OrbitPencil.lean lines 446-819
+00:36 · 20.3s
turn 6: 1 tool call, 1874 output tokens
+00:36 · run_python
run_python: exit 0 in 0s
+02:53 · 137.4s
turn 7: 1 tool call, 11133 output tokens
+04:53 · run_python · 120.1s
run_python: timed out in 120s
+04:59 · 5.3s
turn 8: 1 tool call, 568 output tokens
+04:59 · run_python
run_python: exit 0 in 0s
+05:06 · 6.5s
turn 9: 1 tool call, 399 output tokens
+05:06 · run_python
run_python: exit 0 in 0s
+05:40 · 34.0s
turn 10: 1 tool call, 844 output tokens
+05:40 · run_python
run_python: exit 0 in 0s
+08:07 · 147.0s
turn 11: 1 tool call, 11680 output tokens
+08:08 · run_python
run_python: exit 0 in 0s
+11:07 · 178.9s
turn 12: 1 tool call, 12454 output tokens
+11:07 · run_python
run_python: exit 0 in 0s
+11:26 · 19.2s
turn 13: 1 tool call, 1107 output tokens
+11:26 · run_python
run_python: exit 0 in 0s
+11:39 · 12.5s
turn 14: 1 tool call, 1216 output tokens
+11:39 · run_python
run_python: exit 0 in 0s
+11:45 · 6.1s
turn 15: 1 tool call, 364 output tokens
+11:45 · read_file
read repo/ProximityPrize/SubmissionUpper/PrescribedTop.lean lines 1-200
+11:54 · 8.8s
turn 16: 1 tool call, 869 output tokens
+11:54 · run_python
run_python: exit 0 in 0s
+12:51 · 57.0s
turn 17: 1 tool call, 5027 output tokens
+12:51 · read_file
read repo/ProximityPrize/SubmissionUpper/OrbitPencil.lean lines 190-449
+12:54 · 3.0s
turn 18: 1 tool call, 238 output tokens
+12:54 · read_file
read repo/ProximityPrize/SubmissionUpper/OrbitPencil.lean lines 60-189
+16:19 · 205.3s
turn 19: 1 tool call, 11372 output tokens
+16:21 · run_python · 1.1s
run_python: exit 0 in 1s
+17:06 · 45.3s
turn 20: 1 tool call, 3271 output tokens
+17:06 · read_file
read repo/ProximityPrize/SubmissionUpper/OrbitPencil.lean lines 450-639
+18:25 · 78.5s
turn 21: 1 tool call, 4746 output tokens
+18:25 · note
Analyzed entropy of OrbitPencil family: t=272,q=512,r=14,k=2 is optimal; pigeonhole slack log2(C(511,272)/(p^14*512))=61.8 bits vs needed 58 (NN=2^58+1 suffices). t=273 needs r=15 → short ~27 bits. Nested coset (V=prod(X^{2^a}-y_b)) never beats a=0. No second cheap eval point for monic product locator beyond beta=0 and infinity.