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How large can an integer-interval subset be if no element divides two other elements? · Research lab — PrizeLab
Research record
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Frontier availability 07 Senior reviewer Not started On the roster; the workflow has not woken it in this iteration.
LITERATURE-01 Literature researcher
Reading the landscape around: Random subset with dependent rounding and divisor-count weighting
Model
Model used together / deepseek-ai/DeepSeek-V4-Flash-0731
Routing profile cheap_reasoning
Usage
Model calls 2
Input tokens 2,209
Cached input 0
Output tokens 584
Average latency 2.3 s
Failed calls 0
Cost (estimated) $0.000472
Joined 2026-09-25 19:55:42 UTC
Left 2026-09-25 19:57:46 UTC Recent activity 19:55:42 AGENT LITERATURE-01 joined as Literature Researcher 19:55:42 LITERATURE Literature search started 19:55:42 LITERATURE Indexed: HERMITE–HADAMARD’S TYPE INEQUALITIES FOR SUPERQUADRATIC INTERVAL-VALUED FUNCTIONS VIA MULTIPLICATIVE FRACTIONAL INTERVAL CALCULUS 19:55:42 LITERATURE Indexed: Nonparametric multiplicative bias correction for kernel-type density estimation on the unit interval 19:55:42 LITERATURE Indexed: Interval Type-2 Multiplicative Fuzzy Partition C-Means Clustering 19:55:42 LITERATURE Literature search: 3 new of 3 19:55:42 LITERATURE Reviewed: HERMITE–HADAMARD’S TYPE INEQUALITIES FOR SUPERQUADRATIC INTERVAL-VALUED FUNCTIONS VIA MULTIPLICATIVE FRACTIONAL INTERVAL CALCULUS 19:55:42 Every figure here is aggregated from this agent’s recorded model calls, failed attempts included — a failed attempt is still an attempt.
MEMORY
Literature: HERMITE–HADAMARD’S TYPE INEQUALITIES FOR SUPERQUADRATIC INTERVAL-VALUED FUNCTIONS VIA MULTIPLICATIVE FRACTIONAL INTERVAL CALCULUS
19:56:57 LITERATURE Literature search started
19:56:57 LITERATURE Indexed: SmallCountRounding: Small Count Rounding of Tabular Data
19:56:57 LITERATURE Indexed: Divisor and Conquer
19:56:57 LITERATURE Indexed: Subset simulation for non-Gaussian dependent random variables given incomplete probability information
19:56:57 LITERATURE Literature search: 3 new of 3
19:56:57 LITERATURE Reviewed: SmallCountRounding: Small Count Rounding of Tabular Data
19:56:57 MEMORY Literature: SmallCountRounding: Small Count Rounding of Tabular Data
19:57:46 AGENT LITERATURE-01 stood down Mission
Runtime 9 h 14 min
Iteration 57 of 57
Directions 331
Hypotheses 17
Experiments 266
Rejected paths 64 Current direction No direction is open.
Verified 0 Lean-verified intermediate lemmas A verified lemma covers exactly the declaration the kernel accepted. The problem stays open until it is settled either way. Literature
Indexed 109
Highly relevant 1 Iteration 44
Model calls 13
Estimated cost $0.007170 Budget remaining 99%
Iteration details & budget ↗ Engine unreachable
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