Distributed Discovery

Interactive model · DD-016

Threshold Lab

Move the minimum viable team size across the complete canonical phase diagram and inspect discovery, viable teams, and crowding in readable units.

Boxes16
Searchers8
Required team size τ2
Viable-team capacity ⌊N/τ⌋4
Choose a registered threshold
Download data

Showing the exact threshold-two row.

Primary discovery comparison

Planner discovery67.1%Exact: 223779310319051/333709716796875
Private discovery49.7%Exact: 194017/390625
Tied-mode discovery47.8%Exact: 275661897594857/576650390625000

Occupancy consequences

Expected viable candidates1.42Exact: 4605284003019928/3243658447265625
Failed subthreshold attempts0.297Exact: 964298146836472/3243658447265625
Excess overlap4.863Exact: 5258133808416224/1081219482421875

Discovery across τ=1 through 8

Planner, private clue-following, and tied-mode discovery share a probability axis. The selected threshold has outlined points; the exact table is the chart fallback.

PlannerPrivateTied mode
Discovery probability by minimum viable team sizeThree protocol lines across thresholds one through eight. Exact values are listed in the complete table.τ=1, planner 85.9%τ=1, private 83.2%τ=1, tied mode 51.4%1τ=2, planner 67.1%τ=2, private 49.7%τ=2, tied mode 47.8%2τ=3, planner 52.8%τ=3, private 20.3%τ=3, tied mode 43.9%3τ=4, planner 52.8%τ=4, private 5.6%τ=4, tied mode 39.3%4τ=5, planner 38.3%τ=5, private 1.0%τ=5, tied mode 34.6%5τ=6, planner 38.3%τ=6, private 0.1%τ=6, tied mode 31.2%6τ=7, planner 38.3%τ=7, private 0.0%τ=7, tied mode 29.5%7τ=8, planner 38.3%τ=8, private 0.0%τ=8, tied mode 29.1%8

Selected region: diversification-dominant. Threshold 2 is in the diversification-dominant region of this registered fixture: the planner benefits from forming the smallest viable teams and spreading them.

Complete exact table

Scroll horizontally to see every column.

Complete exact DD-016 threshold phase diagram
ThresholdPlanner discoveryPrivate discoveryTied-mode discoveryViable candidatesFailed attemptsExcess overlap
1860391662035297/1001129150390625325089/39062559256154944509/115330078125000222783285994256/1297463378906250815187417130744/129746337890625
2223779310319051/333709716796875194017/390625275661897594857/5766503906250004605284003019928/3243658447265625964298146836472/32436584472656255258133808416224/1081219482421875
3528127925854561/100112915039062579329/39062584376366171831/1922167968750001284074862342068/108121948242187554898155084976/720812988281251324686315358052/360406494140625
4528127925854561/10011291503906254397/78125226663708105069/576650390625000128118354108788/1297463378906251472738060581144/10812194824218758719217985502768/3243658447265625
537916217637/98876953125813/78125199635390150179/576650390625000104435456485774/1297463378906256786503944044832/32436584472656252036110524452806/1081219482421875
637916217637/98876953125481/39062559929770870521/192216796875000729565439572402/1081219482421875988606045686728/360406494140625435515028293468/360406494140625
737916217637/9887695312533/390625170263024140199/5766503906250001987836295049882/32436584472656253367538184394832/1081219482421875386359791918266/648731689453125
837916217637/988769531251/390625167595844231967/576650390625000386359791918266/6487316894531252098975180278872/6487316894531250

Evidence boundary

These controls select exact rows already present in the immutable DD-016 run. They do not recompute, interpolate, or change claim status.

DD-C-0073 · DD-C-0074 · 20260722T021526Z_DD-016_00271ff8_123b2809e3 · Download the Lab data

Relationship map

Related evidence

Download the validated relationship registry