| { |
| "status": "PASS", |
| "scope": "Arithmetic-engine validation and independent high-precision scalar diagnostics of the complete disk-bound certificate.", |
| "summary": { |
| "all_assertions_passed": true, |
| "exact_sqrt_enclosure_cases": 305, |
| "decimal_precisions": [ |
| 80, |
| 120 |
| ], |
| "negative_radical_rejected": true, |
| "division_through_zero_rejected": true, |
| "all_final_scalar_margins_positive": true |
| }, |
| "diagnostics": [ |
| { |
| "precision": 80, |
| "positive_values": { |
| "packing_reward_contradiction_margin": "4.65776869959719519498148727627887147111207680916834156849522289315254446E-14", |
| "additive_monotonicity_slack": "1.1040550423546012677419362381545298846248940873722852411472230837976980735E-7", |
| "final_eta_positive_for_W_at_most_delta": "0.008376981703278569892634370387684799208316384091678138230961712833474574851779965", |
| "eta_positive_at_certified_initial_reward": "0.008376981555087781933217923018645171252691500676119886340923130185488784324263634", |
| "neighbor_branch_dominates_on_whole_eta_interval": "0.7421883672665025707600920831487493121487978784442651391030603132912157816002761", |
| "opposed_second_derivative_positive_on_whole_eta_interval": "15.988693843688057670184156100444596291277933278798301314389142358984416742007905", |
| "opposed_localized_projection_slack": "0.39178732395100406046653116659869238818001834509964329881980047929375407544691813", |
| "neighbor_localized_projection_slack": "0.008609487978439670644205241512118910089416641473128377025212572373765966476511516", |
| "near_coefficient_dominates_far": "6357.8919187362738628647189329760572352478904245376190373360972552965881760611144" |
| }, |
| "certified_initial_packing_reward": "0.0000026864358465776869959719519498148727627887147111207680916834156849522289315254446" |
| }, |
| { |
| "precision": 120, |
| "positive_values": { |
| "packing_reward_contradiction_margin": "4.657768699597195194981487276278871471112076809168341568495222893152544423853215691965446940095288285640870904147E-14", |
| "additive_monotonicity_slack": "1.10405504235460126774193623815452988462489408737228524114722308379769807528727366540558515070227852573441770211285E-7", |
| "final_eta_positive_for_W_at_most_delta": "0.00837698170327856989263437038768479920831638409167813823096171283347457485177996521271922648335764780847049207121844435235", |
| "eta_positive_at_certified_initial_reward": "0.0083769815550877819332179230186451712526915006761198863409231301854887843242636353937305667680053843747090838961135284484", |
| "neighbor_branch_dominates_on_whole_eta_interval": "0.74218836726650257076009208314874931214879787844426513910306031329121578160027586964020271661761195489653255926073959274", |
| "opposed_second_derivative_positive_on_whole_eta_interval": "15.9886938436880576701841561004445962912779332787983013143891423589844167420079026846653858948552785030878058970273362056", |
| "opposed_localized_projection_slack": "0.391787323951004060466531166598692388180018345099643298819800479293754075446918138724313998913344134338772081611911747985", |
| "neighbor_localized_projection_slack": "0.0086094879784396706442052415121189100894166414731283770252125723737659664765115142522685933458807249288170544089905569214", |
| "near_coefficient_dominates_far": "6357.89191873627386286471893297605723524789042453761903733609725529658817606111429835293773767612587572274605388691871519" |
| }, |
| "certified_initial_packing_reward": "0.00000268643584657768699597195194981487276278871471112076809168341568495222893152544423853215691965446940095288285640870904147" |
| } |
| ] |
| } |
|
|
