{"key":"pb-1","blend":{"g":1.5,"where_applied":"first own trade of a step with 0.001<pi<0.999; other calls use the single Q2 lookup","fixed_point":"WAD. Each branch gives clamped log distances xb=-ln(1-fb), xa=-ln(1-fa) (cap -ln(0.9)); wA=pi^1.5/(pi^1.5+(1-pi)^1.5) with pi^1.5=pi*isqrt(pi)/U; x=(wA*xA+(U-wA)*xR)/U; fee=1-exp(-x). Arb branch: table 0, sd 0, m=lp. Retail branch: m=mt, v=vt, table 1 or 2 from a hypothetical rival."},"cost_paired":{"n":1024,"mean_diff":0.26437374328084423,"se":0.016250395093799015,"sum":270.7187131195845,"sumsq":348.2035708693482,"worst5":[[60036,-3.403],[60805,-1.313],[60139,-1.277],[60318,-1.265],[60540,-1.255]],"candidate":"gb:GaussianBlend soft=1 bw=1.5 qm=x_c2.json (Q2 expanded tables)","baseline":"gauss soft=1 qm=qm_k1e-5.json, run fresh on the same seeds","seeds":"60000..61023 in 256-seed commands, replica"},"parity":{"callbacks":215003,"max_fee_diff_bps":2.84168e-09,"over_0_01_bps":0,"seeds":"10000..10019"},"gas":{"peak_afterswap":167214,"mean_afterswap":65970,"oog":0,"reverts":0},"stress":{"sequences":64,"reverts":0,"peak_gas":157232,"oog":0,"calls":16384},"validate":"pass","bytes_runtime":21915,"codecopy_in_runtime":0,"dropped":{"what":"nothing: no phase-0 band column, rival column or sd level beyond Q2","measured_cost":0},"complete":true,"code_zb64":"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","code_sha256":"b29fa4ff5d0bbf6df20bee81a45dcfea5d20f90cc5c9a2000ace9ea28185c246","notes":"Python reference is gb.py (blend artifact, unchanged) with Q2's expanded tables (qm=x_c2.json, soft=1, bw=1.5). ref/gauss_qm.json holds only seeds 10000..12047, so the baseline on 60000..61023 was a fresh run of gauss soft=1 qm=qm_k1e-5.json. Blend applies on first trades of a step with 1e-3<pi<0.999 (5,700 of 9,061 callbacks on seed 10000); those calls pay one extra table quote. Persistent state keeps the hard-choice update. Beyond the blend: stored fees are the log distances -x instead of log1m(fee), ln(d) uses logReserve, and lnWad is gone. Q2's 57 CODECOPY reads came from solc's constant optimizer moving the all-0x40 table word into a data segment. Masking table bytes with XOR 0x40 removes them (0 CODECOPY in the runtime, confirmed by an opcode walk), and it saved 2,526 bytes. Runtime is 21,915 bytes, 2,661 spare, so nothing was dropped. Spare bytes could hold more sd levels. No engine seed consumed. Engine pairing against IB is not part of this item and was not run."}