← Session 6 — Recover crashed run; plan all-forks execution
thinking (2018 chars)
Also `quad` for k=0 calls quad(0, h, 0) — quad_plain with peak=0: panels (lo, peak) empty, (peak, hi) = (0, h) ✓.
One more check — V4 mirror symmetry: cm vs cp[::-1]. E-010 verified v₋(x) = v₊(−x) to 7e-14. ✓.
Concern: `count_zeros` runs solve_v twice (cp, cm) plus build per theta — but build is cached by (a,h); solves are per call. For P1: 16 thetas × (2 solves of n=1199 bordered system) — n=1199 dense solve ~fast (<0.5s each). Plus V_of_z on 20000×1199 complex outer = 24M complex = 380MB per theta — 16 × matmul ~ fine.
zeros_theta0 for P3: z_max = 60, grid 20000. At a=10: zeros to 60: ~190 zeros — sign changes found on grid 0.003 spacing ✓.
P4: V_of_z on 96 complex ziy — cheap.
xi cross-check via flint: xi_flint uses (a/2).gamma() for a=2.5: gamma(1.25) fine; a.zeta() for a > 1 real ✓. F_imag uses mp.diff on xi_real — xi_real calls mp.zeta on real s > 1: accurate per corrected memory. OK.
Potential issue in P1: count_zeros computes W via |W_complex| minima — for theta near 0 or π the |W| near zeros... E-010 used the same for θ=π/2. OK.
Runtime rough: sieve ~1-3 min (Eratosthenes to 4.85e8 with slice marking — actually the slice marking loop to 22024 with big slices: total ~n log log n = 4.85e8 × 2 ops ~ fast in numpy maybe 30-60s; primes ~2.56e7 flatnonzero ~ seconds; prime powers 29 vectorized rounds ✓; cumsums 4.85e8 × 3 ~ 10-20s; np.sqrt(NS) 4.85e8 ~ seconds). Memory peak: is_comp 0.5GB + lam_log 3.9 + NS 3.9 + LAM 3.9 + LOG_NS 3.9 + C1 3.9 + C0 3.9 = 24GB + temporaries ~8GB = ~32GB. Should fit 64GB.
Builds: S_full for k up to n_elem = 2000 per (a,h) — each cheap after the cap. Toeplitz 1999² ~ 32MB ✓. Solves ~ 2000³/3 ~ seconds.
P1 at a=6: 16 thetas × 2 solves (n=1199) + grid matmuls — maybe 1-2 min total.
Total estimate: ~10 min. Within CLI 10-min limit? Risky — sieve + everything. Run detached with log. Actually try foreground first with 10-min timeout? If it gets killed at 10 min mid-run, no output lost (nothing written until end). Better: launch detached directly.
Launching E-014 detached (sieve + sweeps likely exceed the 10-min CLI cap).
tool: Bash ok
input
{
"command": "cd \"D:/Python/Quantum\" && ./.venv/Scripts/python.exe -c \"\nimport subprocess, sys\nf = open('research/numerics/data/E-014.log', 'w')\np = subprocess.Popen([sys.executable, 'research/numerics/scripts/E-014-cor16-diagnostics.py'],\n stdout=f, stderr=subprocess.STDOUT,\n creationflags=0x00000008 | 0x00000200)\nprint('detached pid:', p.pid)\n\"",
"description": "Launch E-014 detached with log file"
}
result 2026-08-18 08:18:37Z → 2026-08-28 22:19:40Z
put /app/web/dashboard/research_data.py (32127 B) put /app/web/dashboard/static/dashboard/style.css (16101 B) put /static/dashboard/style.css (16101 B) put /app/web/dashboard/templates/dashboard/base.html (3635 B) DONE uniform boxes: 48 / 8 / 3 (expect 48/8/3) asset version: True 1
raw content_json (database row)
[{"type":"thinking","thinking":"Also `quad` for k=0 calls quad(0, h, 0) — quad_plain with peak=0: panels (lo, peak) empty, (peak, hi) = (0, h) ✓.\n\nOne more check — V4 mirror symmetry: cm vs cp[::-1]. E-010 verified v₋(x) = v₊(−x) to 7e-14. ✓.\n\nConcern: `count_zeros` runs solve_v twice (cp, cm) plus build per theta — but build is cached by (a,h); solves are per call. For P1: 16 thetas × (2 solves of n=1199 bordered system) — n=1199 dense solve ~fast (<0.5s each). Plus V_of_z on 20000×1199 complex outer = 24M complex = 380MB per theta — 16 × matmul ~ fine.\n\nzeros_theta0 for P3: z_max = 60, grid 20000. At a=10: zeros to 60: ~190 zeros — sign changes found on grid 0.003 spacing ✓.\n\nP4: V_of_z on 96 complex ziy — cheap.\n\nxi cross-check via flint: xi_flint uses (a/2).gamma() for a=2.5: gamma(1.25) fine; a.zeta() for a > 1 real ✓. F_imag uses mp.diff on xi_real — xi_real calls mp.zeta on real s > 1: accurate per corrected memory. OK.\n\nPotential issue in P1: count_zeros computes W via |W_complex| minima — for theta near 0 or π the |W| near zeros... E-010 used the same for θ=π/2. OK.\n\nRuntime rough: sieve ~1-3 min (Eratosthenes to 4.85e8 with slice marking — actually the slice marking loop to 22024 with big slices: total ~n log log n = 4.85e8 × 2 ops ~ fast in numpy maybe 30-60s; primes ~2.56e7 flatnonzero ~ seconds; prime powers 29 vectorized rounds ✓; cumsums 4.85e8 × 3 ~ 10-20s; np.sqrt(NS) 4.85e8 ~ seconds). Memory peak: is_comp 0.5GB + lam_log 3.9 + NS 3.9 + LAM 3.9 + LOG_NS 3.9 + C1 3.9 + C0 3.9 = 24GB + temporaries ~8GB = ~32GB. Should fit 64GB.\n\nBuilds: S_full for k up to n_elem = 2000 per (a,h) — each cheap after the cap. Toeplitz 1999² ~ 32MB ✓. Solves ~ 2000³/3 ~ seconds.\n\nP1 at a=6: 16 thetas × 2 solves (n=1199) + grid matmuls — maybe 1-2 min total.\n\nTotal estimate: ~10 min. Within CLI 10-min limit? Risky — sieve + everything. Run detached with log. Actually try foreground first with 10-min timeout? If it gets killed at 10 min mid-run, no output lost (nothing written until end). Better: launch detached directly.","signature":""},{"type":"text","text":"Launching E-014 detached (sieve + sweeps likely exceed the 10-min CLI cap)."},{"type":"tool_use","id":"Bash_135","name":"Bash","input":{"command":"cd \"D:/Python/Quantum\" && ./.venv/Scripts/python.exe -c \"\nimport subprocess, sys\nf = open('research/numerics/data/E-014.log', 'w')\np = subprocess.Popen([sys.executable, 'research/numerics/scripts/E-014-cor16-diagnostics.py'],\n stdout=f, stderr=subprocess.STDOUT,\n creationflags=0x00000008 | 0x00000200)\nprint('detached pid:', p.pid)\n\"","description":"Launch E-014 detached with log file"},"extra_content":null}]