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E-023b — MZeroProp interval-rigorous box-cover certification

08-26-2026 · 8 rows · script research/numerics/scripts/E-023b-mzero-boxcover.py

Metadata

Validation checks

V1_fe_vs_mpmath_max_absdiff_lt_2e-6 PASS
V2_boxes_cover_[0,10]_exactly PASS
V3_certified_max_le_target PASS
V4_consistent_with_E023_sampled_1.33237 PASS

Key values

grid_max_upper1.3329998534172773361206054687500000000
grid_argmax0.8495500000000001
series_tail[8.036139000659258592860484308733579139e-7 +/- 4.72e-44]
certified_max[1.3330006570311774020464647547984308734 +/- 4.80e-38]
target1.3352
headroom[0.00219934296882259795353524520156912664 +/- 7.98e-39]
coverage10.000000000001068

Parameters

prec_bits128
coarse_half_width0.0005
min_half_width0.0000005
max_depth4
pass_level[1.3330000000000000000000000000000000000 +/- 5.00e-39]
series_N400
box_evaluations17570
boxes_recorded16813

Data preview (10 rows total)

quantityvalue
grid_max_upper1.3329998534172773361206054687500000000
grid_argmax0.8495500000000001
series_tail[8.036139000659258592860484308733579139e-7 +/- 4.72e-44]
certified_max[1.3330006570311774020464647547984308734 +/- 4.80e-38]
target1.3352
headroom[0.00219934296882259795353524520156912664 +/- 7.98e-39]
coverage10.000000000001068
box_evaluations17570
boxes_recorded16813
all_checks_passTrue