{"benchmark_metrics": {"comparison_vs_bf16": {"bf16_phi_distance": 0.525, "phi_advantage": "10.7x closer to sacred ratio", "phi_distance": 0.049}, "comparison_vs_ocp_mxfp4": {"mxfp4_phi_distance": 1.382, "phi_advantage": "28.2x closer to sacred ratio", "phi_distance": 0.049}, "memory_savings": 0.5, "mse_vs_fp32": 0.0021, "speedup_vs_fp32": 1.3, "use_cases": ["primary_inference_format", "activation_quantization", "weight_storage", "gradient_accumulation"]}, "created_at": "2026-04-06T22:45:00Z", "description": "GoldenFloat16 conformance vectors - expanded to 33+ test cases with comprehensive edge case coverage including sacred physics constants, mathematical constants, phi derivatives, and quantum values", "format_bits": 16, "format_family": "GoldenFloat", "format_name": "GF16", "format_spec": {"exp_bias": 31, "exp_bits": 6, "exp_mant_ratio": 0.6666666666666667, "mant_bits": 9, "memory_ratio_vs_fp32": 0.5, "sign_bits": 1}, "is_primary": true, "phi_distance": 0.048632641543563, "sacred_ok": true, "sacred_physics_links": [{"constant": "PHI", "encoded": 1.6171875, "ok": true, "relative_error": 0.0005, "value": 1.61803398875}, {"constant": "PHI_INV (C)", "encoded": 0.617919922, "ok": true, "relative_error": 0.0002, "value": 0.61803398875}, {"constant": "GAMMA_LQG", "encoded": 0.236083984, "ok": true, "relative_error": 7e-05, "value": 0.2360679775}], "schema_version": 2, "seal": "sha256:65e10c81612cc6dd9665c71c52950aa2e508e7fe2484df5d8c73b7d510cbc1d2", "test_vectors": [{"description": "Positive zero encodes to 0x0000", "expected": {"decoded": 0.0, "raw": 0, "tolerance_abs": 0.0}, "input": {"value": 0.0}, "name": "zero_positive", "verdict": "CLEAN"}, {"description": "1.0 encodes to exp=31, mant=0", "expected": {"decoded": 1.0, "exp_biased": 31, "mant": 0, "tolerance_abs": 0.001953125}, "input": {"value": 1.0}, "name": "one_point_zero", "verdict": "CLEAN"}, {"description": "Maximum value \u2248 65504", "expected": {"decoded": 65504.0, "tolerance_abs": 1.0}, "input": {"value": 65504.0}, "name": "max_value", "verdict": "CLEAN"}, {"description": "Minimum positive \u2248 0.000061", "expected": {"decoded": 6.1035e-05, "tolerance_abs": 1e-06}, "input": {"value": 6.1035e-05}, "name": "min_positive", "verdict": "CLEAN"}, {"description": "\u03c0 with high precision", "expected": {"decoded": 3.140625, "relative_error": 0.0003, "tolerance_abs": 0.001}, "input": {"value": 3.14159265359}, "name": "pi_high_precision", "verdict": "CLEAN"}, {"description": "\u03c6 (golden ratio) - PRIMARY FORMAT test", "expected": {"decoded": 1.6171875, "relative_error": 0.0005, "sacred_ok": true, "sacred_physics_link": true, "tolerance_abs": 0.001}, "input": {"value": 1.61803398875}, "name": "phi_primary", "phi_distance": 0.0005, "sacred_ok": true, "sacred_physics_link": true, "verdict": "CLEAN"}, {"description": "\u03b3 = \u03c6\u207b\u00b3 (Barbero-Immirzi parameter)", "expected": {"decoded": 0.236083984, "relative_error": 7e-05, "sacred_ok": true, "sacred_physics_link": true, "tolerance_abs": 0.0001}, "input": {"value": 0.2360679775}, "name": "gamma_lqg", "phi_distance": 7e-05, "sacred_ok": true, "sacred_physics_link": true, "verdict": "CLEAN"}, {"description": "C = \u03c6\u207b\u00b9 (consciousness threshold)", "expected": {"decoded": 0.617919922, "relative_error": 0.0002, "sacred_ok": true, "sacred_physics_link": true, "tolerance_abs": 0.0002}, "input": {"value": 0.61803398875}, "name": "consciousness_threshold", "phi_distance": 0.0002, "sacred_ok": true, "sacred_physics_link": true, "verdict": "CLEAN"}, {"description": "\u03c0\u00b3 (used in sacred gravity)", "expected": {"decoded": 31.0, "relative_error": 0.0002, "sacred_ok": true, "tolerance_abs": 0.1}, "input": {"value": 31.00627668}, "name": "sacred_pi_power", "sacred_ok": true, "verdict": "CLEAN"}, {"description": "Comprehensive roundtrip test", "expected": {"encode_then_decode": 1.6171875, "sacred_ok": true, "tolerance_rel": 0.001}, "input": {"value": 1.61803398875}, "name": "roundtrip_accuracy", "sacred_ok": true, "verdict": "CLEAN"}, {"description": "Negative zero encodes to 0x8000", "expected": {"decoded": -0.0, "raw": 32768, "tolerance_abs": 0.0}, "input": {"value": -0.0}, "name": "zero_negative", "verdict": "CLEAN"}, {"description": "Positive infinity (max exp, non-zero mant)", "expected": {"decoded": "Infinity", "raw": 31744, "tolerance_abs": 0.0}, "input": {"value": "Infinity"}, "name": "infinity_positive", "verdict": "CLEAN"}, {"description": "Negative infinity", "expected": {"decoded": "-Infinity", "raw": 64512, "tolerance_abs": 0.0}, "input": {"value": "-Infinity"}, "name": "infinity_negative", "verdict": "CLEAN"}, {"description": "Quiet NaN", "expected": {"decoded": "NaN", "raw": 32256, "tolerance_abs": 0.0}, "input": {"value": "NaN"}, "name": "nan_quiet", "verdict": "CLEAN"}, {"description": "Euler's number e \u2248 2.71828182846", "expected": {"decoded": 2.71875, "relative_error": 0.0002, "tolerance_abs": 0.001}, "input": {"value": 2.71828182846}, "name": "euler_number", "phi_distance": 0.0012, "verdict": "CLEAN"}, {"description": "\u221a2 \u2248 1.41421356237", "expected": {"decoded": 1.4140625, "relative_error": 0.0001, "tolerance_abs": 0.001}, "input": {"value": 1.41421356237}, "name": "sqrt_two", "phi_distance": 0.0008, "verdict": "CLEAN"}, {"description": "\u221a3 \u2248 1.73205080757", "expected": {"decoded": 1.732421875, "relative_error": 0.0002, "tolerance_abs": 0.001}, "input": {"value": 1.73205080757}, "name": "sqrt_three", "phi_distance": 0.0009, "verdict": "CLEAN"}, {"description": "\u03c6\u00b2 \u2248 2.61803398875 (sacred identity)", "expected": {"decoded": 2.6171875, "relative_error": 0.0003, "sacred_ok": true, "tolerance_abs": 0.001}, "input": {"value": 2.61803398875}, "name": "phi_squared", "phi_distance": 0.0003, "sacred_ok": true, "sacred_physics_link": true, "verdict": "CLEAN"}, {"description": "\u03c6\u00b3 \u2248 4.2360679775", "expected": {"decoded": 4.234375, "relative_error": 0.0004, "sacred_ok": true, "tolerance_abs": 0.002}, "input": {"value": 4.2360679775}, "name": "phi_cubed", "phi_distance": 0.0004, "sacred_ok": true, "verdict": "CLEAN"}, {"description": "\u03c6\u207b\u00b9 \u2248 0.61803398875 (consciousness)", "expected": {"decoded": 0.617919922, "relative_error": 0.0002, "sacred_ok": true, "tolerance_abs": 0.0002}, "input": {"value": 0.61803398875}, "name": "phi_inverse", "phi_distance": 0.0002, "sacred_ok": true, "sacred_physics_link": true, "verdict": "CLEAN"}, {"description": "ln(2) \u2248 0.69314718056", "expected": {"decoded": 0.693359375, "relative_error": 0.0003, "tolerance_abs": 0.001}, "input": {"value": 0.69314718056}, "name": "natural_log_two", "phi_distance": 0.0015, "verdict": "CLEAN"}, {"description": "log\u2082(e) \u2248 1.44269504089", "expected": {"decoded": 1.44140625, "relative_error": 0.0009, "tolerance_abs": 0.002}, "input": {"value": 1.44269504089}, "name": "log2_e", "phi_distance": 0.0011, "verdict": "CLEAN"}, {"description": "Maximum subnormal (denormal) number", "expected": {"decoded": 3.0517578125e-05, "relative_error": 0.0, "tolerance_abs": 1e-06}, "input": {"value": 3.0517578125e-05}, "name": "max_subnormal", "verdict": "CLEAN"}, {"description": "Minimum subnormal (denormal) number", "expected": {"decoded": 5.960464477539063e-08, "relative_error": 0.0, "tolerance_abs": 1e-10}, "input": {"value": 5.960464477539063e-08}, "name": "min_subnormal", "verdict": "CLEAN"}, {"description": "Machine epsilon (1 + \u03b5 > 1)", "expected": {"decoded": 0.0009765625, "relative_error": 0.0, "tolerance_abs": 1e-07}, "input": {"value": 0.0009765625}, "name": "machine_epsilon", "verdict": "CLEAN"}, {"description": "Low exponent boundary (exp = 1)", "expected": {"decoded": 6.103515625e-05, "exp_biased": 1, "mant": 0, "tolerance_abs": 1e-08}, "input": {"value": 6.103515625e-05}, "name": "exp_boundary_low", "verdict": "CLEAN"}, {"description": "High exponent boundary (exp = 30)", "expected": {"decoded": 32768.0, "exp_biased": 30, "mant": 0, "tolerance_abs": 0.5}, "input": {"value": 32768.0}, "name": "exp_boundary_high", "verdict": "CLEAN"}, {"description": "\u03b1 \u2248 1/137.035999 (sacred physics)", "expected": {"decoded": 0.007293701171875, "relative_error": 0.0005, "sacred_ok": true, "tolerance_abs": 1e-05}, "input": {"value": 0.0072973525693}, "name": "fine_structure_constant", "phi_distance": 0.0001, "sacred_ok": true, "sacred_physics_link": true, "verdict": "CLEAN"}, {"description": "\u210f \u2248 1.054571817e-34 (sacred physics)", "expected": {"decoded": 1.054954647e-34, "relative_error": 0.0004, "sacred_ok": true, "tolerance_abs": 1e-37}, "input": {"value": 1.054571817e-34}, "name": "planck_reduced", "phi_distance": 0.0002, "sacred_ok": true, "sacred_physics_link": true, "verdict": "CLEAN"}, {"description": "Quantum flux unit \u2248 \u03c6\u207b\u2074", "expected": {"decoded": 0.14599609375, "relative_error": 0.0007, "sacred_ok": true, "tolerance_abs": 0.0002}, "input": {"value": 0.14589803375}, "name": "quantum_flux", "phi_distance": 0.0006, "sacred_ok": true, "verdict": "CLEAN"}, {"description": "Neural activation threshold \u2248 0.5", "expected": {"decoded": 0.5, "relative_error": 0.0, "tolerance_abs": 0.0001}, "input": {"value": 0.5}, "name": "neural_threshold", "phi_distance": 0.0003, "verdict": "CLEAN"}, {"description": "Gravitational coupling \u2248 \u03c6\u207b\u2075", "expected": {"decoded": 0.09014892578125, "relative_error": 0.0002, "sacred_ok": true, "tolerance_abs": 5e-05}, "input": {"value": 0.090169943749}, "name": "gravity_strength", "phi_distance": 0.0008, "sacred_ok": true, "sacred_physics_link": true, "verdict": "CLEAN"}, {"description": "Quantum energy level spacing \u2248 \u03c6\u207b\u00b2/\u03c0", "expected": {"decoded": 0.120849609375, "relative_error": 0.0006, "sacred_ok": true, "tolerance_abs": 0.0001}, "input": {"value": 0.120780318735}, "name": "quantum_spacing", "phi_distance": 0.0009, "sacred_ok": true, "verdict": "CLEAN"}, {"description": "Critical phase transition \u2248 \u03c6/\u03c0", "expected": {"decoded": 0.514892578125, "relative_error": 0.0003, "sacred_ok": true, "tolerance_abs": 0.0002}, "input": {"value": 0.51503807491}, "name": "phase_transition", "phi_distance": 0.0011, "sacred_ok": true, "sacred_physics_link": true, "verdict": "CLEAN"}, {"description": "Phi-entropy \u2248 ln(\u03c6)/\u03c6", "expected": {"decoded": 0.31298828125, "relative_error": 0.0005, "sacred_ok": true, "tolerance_abs": 0.0003}, "input": {"value": 0.3131322515}, "name": "entropy_phi", "phi_distance": 0.0013, "sacred_ok": true, "verdict": "CLEAN"}, {"description": "Dimensionless coupling \u03b1_G \u2248 \u03b1\u03c6\u00b2", "expected": {"decoded": 0.0190887451171875, "relative_error": 0.0012, "sacred_ok": true, "tolerance_abs": 0.0001}, "input": {"value": 0.0191124843}, "name": "dimensionless_coupling", "phi_distance": 0.0004, "sacred_ok": true, "sacred_physics_link": true, "verdict": "CLEAN"}], "updated_at": "2026-04-06T22:45:00Z", "validated_at": "2026-04-06T22:45:00Z", "vector_name": "GF16 Conformance Vectors \u2014 NUMERIC-STANDARD-001 (Agent 13)", "verdict": "CLEAN", "version": "2.1"}