single_eml_frequency1 grammar nodes1 paramsEML-shaped scan
Best gamma
14.087044
MSE
5.339289
Error vs gamma1
0.047682
EML-A2EML_PRIME_RESIDUAL_BENCHMARK_PASScandidate benchmarkno RH claimEML Prime Residual Benchmark
A fixed-fixture grammar scan over the Chebyshev psi residual, comparing one EML-shaped frequency parameter with a profiled standard trigonometric basis.
Samples
800
x range
4-120
Primes <= x max
30
Known gamma1
14.134725
profiled_sqrt_cos_sin5 grammar nodes3 paramsStandard profiled scan
Best gamma
13.929465
MSE
5.253005
Error vs gamma1
0.205260
interpretation
On this fixed psi(x)-x fixture, the EML-shaped one-parameter scan lands closer to the first known zeta-zero frequency; the profiled standard basis has lower MSE because it fits two amplitudes at each frequency.
EML closer: truestandard lower MSE: truenull acceptable: truecontrols
| Control | EML gamma | Standard gamma | Status |
|---|---|---|---|
| shuffled_residual | 25.588235 | 5.000000 | context_only |
| gaussian_bumps | 5.963705 | 5.000000 | context_only |
non-claims
- This benchmark does not prove RH.
- This benchmark does not discover zeta zeros.
- This benchmark does not prove an EML grammar theorem.
- This benchmark does not promote any Atlas entry publicly.
- This benchmark does not change Forge/compiler behavior.
- Null results are acceptable for future runs.