Six wrong normalization formulas passed a correctness check

An original synthetic reproduction of SOL-ExecBench issue #25 on CPU and CUDA: identity-valued inputs hid six affine errors. Small elementwise perturbations exposed all six while preserving the copied expected-output control. One synthetic CPU float32 case (4×64, seed 42): all six deliberately incorrect affine formulas were accepted with identity inputs, and none with varied inputs. The copied-reference control passed both. Original issue reported by zzw4257; Nodus CPU reproduction. No GPU performance or training benefit measured. Key takeaways All six deliberately incorrect formulas passed with identity affine inputs and failed after the input change in our synthetic CPU case and separate CUDA confirmation. A random activation tensor does not test whether a program uses its weights and biases correctly. Those parameters must exercise the behavior being checked. These are correctness-generator observations on one synthetic workload, with separate CPU and CUDA results.