Function normal_two_sided_probability 

pub fn normal_two_sided_probability(z: f64) -> f64

Two-sided standard-normal probability P(|Z| ≥ |z|), evaluated directly without subtracting a CDF from one. Two-sided standard-normal probability P(|Z| ≥ |z|).

The exact symmetric identity is erfc(|z|/√2). Evaluating that identity directly avoids both the cancellation in 2·(1 − Φ(|z|)) and an unnecessary rounding from multiplying a one-sided tail by two.