Average Error: 0.1 → 0.1
Time: 18.8s
Precision: 64
\[0 \lt m \land 0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)
↓
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)
double f(double m, double v) {
        double r962721 = m;
        double r962722 = 1.0;
        double r962723 = r962722 - r962721;
        double r962724 = r962721 * r962723;
        double r962725 = v;
        double r962726 = r962724 / r962725;
        double r962727 = r962726 - r962722;
        double r962728 = r962727 * r962723;
        return r962728;
}
↓
double f(double m, double v) {
        double r962729 = m;
        double r962730 = 1.0;
        double r962731 = r962730 - r962729;
        double r962732 = r962729 * r962731;
        double r962733 = v;
        double r962734 = r962732 / r962733;
        double r962735 = r962734 - r962730;
        double r962736 = r962735 * r962731;
        return r962736;
}

Error

Bits error versus m

Bits error versus v

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]

  2. Final simplification0.1

    \[\leadsto \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]

Reproduce

herbie shell --seed 2019129 
(FPCore (m v)
  :name "b parameter of renormalized beta distribution"
  :pre (and (< 0 m) (< 0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))