Average Error: 0.1 → 0.1
Time: 1.1m
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 r4959886 = m;
        double r4959887 = 1.0;
        double r4959888 = r4959887 - r4959886;
        double r4959889 = r4959886 * r4959888;
        double r4959890 = v;
        double r4959891 = r4959889 / r4959890;
        double r4959892 = r4959891 - r4959887;
        double r4959893 = r4959892 * r4959888;
        return r4959893;
}
↓
double f(double m, double v) {
        double r4959894 = m;
        double r4959895 = 1.0;
        double r4959896 = r4959895 - r4959894;
        double r4959897 = r4959894 * r4959896;
        double r4959898 = v;
        double r4959899 = r4959897 / r4959898;
        double r4959900 = r4959899 - r4959895;
        double r4959901 = r4959900 * r4959896;
        return r4959901;
}

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 2019119 
(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)))