Average Error: 0.2 → 0.2
Time: 58.4s
Precision: 64
\[0 \lt m \land 0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[\left(m - m \cdot m\right) \cdot \frac{m}{v} - m\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
\left(m - m \cdot m\right) \cdot \frac{m}{v} - m
double f(double m, double v) {
        double r3191110 = m;
        double r3191111 = 1.0;
        double r3191112 = r3191111 - r3191110;
        double r3191113 = r3191110 * r3191112;
        double r3191114 = v;
        double r3191115 = r3191113 / r3191114;
        double r3191116 = r3191115 - r3191111;
        double r3191117 = r3191116 * r3191110;
        return r3191117;
}
↓
double f(double m, double v) {
        double r3191118 = m;
        double r3191119 = r3191118 * r3191118;
        double r3191120 = r3191118 - r3191119;
        double r3191121 = v;
        double r3191122 = r3191118 / r3191121;
        double r3191123 = r3191120 * r3191122;
        double r3191124 = r3191123 - r3191118;
        return r3191124;
}

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 0.2

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

  2. Simplified0.2

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

  3. Final simplification0.2

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

Reproduce

herbie shell --seed 2019124 
(FPCore (m v)
  :name "a parameter of renormalized beta distribution"
  :pre (and (< 0 m) (< 0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) m))