Average Error: 0.2 → 0.2
Time: 49.5s
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 r1786504 = m;
        double r1786505 = 1.0;
        double r1786506 = r1786505 - r1786504;
        double r1786507 = r1786504 * r1786506;
        double r1786508 = v;
        double r1786509 = r1786507 / r1786508;
        double r1786510 = r1786509 - r1786505;
        double r1786511 = r1786510 * r1786504;
        return r1786511;
}
↓
double f(double m, double v) {
        double r1786512 = m;
        double r1786513 = r1786512 * r1786512;
        double r1786514 = r1786512 - r1786513;
        double r1786515 = v;
        double r1786516 = r1786512 / r1786515;
        double r1786517 = r1786514 * r1786516;
        double r1786518 = r1786517 - r1786512;
        return r1786518;
}

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 2019104 
(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))