Average Error: 0.2 → 0.2
Time: 18.8s
Precision: 64
\[0 \lt m \land 0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[m \cdot \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right)\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
m \cdot \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right)
double f(double m, double v) {
        double r873858 = m;
        double r873859 = 1.0;
        double r873860 = r873859 - r873858;
        double r873861 = r873858 * r873860;
        double r873862 = v;
        double r873863 = r873861 / r873862;
        double r873864 = r873863 - r873859;
        double r873865 = r873864 * r873858;
        return r873865;
}
↓
double f(double m, double v) {
        double r873866 = m;
        double r873867 = 1.0;
        double r873868 = r873867 - r873866;
        double r873869 = r873866 * r873868;
        double r873870 = v;
        double r873871 = r873869 / r873870;
        double r873872 = r873871 - r873867;
        double r873873 = r873866 * r873872;
        return r873873;
}

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. Final simplification0.2

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

Reproduce

herbie shell --seed 2019130 
(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))