Average Error: 0.2 → 0.2
Time: 18.7s
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 r680134 = m;
        double r680135 = 1.0;
        double r680136 = r680135 - r680134;
        double r680137 = r680134 * r680136;
        double r680138 = v;
        double r680139 = r680137 / r680138;
        double r680140 = r680139 - r680135;
        double r680141 = r680140 * r680134;
        return r680141;
}
↓
double f(double m, double v) {
        double r680142 = m;
        double r680143 = 1.0;
        double r680144 = r680143 - r680142;
        double r680145 = r680142 * r680144;
        double r680146 = v;
        double r680147 = r680145 / r680146;
        double r680148 = r680147 - r680143;
        double r680149 = r680142 * r680148;
        return r680149;
}

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 2019133 
(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))