Average Error: 0.2 → 0.2
Time: 20.5s
Precision: 64
\[0 \lt m \land 0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[m \cdot \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right)\]
\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 r819133 = m;
        double r819134 = 1.0;
        double r819135 = r819134 - r819133;
        double r819136 = r819133 * r819135;
        double r819137 = v;
        double r819138 = r819136 / r819137;
        double r819139 = r819138 - r819134;
        double r819140 = r819139 * r819133;
        return r819140;
}
↓
double f(double m, double v) {
        double r819141 = m;
        double r819142 = 1.0;
        double r819143 = r819142 - r819141;
        double r819144 = r819141 * r819143;
        double r819145 = v;
        double r819146 = r819144 / r819145;
        double r819147 = r819146 - r819142;
        double r819148 = r819141 * r819147;
        return r819148;
}

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 2019163 +o rules:numerics
(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))