Average Error: 0.2 → 0.2
Time: 20.2s
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 r819130 = m;
        double r819131 = 1.0;
        double r819132 = r819131 - r819130;
        double r819133 = r819130 * r819132;
        double r819134 = v;
        double r819135 = r819133 / r819134;
        double r819136 = r819135 - r819131;
        double r819137 = r819136 * r819130;
        return r819137;
}
↓
double f(double m, double v) {
        double r819138 = m;
        double r819139 = 1.0;
        double r819140 = r819139 - r819138;
        double r819141 = r819138 * r819140;
        double r819142 = v;
        double r819143 = r819141 / r819142;
        double r819144 = r819143 - r819139;
        double r819145 = r819138 * r819144;
        return r819145;
}

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))