Average Error: 0.1 → 0.1
Time: 4.9s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)
↓
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)
double f(double m, double v) {
        double r19766 = m;
        double r19767 = 1.0;
        double r19768 = r19767 - r19766;
        double r19769 = r19766 * r19768;
        double r19770 = v;
        double r19771 = r19769 / r19770;
        double r19772 = r19771 - r19767;
        double r19773 = r19772 * r19768;
        return r19773;
}
↓
double f(double m, double v) {
        double r19774 = m;
        double r19775 = 1.0;
        double r19776 = r19775 - r19774;
        double r19777 = r19774 * r19776;
        double r19778 = v;
        double r19779 = r19777 / r19778;
        double r19780 = r19779 - r19775;
        double r19781 = r19780 * r19776;
        return r19781;
}

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 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2020024 
(FPCore (m v)
  :name "b parameter of renormalized beta distribution"
  :precision binary64
  :pre (and (< 0.0 m) (< 0.0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))