Average Error: 0.1 → 0.1
Time: 19.9s
Precision: 64
\[0 \lt m \land 0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
\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 r1079727 = m;
        double r1079728 = 1.0;
        double r1079729 = r1079728 - r1079727;
        double r1079730 = r1079727 * r1079729;
        double r1079731 = v;
        double r1079732 = r1079730 / r1079731;
        double r1079733 = r1079732 - r1079728;
        double r1079734 = r1079733 * r1079729;
        return r1079734;
}
↓
double f(double m, double v) {
        double r1079735 = m;
        double r1079736 = 1.0;
        double r1079737 = r1079736 - r1079735;
        double r1079738 = r1079735 * r1079737;
        double r1079739 = v;
        double r1079740 = r1079738 / r1079739;
        double r1079741 = r1079740 - r1079736;
        double r1079742 = r1079741 * r1079737;
        return r1079742;
}

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 2019163 +o rules:numerics
(FPCore (m v)
  :name "b parameter of renormalized beta distribution"
  :pre (and (< 0 m) (< 0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))