Average Error: 0.1 → 0.1
Time: 6.8m
Precision: 64
\[0 \lt m \land 0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[\left(1 - m\right) \cdot \left(\frac{m}{\frac{v}{1 - m}} - 1\right)\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)
↓
\left(1 - m\right) \cdot \left(\frac{m}{\frac{v}{1 - m}} - 1\right)
double f(double m, double v) {
        double r17982658 = m;
        double r17982659 = 1.0;
        double r17982660 = r17982659 - r17982658;
        double r17982661 = r17982658 * r17982660;
        double r17982662 = v;
        double r17982663 = r17982661 / r17982662;
        double r17982664 = r17982663 - r17982659;
        double r17982665 = r17982664 * r17982660;
        return r17982665;
}
↓
double f(double m, double v) {
        double r17982666 = 1.0;
        double r17982667 = m;
        double r17982668 = r17982666 - r17982667;
        double r17982669 = v;
        double r17982670 = r17982669 / r17982668;
        double r17982671 = r17982667 / r17982670;
        double r17982672 = r17982671 - r17982666;
        double r17982673 = r17982668 * r17982672;
        return r17982673;
}

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. Using strategy rm

  3. Applied associate-/l*0.1

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

  4. Final simplification0.1

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

Reproduce

herbie shell --seed 2019107 
(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)))