Average Error: 0.1 → 0.1
Time: 3.4s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[\left(\frac{m}{\frac{v}{1 - m}} - 1\right) \cdot \left(1 - m\right)\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)
↓
\left(\frac{m}{\frac{v}{1 - m}} - 1\right) \cdot \left(1 - m\right)
double f(double m, double v) {
        double r10830 = m;
        double r10831 = 1.0;
        double r10832 = r10831 - r10830;
        double r10833 = r10830 * r10832;
        double r10834 = v;
        double r10835 = r10833 / r10834;
        double r10836 = r10835 - r10831;
        double r10837 = r10836 * r10832;
        return r10837;
}
↓
double f(double m, double v) {
        double r10838 = m;
        double r10839 = v;
        double r10840 = 1.0;
        double r10841 = r10840 - r10838;
        double r10842 = r10839 / r10841;
        double r10843 = r10838 / r10842;
        double r10844 = r10843 - r10840;
        double r10845 = r10844 * r10841;
        return r10845;
}

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

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

Reproduce

herbie shell --seed 2020059 
(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)))