Average Error: 0.1 → 0.1
Time: 27.9s
Precision: 64
\[0 \lt m \land 0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[\left(1 - m\right) \cdot \left(\frac{m}{\frac{v}{1 - m}} - 1\right)\]
\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 r1050616 = m;
        double r1050617 = 1.0;
        double r1050618 = r1050617 - r1050616;
        double r1050619 = r1050616 * r1050618;
        double r1050620 = v;
        double r1050621 = r1050619 / r1050620;
        double r1050622 = r1050621 - r1050617;
        double r1050623 = r1050622 * r1050618;
        return r1050623;
}
↓
double f(double m, double v) {
        double r1050624 = 1.0;
        double r1050625 = m;
        double r1050626 = r1050624 - r1050625;
        double r1050627 = v;
        double r1050628 = r1050627 / r1050626;
        double r1050629 = r1050625 / r1050628;
        double r1050630 = r1050629 - r1050624;
        double r1050631 = r1050626 * r1050630;
        return r1050631;
}

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 2019142 
(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)))