Average Error: 0.2 → 0.2
Time: 4.0s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[\left(\frac{m}{\frac{v}{1 - m}} - 1\right) \cdot m\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
\left(\frac{m}{\frac{v}{1 - m}} - 1\right) \cdot m
double f(double m, double v) {
        double r12839 = m;
        double r12840 = 1.0;
        double r12841 = r12840 - r12839;
        double r12842 = r12839 * r12841;
        double r12843 = v;
        double r12844 = r12842 / r12843;
        double r12845 = r12844 - r12840;
        double r12846 = r12845 * r12839;
        return r12846;
}
↓
double f(double m, double v) {
        double r12847 = m;
        double r12848 = v;
        double r12849 = 1.0;
        double r12850 = r12849 - r12847;
        double r12851 = r12848 / r12850;
        double r12852 = r12847 / r12851;
        double r12853 = r12852 - r12849;
        double r12854 = r12853 * r12847;
        return r12854;
}

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 0.2

    \[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
  2. Using strategy rm

  3. Applied associate-/l*0.2

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

  4. Final simplification0.2

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

Reproduce

herbie shell --seed 2020065 
(FPCore (m v)
  :name "a parameter of renormalized beta distribution"
  :precision binary64
  :pre (and (< 0.0 m) (< 0.0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) m))