Average Error: 0.2 → 0.2
Time: 37.7s
Precision: 64
\[0 \lt m \land 0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[m \cdot \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right)\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
m \cdot \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right)
double f(double m, double v) {
        double r565891 = m;
        double r565892 = 1.0;
        double r565893 = r565892 - r565891;
        double r565894 = r565891 * r565893;
        double r565895 = v;
        double r565896 = r565894 / r565895;
        double r565897 = r565896 - r565892;
        double r565898 = r565897 * r565891;
        return r565898;
}
↓
double f(double m, double v) {
        double r565899 = m;
        double r565900 = 1.0;
        double r565901 = r565900 - r565899;
        double r565902 = r565899 * r565901;
        double r565903 = v;
        double r565904 = r565902 / r565903;
        double r565905 = r565904 - r565900;
        double r565906 = r565899 * r565905;
        return r565906;
}

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 *-un-lft-identity0.2

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

  4. Applied associate-*r*0.2

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

  5. Simplified0.2

    \[\leadsto \color{blue}{\left(\frac{m}{\frac{v}{1 - m}} - 1\right)} \cdot m\]
  6. Using strategy rm

  7. Applied *-un-lft-identity0.2

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

  8. Applied associate-*r*0.2

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

  9. Simplified0.2

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

  10. Final simplification0.2

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

Reproduce

herbie shell --seed 2019143 
(FPCore (m v)
  :name "a parameter of renormalized beta distribution"
  :pre (and (< 0 m) (< 0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) m))