Average Error: 0.2 → 0.2
Time: 7.4s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[\left(\frac{m}{\frac{v}{1 - m}} - 1\right) \cdot m\]
\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 r24910 = m;
        double r24911 = 1.0;
        double r24912 = r24911 - r24910;
        double r24913 = r24910 * r24912;
        double r24914 = v;
        double r24915 = r24913 / r24914;
        double r24916 = r24915 - r24911;
        double r24917 = r24916 * r24910;
        return r24917;
}
↓
double f(double m, double v) {
        double r24918 = m;
        double r24919 = v;
        double r24920 = 1.0;
        double r24921 = r24920 - r24918;
        double r24922 = r24919 / r24921;
        double r24923 = r24918 / r24922;
        double r24924 = r24923 - r24920;
        double r24925 = r24924 * r24918;
        return r24925;
}

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 2020033 +o rules:numerics
(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))