Average Error: 0.2 → 0.2
Time: 5.8s
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 r14852 = m;
        double r14853 = 1.0;
        double r14854 = r14853 - r14852;
        double r14855 = r14852 * r14854;
        double r14856 = v;
        double r14857 = r14855 / r14856;
        double r14858 = r14857 - r14853;
        double r14859 = r14858 * r14852;
        return r14859;
}
↓
double f(double m, double v) {
        double r14860 = m;
        double r14861 = v;
        double r14862 = 1.0;
        double r14863 = r14862 - r14860;
        double r14864 = r14861 / r14863;
        double r14865 = r14860 / r14864;
        double r14866 = r14865 - r14862;
        double r14867 = r14866 * r14860;
        return r14867;
}

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 2020001 +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))