Average Error: 0.2 → 0.3
Time: 6.0s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[\left(m \cdot \frac{1}{\frac{v}{1 - m}} - 1\right) \cdot m\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
\left(m \cdot \frac{1}{\frac{v}{1 - m}} - 1\right) \cdot m
double f(double m, double v) {
        double r21825 = m;
        double r21826 = 1.0;
        double r21827 = r21826 - r21825;
        double r21828 = r21825 * r21827;
        double r21829 = v;
        double r21830 = r21828 / r21829;
        double r21831 = r21830 - r21826;
        double r21832 = r21831 * r21825;
        return r21832;
}
↓
double f(double m, double v) {
        double r21833 = m;
        double r21834 = 1.0;
        double r21835 = v;
        double r21836 = 1.0;
        double r21837 = r21836 - r21833;
        double r21838 = r21835 / r21837;
        double r21839 = r21834 / r21838;
        double r21840 = r21833 * r21839;
        double r21841 = r21840 - r21836;
        double r21842 = r21841 * r21833;
        return r21842;
}

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. Using strategy rm

  5. Applied div-inv0.3

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

  6. Final simplification0.3

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

Reproduce

herbie shell --seed 2019322 
(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))