Average Error: 0.2 → 0.2
Time: 19.4s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[\left(\frac{1}{\frac{v}{m \cdot \left(1 - m\right)}} - 1\right) \cdot m\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
\left(\frac{1}{\frac{v}{m \cdot \left(1 - m\right)}} - 1\right) \cdot m
double f(double m, double v) {
        double r1781416 = m;
        double r1781417 = 1.0;
        double r1781418 = r1781417 - r1781416;
        double r1781419 = r1781416 * r1781418;
        double r1781420 = v;
        double r1781421 = r1781419 / r1781420;
        double r1781422 = r1781421 - r1781417;
        double r1781423 = r1781422 * r1781416;
        return r1781423;
}
↓
double f(double m, double v) {
        double r1781424 = 1.0;
        double r1781425 = v;
        double r1781426 = m;
        double r1781427 = 1.0;
        double r1781428 = r1781427 - r1781426;
        double r1781429 = r1781426 * r1781428;
        double r1781430 = r1781425 / r1781429;
        double r1781431 = r1781424 / r1781430;
        double r1781432 = r1781431 - r1781427;
        double r1781433 = r1781432 * r1781426;
        return r1781433;
}

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 clear-num0.2

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

  4. Final simplification0.2

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

Reproduce

herbie shell --seed 2019174 
(FPCore (m v)
  :name "a parameter of renormalized beta distribution"
  :pre (and (< 0.0 m) (< 0.0 v) (< v 0.25))
  (* (- (/ (* m (- 1.0 m)) v) 1.0) m))