Average Error: 0.2 → 0.2
Time: 41.7s
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 r2169358 = m;
        double r2169359 = 1.0;
        double r2169360 = r2169359 - r2169358;
        double r2169361 = r2169358 * r2169360;
        double r2169362 = v;
        double r2169363 = r2169361 / r2169362;
        double r2169364 = r2169363 - r2169359;
        double r2169365 = r2169364 * r2169358;
        return r2169365;
}
↓
double f(double m, double v) {
        double r2169366 = m;
        double r2169367 = 1.0;
        double r2169368 = r2169367 - r2169366;
        double r2169369 = r2169366 * r2169368;
        double r2169370 = v;
        double r2169371 = r2169369 / r2169370;
        double r2169372 = r2169371 - r2169367;
        double r2169373 = r2169366 * r2169372;
        return r2169373;
}

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. Final simplification0.2

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

Reproduce

herbie shell --seed 2019120 
(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))