Average Error: 0.1 → 0.1
Time: 50.4s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1.0 - m\right)}{v} - 1.0\right) \cdot \left(1.0 - m\right)\]
↓
\[\left(\frac{m \cdot \left(1.0 - m\right)}{v} - 1.0\right) \cdot \left(1.0 - m\right)\]
\left(\frac{m \cdot \left(1.0 - m\right)}{v} - 1.0\right) \cdot \left(1.0 - m\right)
↓
\left(\frac{m \cdot \left(1.0 - m\right)}{v} - 1.0\right) \cdot \left(1.0 - m\right)
double f(double m, double v) {
        double r1428514 = m;
        double r1428515 = 1.0;
        double r1428516 = r1428515 - r1428514;
        double r1428517 = r1428514 * r1428516;
        double r1428518 = v;
        double r1428519 = r1428517 / r1428518;
        double r1428520 = r1428519 - r1428515;
        double r1428521 = r1428520 * r1428516;
        return r1428521;
}
↓
double f(double m, double v) {
        double r1428522 = m;
        double r1428523 = 1.0;
        double r1428524 = r1428523 - r1428522;
        double r1428525 = r1428522 * r1428524;
        double r1428526 = v;
        double r1428527 = r1428525 / r1428526;
        double r1428528 = r1428527 - r1428523;
        double r1428529 = r1428528 * r1428524;
        return r1428529;
}

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 0.1

    \[\left(\frac{m \cdot \left(1.0 - m\right)}{v} - 1.0\right) \cdot \left(1.0 - m\right)\]

  2. Final simplification0.1

    \[\leadsto \left(\frac{m \cdot \left(1.0 - m\right)}{v} - 1.0\right) \cdot \left(1.0 - m\right)\]

Reproduce

herbie shell --seed 2019165 
(FPCore (m v)
  :name "b parameter of renormalized beta distribution"
  :pre (and (< 0.0 m) (< 0.0 v) (< v 0.25))
  (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))