Average Error: 0.1 → 0.1
Time: 16.0s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)
↓
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)
double f(double m, double v) {
        double r1384584 = m;
        double r1384585 = 1.0;
        double r1384586 = r1384585 - r1384584;
        double r1384587 = r1384584 * r1384586;
        double r1384588 = v;
        double r1384589 = r1384587 / r1384588;
        double r1384590 = r1384589 - r1384585;
        double r1384591 = r1384590 * r1384586;
        return r1384591;
}
↓
double f(double m, double v) {
        double r1384592 = m;
        double r1384593 = 1.0;
        double r1384594 = r1384593 - r1384592;
        double r1384595 = r1384592 * r1384594;
        double r1384596 = v;
        double r1384597 = r1384595 / r1384596;
        double r1384598 = r1384597 - r1384593;
        double r1384599 = r1384598 * r1384594;
        return r1384599;
}

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

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2019174 
(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)))