Average Error: 0.2 → 0.2
Time: 21.6s
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 r615508 = m;
        double r615509 = 1.0;
        double r615510 = r615509 - r615508;
        double r615511 = r615508 * r615510;
        double r615512 = v;
        double r615513 = r615511 / r615512;
        double r615514 = r615513 - r615509;
        double r615515 = r615514 * r615508;
        return r615515;
}
↓
double f(double m, double v) {
        double r615516 = m;
        double r615517 = 1.0;
        double r615518 = r615517 - r615516;
        double r615519 = r615516 * r615518;
        double r615520 = v;
        double r615521 = r615519 / r615520;
        double r615522 = r615521 - r615517;
        double r615523 = r615516 * r615522;
        return r615523;
}

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 2019152 
(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))