Average Error: 0.1 → 0.1
Time: 20.6s
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 r2575717 = m;
        double r2575718 = 1.0;
        double r2575719 = r2575718 - r2575717;
        double r2575720 = r2575717 * r2575719;
        double r2575721 = v;
        double r2575722 = r2575720 / r2575721;
        double r2575723 = r2575722 - r2575718;
        double r2575724 = r2575723 * r2575719;
        return r2575724;
}
↓
double f(double m, double v) {
        double r2575725 = m;
        double r2575726 = 1.0;
        double r2575727 = r2575726 - r2575725;
        double r2575728 = r2575725 * r2575727;
        double r2575729 = v;
        double r2575730 = r2575728 / r2575729;
        double r2575731 = r2575730 - r2575726;
        double r2575732 = r2575731 * r2575727;
        return r2575732;
}

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 2019173 
(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)))