Average Error: 0.1 → 0.1
Time: 16.6s
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 r33720 = m;
        double r33721 = 1.0;
        double r33722 = r33721 - r33720;
        double r33723 = r33720 * r33722;
        double r33724 = v;
        double r33725 = r33723 / r33724;
        double r33726 = r33725 - r33721;
        double r33727 = r33726 * r33722;
        return r33727;
}
↓
double f(double m, double v) {
        double r33728 = m;
        double r33729 = 1.0;
        double r33730 = r33729 - r33728;
        double r33731 = r33728 * r33730;
        double r33732 = v;
        double r33733 = r33731 / r33732;
        double r33734 = r33733 - r33729;
        double r33735 = r33734 * r33730;
        return r33735;
}

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 2019195 
(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)))