Average Error: 0.1 → 0.1
Time: 19.7s
Precision: 64
\[0 \lt m \land 0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
\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 r660647 = m;
        double r660648 = 1.0;
        double r660649 = r660648 - r660647;
        double r660650 = r660647 * r660649;
        double r660651 = v;
        double r660652 = r660650 / r660651;
        double r660653 = r660652 - r660648;
        double r660654 = r660653 * r660649;
        return r660654;
}
↓
double f(double m, double v) {
        double r660655 = m;
        double r660656 = 1.0;
        double r660657 = r660656 - r660655;
        double r660658 = r660655 * r660657;
        double r660659 = v;
        double r660660 = r660658 / r660659;
        double r660661 = r660660 - r660656;
        double r660662 = r660661 * r660657;
        return r660662;
}

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 2019129 +o rules:numerics
(FPCore (m v)
  :name "b parameter of renormalized beta distribution"
  :pre (and (< 0 m) (< 0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))