Average Error: 0.1 → 0.1
Time: 16.2s
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 r1189652 = m;
        double r1189653 = 1.0;
        double r1189654 = r1189653 - r1189652;
        double r1189655 = r1189652 * r1189654;
        double r1189656 = v;
        double r1189657 = r1189655 / r1189656;
        double r1189658 = r1189657 - r1189653;
        double r1189659 = r1189658 * r1189654;
        return r1189659;
}
↓
double f(double m, double v) {
        double r1189660 = m;
        double r1189661 = 1.0;
        double r1189662 = r1189661 - r1189660;
        double r1189663 = r1189660 * r1189662;
        double r1189664 = v;
        double r1189665 = r1189663 / r1189664;
        double r1189666 = r1189665 - r1189661;
        double r1189667 = r1189666 * r1189662;
        return r1189667;
}

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 2019165 
(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)))