Average Error: 0.2 → 0.2
Time: 7.0s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
double f(double m, double v) {
        double r27673 = m;
        double r27674 = 1.0;
        double r27675 = r27674 - r27673;
        double r27676 = r27673 * r27675;
        double r27677 = v;
        double r27678 = r27676 / r27677;
        double r27679 = r27678 - r27674;
        double r27680 = r27679 * r27673;
        return r27680;
}
↓
double f(double m, double v) {
        double r27681 = m;
        double r27682 = 1.0;
        double r27683 = r27682 - r27681;
        double r27684 = r27681 * r27683;
        double r27685 = v;
        double r27686 = r27684 / r27685;
        double r27687 = r27686 - r27682;
        double r27688 = r27687 * r27681;
        return r27688;
}

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

    \[\leadsto \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]

Reproduce

herbie shell --seed 2019353 
(FPCore (m v)
  :name "a parameter of renormalized beta distribution"
  :precision binary64
  :pre (and (< 0.0 m) (< 0.0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) m))