Average Error: 0.2 → 0.2
Time: 34.7s
Precision: 64
\[0 \lt m \land 0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[m \cdot \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right)\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
m \cdot \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right)
double f(double m, double v) {
        double r499681 = m;
        double r499682 = 1.0;
        double r499683 = r499682 - r499681;
        double r499684 = r499681 * r499683;
        double r499685 = v;
        double r499686 = r499684 / r499685;
        double r499687 = r499686 - r499682;
        double r499688 = r499687 * r499681;
        return r499688;
}
↓
double f(double m, double v) {
        double r499689 = m;
        double r499690 = 1.0;
        double r499691 = r499690 - r499689;
        double r499692 = r499689 * r499691;
        double r499693 = v;
        double r499694 = r499692 / r499693;
        double r499695 = r499694 - r499690;
        double r499696 = r499689 * r499695;
        return r499696;
}

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

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

Reproduce

herbie shell --seed 2019152 +o rules:numerics
(FPCore (m v)
  :name "a parameter of renormalized beta distribution"
  :pre (and (< 0 m) (< 0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) m))