Average Error: 0.2 → 0.2
Time: 4.6s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
\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 r12769 = m;
        double r12770 = 1.0;
        double r12771 = r12770 - r12769;
        double r12772 = r12769 * r12771;
        double r12773 = v;
        double r12774 = r12772 / r12773;
        double r12775 = r12774 - r12770;
        double r12776 = r12775 * r12769;
        return r12776;
}
↓
double f(double m, double v) {
        double r12777 = m;
        double r12778 = 1.0;
        double r12779 = r12778 - r12777;
        double r12780 = r12777 * r12779;
        double r12781 = v;
        double r12782 = r12780 / r12781;
        double r12783 = r12782 - r12778;
        double r12784 = r12783 * r12777;
        return r12784;
}

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 2019356 +o rules:numerics
(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))