Average Error: 0.2 → 0.2
Time: 16.5s
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 r469669 = m;
        double r469670 = 1.0;
        double r469671 = r469670 - r469669;
        double r469672 = r469669 * r469671;
        double r469673 = v;
        double r469674 = r469672 / r469673;
        double r469675 = r469674 - r469670;
        double r469676 = r469675 * r469669;
        return r469676;
}
↓
double f(double m, double v) {
        double r469677 = m;
        double r469678 = 1.0;
        double r469679 = r469678 - r469677;
        double r469680 = r469677 * r469679;
        double r469681 = v;
        double r469682 = r469680 / r469681;
        double r469683 = r469682 - r469678;
        double r469684 = r469677 * r469683;
        return r469684;
}

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 2019138 
(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))