Average Error: 0.2 → 0.2
Time: 49.9s
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 r931937 = m;
        double r931938 = 1.0;
        double r931939 = r931938 - r931937;
        double r931940 = r931937 * r931939;
        double r931941 = v;
        double r931942 = r931940 / r931941;
        double r931943 = r931942 - r931938;
        double r931944 = r931943 * r931937;
        return r931944;
}
↓
double f(double m, double v) {
        double r931945 = m;
        double r931946 = 1.0;
        double r931947 = r931946 - r931945;
        double r931948 = r931945 * r931947;
        double r931949 = v;
        double r931950 = r931948 / r931949;
        double r931951 = r931950 - r931946;
        double r931952 = r931945 * r931951;
        return r931952;
}

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 2019151 +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))