Average Error: 0.2 → 0.2
Time: 14.6s
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 r20172 = m;
        double r20173 = 1.0;
        double r20174 = r20173 - r20172;
        double r20175 = r20172 * r20174;
        double r20176 = v;
        double r20177 = r20175 / r20176;
        double r20178 = r20177 - r20173;
        double r20179 = r20178 * r20172;
        return r20179;
}
↓
double f(double m, double v) {
        double r20180 = m;
        double r20181 = 1.0;
        double r20182 = r20181 - r20180;
        double r20183 = r20180 * r20182;
        double r20184 = v;
        double r20185 = r20183 / r20184;
        double r20186 = r20185 - r20181;
        double r20187 = r20186 * r20180;
        return r20187;
}

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 2019291 
(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))