Average Error: 0.2 → 0.2
Time: 27.9s
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 r612295 = m;
        double r612296 = 1.0;
        double r612297 = r612296 - r612295;
        double r612298 = r612295 * r612297;
        double r612299 = v;
        double r612300 = r612298 / r612299;
        double r612301 = r612300 - r612296;
        double r612302 = r612301 * r612295;
        return r612302;
}
↓
double f(double m, double v) {
        double r612303 = m;
        double r612304 = 1.0;
        double r612305 = r612304 - r612303;
        double r612306 = r612303 * r612305;
        double r612307 = v;
        double r612308 = r612306 / r612307;
        double r612309 = r612308 - r612304;
        double r612310 = r612303 * r612309;
        return r612310;
}

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 +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))