Average Error: 0.2 → 0.2
Time: 10.1s
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 r37144 = m;
        double r37145 = 1.0;
        double r37146 = r37145 - r37144;
        double r37147 = r37144 * r37146;
        double r37148 = v;
        double r37149 = r37147 / r37148;
        double r37150 = r37149 - r37145;
        double r37151 = r37150 * r37144;
        return r37151;
}
↓
double f(double m, double v) {
        double r37152 = m;
        double r37153 = 1.0;
        double r37154 = r37153 - r37152;
        double r37155 = r37152 * r37154;
        double r37156 = v;
        double r37157 = r37155 / r37156;
        double r37158 = r37157 - r37153;
        double r37159 = r37158 * r37152;
        return r37159;
}

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 2019353 +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))