Average Error: 0.1 → 0.1
Time: 5.0s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)
↓
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)
double f(double m, double v) {
        double r17156 = m;
        double r17157 = 1.0;
        double r17158 = r17157 - r17156;
        double r17159 = r17156 * r17158;
        double r17160 = v;
        double r17161 = r17159 / r17160;
        double r17162 = r17161 - r17157;
        double r17163 = r17162 * r17158;
        return r17163;
}
↓
double f(double m, double v) {
        double r17164 = m;
        double r17165 = 1.0;
        double r17166 = r17165 - r17164;
        double r17167 = r17164 * r17166;
        double r17168 = v;
        double r17169 = r17167 / r17168;
        double r17170 = r17169 - r17165;
        double r17171 = r17170 * r17166;
        return r17171;
}

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 0.1

    \[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]

  2. Final simplification0.1

    \[\leadsto \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]

Reproduce

herbie shell --seed 2020035 
(FPCore (m v)
  :name "b parameter of renormalized beta distribution"
  :precision binary64
  :pre (and (< 0.0 m) (< 0.0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))