Average Error: 0.1 → 0.1
Time: 5.2s
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 r17140 = m;
        double r17141 = 1.0;
        double r17142 = r17141 - r17140;
        double r17143 = r17140 * r17142;
        double r17144 = v;
        double r17145 = r17143 / r17144;
        double r17146 = r17145 - r17141;
        double r17147 = r17146 * r17142;
        return r17147;
}
↓
double f(double m, double v) {
        double r17148 = m;
        double r17149 = 1.0;
        double r17150 = r17149 - r17148;
        double r17151 = r17148 * r17150;
        double r17152 = v;
        double r17153 = r17151 / r17152;
        double r17154 = r17153 - r17149;
        double r17155 = r17154 * r17150;
        return r17155;
}

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 +o rules:numerics
(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)))