Average Error: 0.2 → 0.2
Time: 4.1s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[\left(\frac{m}{\frac{v}{1 - m}} - 1\right) \cdot m\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
\left(\frac{m}{\frac{v}{1 - m}} - 1\right) \cdot m
double f(double m, double v) {
        double r13182 = m;
        double r13183 = 1.0;
        double r13184 = r13183 - r13182;
        double r13185 = r13182 * r13184;
        double r13186 = v;
        double r13187 = r13185 / r13186;
        double r13188 = r13187 - r13183;
        double r13189 = r13188 * r13182;
        return r13189;
}
↓
double f(double m, double v) {
        double r13190 = m;
        double r13191 = v;
        double r13192 = 1.0;
        double r13193 = r13192 - r13190;
        double r13194 = r13191 / r13193;
        double r13195 = r13190 / r13194;
        double r13196 = r13195 - r13192;
        double r13197 = r13196 * r13190;
        return r13197;
}

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. Using strategy rm

  3. Applied associate-/l*0.2

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

  4. Final simplification0.2

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

Reproduce

herbie shell --seed 2020065 +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))