Average Error: 0.2 → 0.2
Time: 12.3s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[\left(\frac{m}{v} \cdot \left(1 - m\right) - 1\right) \cdot m\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
\left(\frac{m}{v} \cdot \left(1 - m\right) - 1\right) \cdot m
double f(double m, double v) {
        double r11113 = m;
        double r11114 = 1.0;
        double r11115 = r11114 - r11113;
        double r11116 = r11113 * r11115;
        double r11117 = v;
        double r11118 = r11116 / r11117;
        double r11119 = r11118 - r11114;
        double r11120 = r11119 * r11113;
        return r11120;
}
↓
double f(double m, double v) {
        double r11121 = m;
        double r11122 = v;
        double r11123 = r11121 / r11122;
        double r11124 = 1.0;
        double r11125 = r11124 - r11121;
        double r11126 = r11123 * r11125;
        double r11127 = r11126 - r11124;
        double r11128 = r11127 * r11121;
        return r11128;
}

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 *-un-lft-identity0.2

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

  4. Applied *-un-lft-identity0.2

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

  5. Applied distribute-lft-out--0.2

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

  6. Simplified0.2

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

  7. Final simplification0.2

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

Reproduce

herbie shell --seed 2020047 
(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))