Average Error: 0.2 → 0.2
Time: 18.9s
Precision: 64
\[0 \lt m \land 0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[m \cdot \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right)\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
m \cdot \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right)
double f(double m, double v) {
        double r652279 = m;
        double r652280 = 1.0;
        double r652281 = r652280 - r652279;
        double r652282 = r652279 * r652281;
        double r652283 = v;
        double r652284 = r652282 / r652283;
        double r652285 = r652284 - r652280;
        double r652286 = r652285 * r652279;
        return r652286;
}
↓
double f(double m, double v) {
        double r652287 = m;
        double r652288 = 1.0;
        double r652289 = r652288 - r652287;
        double r652290 = r652287 * r652289;
        double r652291 = v;
        double r652292 = r652290 / r652291;
        double r652293 = r652292 - r652288;
        double r652294 = r652287 * r652293;
        return r652294;
}

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

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

Reproduce

herbie shell --seed 2019141 
(FPCore (m v)
  :name "a parameter of renormalized beta distribution"
  :pre (and (< 0 m) (< 0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) m))