Average Error: 0.2 → 0.2
Time: 4.6s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
double f(double m, double v) {
        double r12217 = m;
        double r12218 = 1.0;
        double r12219 = r12218 - r12217;
        double r12220 = r12217 * r12219;
        double r12221 = v;
        double r12222 = r12220 / r12221;
        double r12223 = r12222 - r12218;
        double r12224 = r12223 * r12217;
        return r12224;
}
↓
double f(double m, double v) {
        double r12225 = m;
        double r12226 = 1.0;
        double r12227 = r12226 - r12225;
        double r12228 = r12225 * r12227;
        double r12229 = v;
        double r12230 = r12228 / r12229;
        double r12231 = r12230 - r12226;
        double r12232 = r12231 * r12225;
        return r12232;
}

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

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

Reproduce

herbie shell --seed 2019356 
(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))