Average Error: 0.2 → 0.2
Time: 4.3s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
\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 r13334 = m;
        double r13335 = 1.0;
        double r13336 = r13335 - r13334;
        double r13337 = r13334 * r13336;
        double r13338 = v;
        double r13339 = r13337 / r13338;
        double r13340 = r13339 - r13335;
        double r13341 = r13340 * r13334;
        return r13341;
}
↓
double f(double m, double v) {
        double r13342 = m;
        double r13343 = 1.0;
        double r13344 = r13343 - r13342;
        double r13345 = r13342 * r13344;
        double r13346 = v;
        double r13347 = r13345 / r13346;
        double r13348 = r13347 - r13343;
        double r13349 = r13348 * r13342;
        return r13349;
}

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 2020039 +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))