Average Error: 0.2 → 0.2
Time: 45.2s
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 r686600 = m;
        double r686601 = 1.0;
        double r686602 = r686601 - r686600;
        double r686603 = r686600 * r686602;
        double r686604 = v;
        double r686605 = r686603 / r686604;
        double r686606 = r686605 - r686601;
        double r686607 = r686606 * r686600;
        return r686607;
}
↓
double f(double m, double v) {
        double r686608 = m;
        double r686609 = 1.0;
        double r686610 = r686609 - r686608;
        double r686611 = r686608 * r686610;
        double r686612 = v;
        double r686613 = r686611 / r686612;
        double r686614 = r686613 - r686609;
        double r686615 = r686608 * r686614;
        return r686615;
}

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 2019142 +o rules:numerics
(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))