Average Error: 0.2 → 0.2
Time: 30.7s
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 r572572 = m;
        double r572573 = 1.0;
        double r572574 = r572573 - r572572;
        double r572575 = r572572 * r572574;
        double r572576 = v;
        double r572577 = r572575 / r572576;
        double r572578 = r572577 - r572573;
        double r572579 = r572578 * r572572;
        return r572579;
}
↓
double f(double m, double v) {
        double r572580 = m;
        double r572581 = 1.0;
        double r572582 = r572581 - r572580;
        double r572583 = r572580 * r572582;
        double r572584 = v;
        double r572585 = r572583 / r572584;
        double r572586 = r572585 - r572581;
        double r572587 = r572580 * r572586;
        return r572587;
}

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 
(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))