Average Error: 0.1 → 0.1
Time: 17.9s
Precision: 64
\[0 \lt m \land 0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)
↓
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)
double f(double m, double v) {
        double r1203575 = m;
        double r1203576 = 1.0;
        double r1203577 = r1203576 - r1203575;
        double r1203578 = r1203575 * r1203577;
        double r1203579 = v;
        double r1203580 = r1203578 / r1203579;
        double r1203581 = r1203580 - r1203576;
        double r1203582 = r1203581 * r1203577;
        return r1203582;
}
↓
double f(double m, double v) {
        double r1203583 = m;
        double r1203584 = 1.0;
        double r1203585 = r1203584 - r1203583;
        double r1203586 = r1203583 * r1203585;
        double r1203587 = v;
        double r1203588 = r1203586 / r1203587;
        double r1203589 = r1203588 - r1203584;
        double r1203590 = r1203589 * r1203585;
        return r1203590;
}

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 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2019164 
(FPCore (m v)
  :name "b parameter of renormalized beta distribution"
  :pre (and (< 0 m) (< 0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))