Average Error: 0.1 → 0.1
Time: 49.6s
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 r979400 = m;
        double r979401 = 1.0;
        double r979402 = r979401 - r979400;
        double r979403 = r979400 * r979402;
        double r979404 = v;
        double r979405 = r979403 / r979404;
        double r979406 = r979405 - r979401;
        double r979407 = r979406 * r979402;
        return r979407;
}
↓
double f(double m, double v) {
        double r979408 = m;
        double r979409 = 1.0;
        double r979410 = r979409 - r979408;
        double r979411 = r979408 * r979410;
        double r979412 = v;
        double r979413 = r979411 / r979412;
        double r979414 = r979413 - r979409;
        double r979415 = r979414 * r979410;
        return r979415;
}

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 2019149 +o rules:numerics
(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)))