Average Error: 0.1 → 0.1
Time: 15.7s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
\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 r21501 = m;
        double r21502 = 1.0;
        double r21503 = r21502 - r21501;
        double r21504 = r21501 * r21503;
        double r21505 = v;
        double r21506 = r21504 / r21505;
        double r21507 = r21506 - r21502;
        double r21508 = r21507 * r21503;
        return r21508;
}
↓
double f(double m, double v) {
        double r21509 = m;
        double r21510 = 1.0;
        double r21511 = r21510 - r21509;
        double r21512 = r21509 * r21511;
        double r21513 = v;
        double r21514 = r21512 / r21513;
        double r21515 = r21514 - r21510;
        double r21516 = r21515 * r21511;
        return r21516;
}

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 2020043 +o rules:numerics
(FPCore (m v)
  :name "b parameter of renormalized beta distribution"
  :precision binary64
  :pre (and (< 0.0 m) (< 0.0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))