Average Error: 0.1 → 0.1
Time: 18.1s
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 r34504 = m;
        double r34505 = 1.0;
        double r34506 = r34505 - r34504;
        double r34507 = r34504 * r34506;
        double r34508 = v;
        double r34509 = r34507 / r34508;
        double r34510 = r34509 - r34505;
        double r34511 = r34510 * r34506;
        return r34511;
}
↓
double f(double m, double v) {
        double r34512 = m;
        double r34513 = 1.0;
        double r34514 = r34513 - r34512;
        double r34515 = r34512 * r34514;
        double r34516 = v;
        double r34517 = r34515 / r34516;
        double r34518 = r34517 - r34513;
        double r34519 = r34518 * r34514;
        return r34519;
}

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 2019195 +o rules:numerics
(FPCore (m v)
  :name "b parameter of renormalized beta distribution"
  :pre (and (< 0.0 m) (< 0.0 v) (< v 0.25))
  (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))