Average Error: 0.1 → 0.1
Time: 17.0s
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 r1802225 = m;
        double r1802226 = 1.0;
        double r1802227 = r1802226 - r1802225;
        double r1802228 = r1802225 * r1802227;
        double r1802229 = v;
        double r1802230 = r1802228 / r1802229;
        double r1802231 = r1802230 - r1802226;
        double r1802232 = r1802231 * r1802227;
        return r1802232;
}
↓
double f(double m, double v) {
        double r1802233 = m;
        double r1802234 = 1.0;
        double r1802235 = r1802234 - r1802233;
        double r1802236 = r1802233 * r1802235;
        double r1802237 = v;
        double r1802238 = r1802236 / r1802237;
        double r1802239 = r1802238 - r1802234;
        double r1802240 = r1802239 * r1802235;
        return r1802240;
}

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 2019174 
(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)))