Average Error: 0.2 → 0.2
Time: 34.1s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
double f(double m, double v) {
        double r1040189 = m;
        double r1040190 = 1.0;
        double r1040191 = r1040190 - r1040189;
        double r1040192 = r1040189 * r1040191;
        double r1040193 = v;
        double r1040194 = r1040192 / r1040193;
        double r1040195 = r1040194 - r1040190;
        double r1040196 = r1040195 * r1040189;
        return r1040196;
}
↓
double f(double m, double v) {
        double r1040197 = m;
        double r1040198 = 1.0;
        double r1040199 = r1040198 - r1040197;
        double r1040200 = r1040197 * r1040199;
        double r1040201 = v;
        double r1040202 = r1040200 / r1040201;
        double r1040203 = r1040202 - r1040198;
        double r1040204 = r1040203 * r1040197;
        return r1040204;
}

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 0.2

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

  2. Final simplification0.2

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

Reproduce

herbie shell --seed 2019200 +o rules:numerics
(FPCore (m v)
  :name "a parameter of renormalized beta distribution"
  :pre (and (< 0.0 m) (< 0.0 v) (< v 0.25))
  (* (- (/ (* m (- 1.0 m)) v) 1.0) m))