Average Error: 0.0 → 0.0
Time: 8.8s
Precision: 64
\[\left(x \cdot \left(y - 1.0\right) - y \cdot 0.5\right) + 0.918938533204673\]
↓
\[\left(y - 1.0\right) \cdot x - \left(0.5 \cdot y - 0.918938533204673\right)\]
\left(x \cdot \left(y - 1.0\right) - y \cdot 0.5\right) + 0.918938533204673
↓
\left(y - 1.0\right) \cdot x - \left(0.5 \cdot y - 0.918938533204673\right)
double f(double x, double y) {
        double r3389802 = x;
        double r3389803 = y;
        double r3389804 = 1.0;
        double r3389805 = r3389803 - r3389804;
        double r3389806 = r3389802 * r3389805;
        double r3389807 = 0.5;
        double r3389808 = r3389803 * r3389807;
        double r3389809 = r3389806 - r3389808;
        double r3389810 = 0.918938533204673;
        double r3389811 = r3389809 + r3389810;
        return r3389811;
}
↓
double f(double x, double y) {
        double r3389812 = y;
        double r3389813 = 1.0;
        double r3389814 = r3389812 - r3389813;
        double r3389815 = x;
        double r3389816 = r3389814 * r3389815;
        double r3389817 = 0.5;
        double r3389818 = r3389817 * r3389812;
        double r3389819 = 0.918938533204673;
        double r3389820 = r3389818 - r3389819;
        double r3389821 = r3389816 - r3389820;
        return r3389821;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(x \cdot \left(y - 1.0\right) - y \cdot 0.5\right) + 0.918938533204673\]
  2. Using strategy rm

  3. Applied associate-+l-0.0

    \[\leadsto \color{blue}{x \cdot \left(y - 1.0\right) - \left(y \cdot 0.5 - 0.918938533204673\right)}\]

  4. Final simplification0.0

    \[\leadsto \left(y - 1.0\right) \cdot x - \left(0.5 \cdot y - 0.918938533204673\right)\]

Reproduce

herbie shell --seed 2019158 
(FPCore (x y)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A"
  (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))