Average Error: 0.0 → 0.0
Time: 928.0ms
Precision: 64
\[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673003\]
↓
\[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673003\]
\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673003
↓
\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673003
double f(double x, double y) {
        double r51874 = x;
        double r51875 = y;
        double r51876 = 1.0;
        double r51877 = r51875 - r51876;
        double r51878 = r51874 * r51877;
        double r51879 = 0.5;
        double r51880 = r51875 * r51879;
        double r51881 = r51878 - r51880;
        double r51882 = 0.918938533204673;
        double r51883 = r51881 + r51882;
        return r51883;
}
↓
double f(double x, double y) {
        double r51884 = x;
        double r51885 = y;
        double r51886 = 1.0;
        double r51887 = r51885 - r51886;
        double r51888 = r51884 * r51887;
        double r51889 = 0.5;
        double r51890 = r51885 * r51889;
        double r51891 = r51888 - r51890;
        double r51892 = 0.918938533204673;
        double r51893 = r51891 + r51892;
        return r51893;
}

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

    \[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673003\]

  2. Final simplification0.0

    \[\leadsto \left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673003\]

Reproduce

herbie shell --seed 2020046 +o rules:numerics
(FPCore (x y)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (+ (- (* x (- y 1)) (* y 0.5)) 0.918938533204673))