Average Error: 0.0 → 0.0
Time: 1.7s
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 r41171 = x;
        double r41172 = y;
        double r41173 = 1.0;
        double r41174 = r41172 - r41173;
        double r41175 = r41171 * r41174;
        double r41176 = 0.5;
        double r41177 = r41172 * r41176;
        double r41178 = r41175 - r41177;
        double r41179 = 0.918938533204673;
        double r41180 = r41178 + r41179;
        return r41180;
}
↓
double f(double x, double y) {
        double r41181 = x;
        double r41182 = y;
        double r41183 = 1.0;
        double r41184 = r41182 - r41183;
        double r41185 = r41181 * r41184;
        double r41186 = 0.5;
        double r41187 = r41182 * r41186;
        double r41188 = r41185 - r41187;
        double r41189 = 0.918938533204673;
        double r41190 = r41188 + r41189;
        return r41190;
}

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 2020089 
(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))