Average Error: 0.0 → 0.0
Time: 7.9s
Precision: 64
\[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931\]
↓
\[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931\]
\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931
↓
\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931
double f(double x, double y) {
        double r48658 = x;
        double r48659 = y;
        double r48660 = 1.0;
        double r48661 = r48659 - r48660;
        double r48662 = r48658 * r48661;
        double r48663 = 0.5;
        double r48664 = r48659 * r48663;
        double r48665 = r48662 - r48664;
        double r48666 = 0.918938533204673;
        double r48667 = r48665 + r48666;
        return r48667;
}
↓
double f(double x, double y) {
        double r48668 = x;
        double r48669 = y;
        double r48670 = 1.0;
        double r48671 = r48669 - r48670;
        double r48672 = r48668 * r48671;
        double r48673 = 0.5;
        double r48674 = r48669 * r48673;
        double r48675 = r48672 - r48674;
        double r48676 = 0.918938533204673;
        double r48677 = r48675 + r48676;
        return r48677;
}

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

    \[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931\]

  2. Final simplification0.0

    \[\leadsto \left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.9189385332046730026078762421093415468931\]

Reproduce

herbie shell --seed 2019325 +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))