Average Error: 0.0 → 0.0
Time: 2.4s
Precision: 64
\[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673003\]
↓
\[\left(\left(x \cdot y + x \cdot \left(-1\right)\right) - y \cdot 0.5\right) + 0.918938533204673003\]
\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673003
↓
\left(\left(x \cdot y + x \cdot \left(-1\right)\right) - y \cdot 0.5\right) + 0.918938533204673003
double f(double x, double y) {
        double r75127 = x;
        double r75128 = y;
        double r75129 = 1.0;
        double r75130 = r75128 - r75129;
        double r75131 = r75127 * r75130;
        double r75132 = 0.5;
        double r75133 = r75128 * r75132;
        double r75134 = r75131 - r75133;
        double r75135 = 0.918938533204673;
        double r75136 = r75134 + r75135;
        return r75136;
}
↓
double f(double x, double y) {
        double r75137 = x;
        double r75138 = y;
        double r75139 = r75137 * r75138;
        double r75140 = 1.0;
        double r75141 = -r75140;
        double r75142 = r75137 * r75141;
        double r75143 = r75139 + r75142;
        double r75144 = 0.5;
        double r75145 = r75138 * r75144;
        double r75146 = r75143 - r75145;
        double r75147 = 0.918938533204673;
        double r75148 = r75146 + r75147;
        return r75148;
}

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. Using strategy rm

  3. Applied sub-neg0.0

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

  4. Applied distribute-lft-in0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2020035 
(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))