Average Error: 0.0 → 0.0
Time: 789.0ms
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 r56619 = x;
        double r56620 = y;
        double r56621 = 1.0;
        double r56622 = r56620 - r56621;
        double r56623 = r56619 * r56622;
        double r56624 = 0.5;
        double r56625 = r56620 * r56624;
        double r56626 = r56623 - r56625;
        double r56627 = 0.918938533204673;
        double r56628 = r56626 + r56627;
        return r56628;
}
↓
double f(double x, double y) {
        double r56629 = x;
        double r56630 = y;
        double r56631 = r56629 * r56630;
        double r56632 = 1.0;
        double r56633 = -r56632;
        double r56634 = r56629 * r56633;
        double r56635 = r56631 + r56634;
        double r56636 = 0.5;
        double r56637 = r56630 * r56636;
        double r56638 = r56635 - r56637;
        double r56639 = 0.918938533204673;
        double r56640 = r56638 + r56639;
        return r56640;
}

Error

Bits error versus x

Bits error versus y

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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 2020046 
(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))