Average Error: 0.0 → 0.0
Time: 781.0ms
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 r45607 = x;
        double r45608 = y;
        double r45609 = 1.0;
        double r45610 = r45608 - r45609;
        double r45611 = r45607 * r45610;
        double r45612 = 0.5;
        double r45613 = r45608 * r45612;
        double r45614 = r45611 - r45613;
        double r45615 = 0.918938533204673;
        double r45616 = r45614 + r45615;
        return r45616;
}
↓
double f(double x, double y) {
        double r45617 = x;
        double r45618 = y;
        double r45619 = r45617 * r45618;
        double r45620 = 1.0;
        double r45621 = -r45620;
        double r45622 = r45617 * r45621;
        double r45623 = r45619 + r45622;
        double r45624 = 0.5;
        double r45625 = r45618 * r45624;
        double r45626 = r45623 - r45625;
        double r45627 = 0.918938533204673;
        double r45628 = r45626 + r45627;
        return r45628;
}

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 2020024 
(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))