Average Error: 0.0 → 0.0
Time: 2.5s
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 r76558 = x;
        double r76559 = y;
        double r76560 = 1.0;
        double r76561 = r76559 - r76560;
        double r76562 = r76558 * r76561;
        double r76563 = 0.5;
        double r76564 = r76559 * r76563;
        double r76565 = r76562 - r76564;
        double r76566 = 0.918938533204673;
        double r76567 = r76565 + r76566;
        return r76567;
}
↓
double f(double x, double y) {
        double r76568 = x;
        double r76569 = y;
        double r76570 = r76568 * r76569;
        double r76571 = 1.0;
        double r76572 = -r76571;
        double r76573 = r76568 * r76572;
        double r76574 = r76570 + r76573;
        double r76575 = 0.5;
        double r76576 = r76569 * r76575;
        double r76577 = r76574 - r76576;
        double r76578 = 0.918938533204673;
        double r76579 = r76577 + r76578;
        return r76579;
}

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 2020025 
(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))