Average Error: 0.0 → 0.0
Time: 2.6s
Precision: 64
\[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673003\]
↓
\[\left(y \cdot x + \left(\left(-1\right) \cdot x - y \cdot 0.5\right)\right) + 0.918938533204673003\]
\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673003
↓
\left(y \cdot x + \left(\left(-1\right) \cdot x - y \cdot 0.5\right)\right) + 0.918938533204673003
double f(double x, double y) {
        double r40362 = x;
        double r40363 = y;
        double r40364 = 1.0;
        double r40365 = r40363 - r40364;
        double r40366 = r40362 * r40365;
        double r40367 = 0.5;
        double r40368 = r40363 * r40367;
        double r40369 = r40366 - r40368;
        double r40370 = 0.918938533204673;
        double r40371 = r40369 + r40370;
        return r40371;
}
↓
double f(double x, double y) {
        double r40372 = y;
        double r40373 = x;
        double r40374 = r40372 * r40373;
        double r40375 = 1.0;
        double r40376 = -r40375;
        double r40377 = r40376 * r40373;
        double r40378 = 0.5;
        double r40379 = r40372 * r40378;
        double r40380 = r40377 - r40379;
        double r40381 = r40374 + r40380;
        double r40382 = 0.918938533204673;
        double r40383 = r40381 + r40382;
        return r40383;
}

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-rgt-in0.0

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

  5. Applied associate--l+0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2020081 
(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))