Average Error: 0.0 → 0.0
Time: 15.8s
Precision: 64
\[\left(x \cdot \left(y - 1.0\right) - y \cdot 0.5\right) + 0.918938533204673\]
↓
\[\left(\left(y - 1.0\right) \cdot x - 0.5 \cdot y\right) + 0.918938533204673\]
\left(x \cdot \left(y - 1.0\right) - y \cdot 0.5\right) + 0.918938533204673
↓
\left(\left(y - 1.0\right) \cdot x - 0.5 \cdot y\right) + 0.918938533204673
double f(double x, double y) {
        double r2972453 = x;
        double r2972454 = y;
        double r2972455 = 1.0;
        double r2972456 = r2972454 - r2972455;
        double r2972457 = r2972453 * r2972456;
        double r2972458 = 0.5;
        double r2972459 = r2972454 * r2972458;
        double r2972460 = r2972457 - r2972459;
        double r2972461 = 0.918938533204673;
        double r2972462 = r2972460 + r2972461;
        return r2972462;
}
↓
double f(double x, double y) {
        double r2972463 = y;
        double r2972464 = 1.0;
        double r2972465 = r2972463 - r2972464;
        double r2972466 = x;
        double r2972467 = r2972465 * r2972466;
        double r2972468 = 0.5;
        double r2972469 = r2972468 * r2972463;
        double r2972470 = r2972467 - r2972469;
        double r2972471 = 0.918938533204673;
        double r2972472 = r2972470 + r2972471;
        return r2972472;
}

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

    \[\left(x \cdot \left(y - 1.0\right) - y \cdot 0.5\right) + 0.918938533204673\]

  2. Final simplification0.0

    \[\leadsto \left(\left(y - 1.0\right) \cdot x - 0.5 \cdot y\right) + 0.918938533204673\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x y)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A"
  (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))