Average Error: 0.0 → 0.0
Time: 13.3s
Precision: 64
\[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673003\]
↓
\[\left(x \cdot y + \left(-\left(1 \cdot x + 0.5 \cdot y\right)\right)\right) + 0.918938533204673003\]
\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673003
↓
\left(x \cdot y + \left(-\left(1 \cdot x + 0.5 \cdot y\right)\right)\right) + 0.918938533204673003
double f(double x, double y) {
        double r32299 = x;
        double r32300 = y;
        double r32301 = 1.0;
        double r32302 = r32300 - r32301;
        double r32303 = r32299 * r32302;
        double r32304 = 0.5;
        double r32305 = r32300 * r32304;
        double r32306 = r32303 - r32305;
        double r32307 = 0.918938533204673;
        double r32308 = r32306 + r32307;
        return r32308;
}
↓
double f(double x, double y) {
        double r32309 = x;
        double r32310 = y;
        double r32311 = r32309 * r32310;
        double r32312 = 1.0;
        double r32313 = r32312 * r32309;
        double r32314 = 0.5;
        double r32315 = r32314 * r32310;
        double r32316 = r32313 + r32315;
        double r32317 = -r32316;
        double r32318 = r32311 + r32317;
        double r32319 = 0.918938533204673;
        double r32320 = r32318 + r32319;
        return r32320;
}

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. Applied associate--l+0.0

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

  6. Simplified0.0

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

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2019199 
(FPCore (x y)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A"
  (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))