Average Error: 0.0 → 0.0
Time: 945.0ms
Precision: 64
\[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673003\]
↓
\[\left(x \cdot y + \left(\left(-1\right) \cdot x - y \cdot 0.5\right)\right) + 0.918938533204673003\]
\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673003
↓
\left(x \cdot y + \left(\left(-1\right) \cdot x - y \cdot 0.5\right)\right) + 0.918938533204673003
double f(double x, double y) {
        double r29429 = x;
        double r29430 = y;
        double r29431 = 1.0;
        double r29432 = r29430 - r29431;
        double r29433 = r29429 * r29432;
        double r29434 = 0.5;
        double r29435 = r29430 * r29434;
        double r29436 = r29433 - r29435;
        double r29437 = 0.918938533204673;
        double r29438 = r29436 + r29437;
        return r29438;
}
↓
double f(double x, double y) {
        double r29439 = x;
        double r29440 = y;
        double r29441 = r29439 * r29440;
        double r29442 = 1.0;
        double r29443 = -r29442;
        double r29444 = r29443 * r29439;
        double r29445 = 0.5;
        double r29446 = r29440 * r29445;
        double r29447 = r29444 - r29446;
        double r29448 = r29441 + r29447;
        double r29449 = 0.918938533204673;
        double r29450 = r29448 + r29449;
        return r29450;
}

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

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

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2020047 
(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))