Average Error: 0.0 → 0.0
Time: 2.0s
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 r47036 = x;
        double r47037 = y;
        double r47038 = 1.0;
        double r47039 = r47037 - r47038;
        double r47040 = r47036 * r47039;
        double r47041 = 0.5;
        double r47042 = r47037 * r47041;
        double r47043 = r47040 - r47042;
        double r47044 = 0.918938533204673;
        double r47045 = r47043 + r47044;
        return r47045;
}
↓
double f(double x, double y) {
        double r47046 = x;
        double r47047 = y;
        double r47048 = r47046 * r47047;
        double r47049 = 1.0;
        double r47050 = -r47049;
        double r47051 = r47046 * r47050;
        double r47052 = r47048 + r47051;
        double r47053 = 0.5;
        double r47054 = r47047 * r47053;
        double r47055 = r47052 - r47054;
        double r47056 = 0.918938533204673;
        double r47057 = r47055 + r47056;
        return r47057;
}

Error

Bits error versus x

Bits error versus y

Try it out

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 2020056 
(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))