Average Error: 0.0 → 0.0
Time: 1.3s
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 r41986 = x;
        double r41987 = y;
        double r41988 = 1.0;
        double r41989 = r41987 - r41988;
        double r41990 = r41986 * r41989;
        double r41991 = 0.5;
        double r41992 = r41987 * r41991;
        double r41993 = r41990 - r41992;
        double r41994 = 0.918938533204673;
        double r41995 = r41993 + r41994;
        return r41995;
}
↓
double f(double x, double y) {
        double r41996 = x;
        double r41997 = y;
        double r41998 = r41996 * r41997;
        double r41999 = 1.0;
        double r42000 = -r41999;
        double r42001 = r41996 * r42000;
        double r42002 = r41998 + r42001;
        double r42003 = 0.5;
        double r42004 = r41997 * r42003;
        double r42005 = r42002 - r42004;
        double r42006 = 0.918938533204673;
        double r42007 = r42005 + r42006;
        return r42007;
}

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. 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 2020100 
(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))