Average Error: 0.1 → 0.1
Time: 6.3s
Precision: 64
\[\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z\]
↓
\[\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z\]
\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z
↓
\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z
double f(double x, double y, double z) {
        double r455061 = x;
        double r455062 = y;
        double r455063 = 0.5;
        double r455064 = r455062 + r455063;
        double r455065 = log(r455062);
        double r455066 = r455064 * r455065;
        double r455067 = r455061 - r455066;
        double r455068 = r455067 + r455062;
        double r455069 = z;
        double r455070 = r455068 - r455069;
        return r455070;
}
↓
double f(double x, double y, double z) {
        double r455071 = x;
        double r455072 = y;
        double r455073 = 0.5;
        double r455074 = r455072 + r455073;
        double r455075 = log(r455072);
        double r455076 = r455074 * r455075;
        double r455077 = r455071 - r455076;
        double r455078 = r455077 + r455072;
        double r455079 = z;
        double r455080 = r455078 - r455079;
        return r455080;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0.1
Herbie0.1
\[\left(\left(y + x\right) - z\right) - \left(y + 0.5\right) \cdot \log y\]

Derivation

  1. Initial program 0.1

    \[\left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z\]

  2. Final simplification0.1

    \[\leadsto \left(\left(x - \left(y + 0.5\right) \cdot \log y\right) + y\right) - z\]

Reproduce

herbie shell --seed 2020047 
(FPCore (x y z)
  :name "Numeric.SpecFunctions:stirlingError from math-functions-0.1.5.2"
  :precision binary64

  :herbie-target
  (- (- (+ y x) z) (* (+ y 0.5) (log y)))

  (- (+ (- x (* (+ y 0.5) (log y))) y) z))