Average Error: 0.1 → 0.1
Time: 34.0s
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 r219044 = x;
        double r219045 = y;
        double r219046 = 0.5;
        double r219047 = r219045 + r219046;
        double r219048 = log(r219045);
        double r219049 = r219047 * r219048;
        double r219050 = r219044 - r219049;
        double r219051 = r219050 + r219045;
        double r219052 = z;
        double r219053 = r219051 - r219052;
        return r219053;
}
↓
double f(double x, double y, double z) {
        double r219054 = x;
        double r219055 = y;
        double r219056 = 0.5;
        double r219057 = r219055 + r219056;
        double r219058 = log(r219055);
        double r219059 = r219057 * r219058;
        double r219060 = r219054 - r219059;
        double r219061 = r219060 + r219055;
        double r219062 = z;
        double r219063 = r219061 - r219062;
        return r219063;
}

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 2019325 
(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))