Average Error: 0.1 → 0.1
Time: 32.2s
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 r207185 = x;
        double r207186 = y;
        double r207187 = 0.5;
        double r207188 = r207186 + r207187;
        double r207189 = log(r207186);
        double r207190 = r207188 * r207189;
        double r207191 = r207185 - r207190;
        double r207192 = r207191 + r207186;
        double r207193 = z;
        double r207194 = r207192 - r207193;
        return r207194;
}
↓
double f(double x, double y, double z) {
        double r207195 = x;
        double r207196 = y;
        double r207197 = 0.5;
        double r207198 = r207196 + r207197;
        double r207199 = log(r207196);
        double r207200 = r207198 * r207199;
        double r207201 = r207195 - r207200;
        double r207202 = r207201 + r207196;
        double r207203 = z;
        double r207204 = r207202 - r207203;
        return r207204;
}

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 2019323 
(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))