Average Error: 0.1 → 0.1
Time: 8.7s
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 r369166 = x;
        double r369167 = y;
        double r369168 = 0.5;
        double r369169 = r369167 + r369168;
        double r369170 = log(r369167);
        double r369171 = r369169 * r369170;
        double r369172 = r369166 - r369171;
        double r369173 = r369172 + r369167;
        double r369174 = z;
        double r369175 = r369173 - r369174;
        return r369175;
}
↓
double f(double x, double y, double z) {
        double r369176 = x;
        double r369177 = y;
        double r369178 = 0.5;
        double r369179 = r369177 + r369178;
        double r369180 = log(r369177);
        double r369181 = r369179 * r369180;
        double r369182 = r369176 - r369181;
        double r369183 = r369182 + r369177;
        double r369184 = z;
        double r369185 = r369183 - r369184;
        return r369185;
}

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 2020049 
(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))