Average Error: 0.1 → 0.1
Time: 10.3s
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 r460615 = x;
        double r460616 = y;
        double r460617 = 0.5;
        double r460618 = r460616 + r460617;
        double r460619 = log(r460616);
        double r460620 = r460618 * r460619;
        double r460621 = r460615 - r460620;
        double r460622 = r460621 + r460616;
        double r460623 = z;
        double r460624 = r460622 - r460623;
        return r460624;
}
↓
double f(double x, double y, double z) {
        double r460625 = x;
        double r460626 = y;
        double r460627 = 0.5;
        double r460628 = r460626 + r460627;
        double r460629 = log(r460626);
        double r460630 = r460628 * r460629;
        double r460631 = r460625 - r460630;
        double r460632 = r460631 + r460626;
        double r460633 = z;
        double r460634 = r460632 - r460633;
        return r460634;
}

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 2020034 
(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))