Average Error: 0.1 → 0.1
Time: 7.7s
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 r344724 = x;
        double r344725 = y;
        double r344726 = 0.5;
        double r344727 = r344725 + r344726;
        double r344728 = log(r344725);
        double r344729 = r344727 * r344728;
        double r344730 = r344724 - r344729;
        double r344731 = r344730 + r344725;
        double r344732 = z;
        double r344733 = r344731 - r344732;
        return r344733;
}
↓
double f(double x, double y, double z) {
        double r344734 = x;
        double r344735 = y;
        double r344736 = 0.5;
        double r344737 = r344735 + r344736;
        double r344738 = log(r344735);
        double r344739 = r344737 * r344738;
        double r344740 = r344734 - r344739;
        double r344741 = r344740 + r344735;
        double r344742 = z;
        double r344743 = r344741 - r344742;
        return r344743;
}

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 2020024 
(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))