Average Error: 0.1 → 0.1
Time: 8.3s
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 r295671 = x;
        double r295672 = y;
        double r295673 = 0.5;
        double r295674 = r295672 + r295673;
        double r295675 = log(r295672);
        double r295676 = r295674 * r295675;
        double r295677 = r295671 - r295676;
        double r295678 = r295677 + r295672;
        double r295679 = z;
        double r295680 = r295678 - r295679;
        return r295680;
}
↓
double f(double x, double y, double z) {
        double r295681 = x;
        double r295682 = y;
        double r295683 = 0.5;
        double r295684 = r295682 + r295683;
        double r295685 = log(r295682);
        double r295686 = r295684 * r295685;
        double r295687 = r295681 - r295686;
        double r295688 = r295687 + r295682;
        double r295689 = z;
        double r295690 = r295688 - r295689;
        return r295690;
}

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 2019356 
(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))