Average Error: 0.1 → 0.1
Time: 24.0s
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 r433817 = x;
        double r433818 = y;
        double r433819 = 0.5;
        double r433820 = r433818 + r433819;
        double r433821 = log(r433818);
        double r433822 = r433820 * r433821;
        double r433823 = r433817 - r433822;
        double r433824 = r433823 + r433818;
        double r433825 = z;
        double r433826 = r433824 - r433825;
        return r433826;
}
↓
double f(double x, double y, double z) {
        double r433827 = x;
        double r433828 = y;
        double r433829 = 0.5;
        double r433830 = r433828 + r433829;
        double r433831 = log(r433828);
        double r433832 = r433830 * r433831;
        double r433833 = r433827 - r433832;
        double r433834 = r433833 + r433828;
        double r433835 = z;
        double r433836 = r433834 - r433835;
        return r433836;
}

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 2020045 
(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))