Average Error: 0.1 → 0.1
Time: 17.9s
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 r522695 = x;
        double r522696 = y;
        double r522697 = 0.5;
        double r522698 = r522696 + r522697;
        double r522699 = log(r522696);
        double r522700 = r522698 * r522699;
        double r522701 = r522695 - r522700;
        double r522702 = r522701 + r522696;
        double r522703 = z;
        double r522704 = r522702 - r522703;
        return r522704;
}
↓
double f(double x, double y, double z) {
        double r522705 = x;
        double r522706 = y;
        double r522707 = 0.5;
        double r522708 = r522706 + r522707;
        double r522709 = log(r522706);
        double r522710 = r522708 * r522709;
        double r522711 = r522705 - r522710;
        double r522712 = r522711 + r522706;
        double r522713 = z;
        double r522714 = r522712 - r522713;
        return r522714;
}

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 2020046 
(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))