Average Error: 0.1 → 0.1
Time: 11.9s
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 r258503 = x;
        double r258504 = y;
        double r258505 = 0.5;
        double r258506 = r258504 + r258505;
        double r258507 = log(r258504);
        double r258508 = r258506 * r258507;
        double r258509 = r258503 - r258508;
        double r258510 = r258509 + r258504;
        double r258511 = z;
        double r258512 = r258510 - r258511;
        return r258512;
}
↓
double f(double x, double y, double z) {
        double r258513 = x;
        double r258514 = y;
        double r258515 = 0.5;
        double r258516 = r258514 + r258515;
        double r258517 = log(r258514);
        double r258518 = r258516 * r258517;
        double r258519 = r258513 - r258518;
        double r258520 = r258519 + r258514;
        double r258521 = z;
        double r258522 = r258520 - r258521;
        return r258522;
}

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 2019308 
(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))