Average Error: 0.1 → 0.1
Time: 18.0s
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 r488428 = x;
        double r488429 = y;
        double r488430 = 0.5;
        double r488431 = r488429 + r488430;
        double r488432 = log(r488429);
        double r488433 = r488431 * r488432;
        double r488434 = r488428 - r488433;
        double r488435 = r488434 + r488429;
        double r488436 = z;
        double r488437 = r488435 - r488436;
        return r488437;
}
↓
double f(double x, double y, double z) {
        double r488438 = x;
        double r488439 = y;
        double r488440 = 0.5;
        double r488441 = r488439 + r488440;
        double r488442 = log(r488439);
        double r488443 = r488441 * r488442;
        double r488444 = r488438 - r488443;
        double r488445 = r488444 + r488439;
        double r488446 = z;
        double r488447 = r488445 - r488446;
        return r488447;
}

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 2020047 
(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))