Average Error: 0.1 → 0.1
Time: 39.6s
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 r233447 = x;
        double r233448 = y;
        double r233449 = 0.5;
        double r233450 = r233448 + r233449;
        double r233451 = log(r233448);
        double r233452 = r233450 * r233451;
        double r233453 = r233447 - r233452;
        double r233454 = r233453 + r233448;
        double r233455 = z;
        double r233456 = r233454 - r233455;
        return r233456;
}
↓
double f(double x, double y, double z) {
        double r233457 = x;
        double r233458 = y;
        double r233459 = 0.5;
        double r233460 = r233458 + r233459;
        double r233461 = log(r233458);
        double r233462 = r233460 * r233461;
        double r233463 = r233457 - r233462;
        double r233464 = r233463 + r233458;
        double r233465 = z;
        double r233466 = r233464 - r233465;
        return r233466;
}

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 2019306 
(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))