Average Error: 0.1 → 0.1
Time: 5.6s
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 r415413 = x;
        double r415414 = y;
        double r415415 = 0.5;
        double r415416 = r415414 + r415415;
        double r415417 = log(r415414);
        double r415418 = r415416 * r415417;
        double r415419 = r415413 - r415418;
        double r415420 = r415419 + r415414;
        double r415421 = z;
        double r415422 = r415420 - r415421;
        return r415422;
}
↓
double f(double x, double y, double z) {
        double r415423 = x;
        double r415424 = y;
        double r415425 = 0.5;
        double r415426 = r415424 + r415425;
        double r415427 = log(r415424);
        double r415428 = r415426 * r415427;
        double r415429 = r415423 - r415428;
        double r415430 = r415429 + r415424;
        double r415431 = z;
        double r415432 = r415430 - r415431;
        return r415432;
}

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 2020083 
(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))