Average Error: 0.1 → 0.1
Time: 27.3s
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 r527315 = x;
        double r527316 = y;
        double r527317 = 0.5;
        double r527318 = r527316 + r527317;
        double r527319 = log(r527316);
        double r527320 = r527318 * r527319;
        double r527321 = r527315 - r527320;
        double r527322 = r527321 + r527316;
        double r527323 = z;
        double r527324 = r527322 - r527323;
        return r527324;
}
↓
double f(double x, double y, double z) {
        double r527325 = x;
        double r527326 = y;
        double r527327 = 0.5;
        double r527328 = r527326 + r527327;
        double r527329 = log(r527326);
        double r527330 = r527328 * r527329;
        double r527331 = r527325 - r527330;
        double r527332 = r527331 + r527326;
        double r527333 = z;
        double r527334 = r527332 - r527333;
        return r527334;
}

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))