Average Error: 0.1 → 0.1
Time: 16.4s
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 r274021 = x;
        double r274022 = y;
        double r274023 = 0.5;
        double r274024 = r274022 + r274023;
        double r274025 = log(r274022);
        double r274026 = r274024 * r274025;
        double r274027 = r274021 - r274026;
        double r274028 = r274027 + r274022;
        double r274029 = z;
        double r274030 = r274028 - r274029;
        return r274030;
}
↓
double f(double x, double y, double z) {
        double r274031 = x;
        double r274032 = y;
        double r274033 = 0.5;
        double r274034 = r274032 + r274033;
        double r274035 = log(r274032);
        double r274036 = r274034 * r274035;
        double r274037 = r274031 - r274036;
        double r274038 = r274037 + r274032;
        double r274039 = z;
        double r274040 = r274038 - r274039;
        return r274040;
}

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 2019212 
(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))