Average Error: 0.1 → 0.1
Time: 30.6s
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 r345662 = x;
        double r345663 = y;
        double r345664 = 0.5;
        double r345665 = r345663 + r345664;
        double r345666 = log(r345663);
        double r345667 = r345665 * r345666;
        double r345668 = r345662 - r345667;
        double r345669 = r345668 + r345663;
        double r345670 = z;
        double r345671 = r345669 - r345670;
        return r345671;
}
↓
double f(double x, double y, double z) {
        double r345672 = x;
        double r345673 = y;
        double r345674 = 0.5;
        double r345675 = r345673 + r345674;
        double r345676 = log(r345673);
        double r345677 = r345675 * r345676;
        double r345678 = r345672 - r345677;
        double r345679 = r345678 + r345673;
        double r345680 = z;
        double r345681 = r345679 - r345680;
        return r345681;
}

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 2019326 
(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))