Average Error: 0.1 → 0.1
Time: 17.3s
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 r285642 = x;
        double r285643 = y;
        double r285644 = 0.5;
        double r285645 = r285643 + r285644;
        double r285646 = log(r285643);
        double r285647 = r285645 * r285646;
        double r285648 = r285642 - r285647;
        double r285649 = r285648 + r285643;
        double r285650 = z;
        double r285651 = r285649 - r285650;
        return r285651;
}
↓
double f(double x, double y, double z) {
        double r285652 = x;
        double r285653 = y;
        double r285654 = 0.5;
        double r285655 = r285653 + r285654;
        double r285656 = log(r285653);
        double r285657 = r285655 * r285656;
        double r285658 = r285652 - r285657;
        double r285659 = r285658 + r285653;
        double r285660 = z;
        double r285661 = r285659 - r285660;
        return r285661;
}

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 2019208 
(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))