Average Error: 0.3 → 0.3
Time: 24.8s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
↓
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
↓
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
double f(double x, double y, double z) {
        double r485779 = x;
        double r485780 = y;
        double r485781 = r485780 - r485779;
        double r485782 = 6.0;
        double r485783 = r485781 * r485782;
        double r485784 = z;
        double r485785 = r485783 * r485784;
        double r485786 = r485779 + r485785;
        return r485786;
}
↓
double f(double x, double y, double z) {
        double r485787 = x;
        double r485788 = y;
        double r485789 = r485788 - r485787;
        double r485790 = 6.0;
        double r485791 = r485789 * r485790;
        double r485792 = z;
        double r485793 = r485791 * r485792;
        double r485794 = r485787 + r485793;
        return r485794;
}

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

Original0.3
Target0.2
Herbie0.3
\[x - \left(6 \cdot z\right) \cdot \left(x - y\right)\]

Derivation

  1. Initial program 0.3

    \[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]

  2. Final simplification0.3

    \[\leadsto x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]

Reproduce

herbie shell --seed 2019322 +o rules:numerics
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, E"
  :precision binary64

  :herbie-target
  (- x (* (* 6 z) (- x y)))

  (+ x (* (* (- y x) 6) z)))