Average Error: 0.2 → 0.2
Time: 14.6s
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 r829830 = x;
        double r829831 = y;
        double r829832 = r829831 - r829830;
        double r829833 = 6.0;
        double r829834 = r829832 * r829833;
        double r829835 = z;
        double r829836 = r829834 * r829835;
        double r829837 = r829830 + r829836;
        return r829837;
}
↓
double f(double x, double y, double z) {
        double r829838 = x;
        double r829839 = y;
        double r829840 = r829839 - r829838;
        double r829841 = 6.0;
        double r829842 = r829840 * r829841;
        double r829843 = z;
        double r829844 = r829842 * r829843;
        double r829845 = r829838 + r829844;
        return r829845;
}

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

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

Derivation

  1. Initial program 0.2

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

  2. Final simplification0.2

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

Reproduce

herbie shell --seed 2020046 
(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)))