Average Error: 0.2 → 0.2
Time: 23.6s
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 r544723 = x;
        double r544724 = y;
        double r544725 = r544724 - r544723;
        double r544726 = 6.0;
        double r544727 = r544725 * r544726;
        double r544728 = z;
        double r544729 = r544727 * r544728;
        double r544730 = r544723 + r544729;
        return r544730;
}
↓
double f(double x, double y, double z) {
        double r544731 = x;
        double r544732 = y;
        double r544733 = r544732 - r544731;
        double r544734 = 6.0;
        double r544735 = r544733 * r544734;
        double r544736 = z;
        double r544737 = r544735 * r544736;
        double r544738 = r544731 + r544737;
        return r544738;
}

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 2019347 +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)))