Average Error: 0.2 → 0.2
Time: 14.1s
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 r904069 = x;
        double r904070 = y;
        double r904071 = r904070 - r904069;
        double r904072 = 6.0;
        double r904073 = r904071 * r904072;
        double r904074 = z;
        double r904075 = r904073 * r904074;
        double r904076 = r904069 + r904075;
        return r904076;
}
↓
double f(double x, double y, double z) {
        double r904077 = x;
        double r904078 = y;
        double r904079 = r904078 - r904077;
        double r904080 = 6.0;
        double r904081 = r904079 * r904080;
        double r904082 = z;
        double r904083 = r904081 * r904082;
        double r904084 = r904077 + r904083;
        return r904084;
}

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 2019350 
(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)))