Average Error: 0.2 → 0.2
Time: 2.8s
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 r687957 = x;
        double r687958 = y;
        double r687959 = r687958 - r687957;
        double r687960 = 6.0;
        double r687961 = r687959 * r687960;
        double r687962 = z;
        double r687963 = r687961 * r687962;
        double r687964 = r687957 + r687963;
        return r687964;
}
↓
double f(double x, double y, double z) {
        double r687965 = x;
        double r687966 = y;
        double r687967 = r687966 - r687965;
        double r687968 = 6.0;
        double r687969 = r687967 * r687968;
        double r687970 = z;
        double r687971 = r687969 * r687970;
        double r687972 = r687965 + r687971;
        return r687972;
}

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)))