Average Error: 0.2 → 0.2
Time: 4.6s
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 r1114638 = x;
        double r1114639 = y;
        double r1114640 = r1114639 - r1114638;
        double r1114641 = 6.0;
        double r1114642 = r1114640 * r1114641;
        double r1114643 = z;
        double r1114644 = r1114642 * r1114643;
        double r1114645 = r1114638 + r1114644;
        return r1114645;
}
↓
double f(double x, double y, double z) {
        double r1114646 = x;
        double r1114647 = y;
        double r1114648 = r1114647 - r1114646;
        double r1114649 = 6.0;
        double r1114650 = r1114648 * r1114649;
        double r1114651 = z;
        double r1114652 = r1114650 * r1114651;
        double r1114653 = r1114646 + r1114652;
        return r1114653;
}

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 2020025 +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)))