Average Error: 0.3 → 0.3
Time: 3.6s
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 r905519 = x;
        double r905520 = y;
        double r905521 = r905520 - r905519;
        double r905522 = 6.0;
        double r905523 = r905521 * r905522;
        double r905524 = z;
        double r905525 = r905523 * r905524;
        double r905526 = r905519 + r905525;
        return r905526;
}
↓
double f(double x, double y, double z) {
        double r905527 = x;
        double r905528 = y;
        double r905529 = r905528 - r905527;
        double r905530 = 6.0;
        double r905531 = r905529 * r905530;
        double r905532 = z;
        double r905533 = r905531 * r905532;
        double r905534 = r905527 + r905533;
        return r905534;
}

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

Original0.3
Target0.2
Herbie0.3
\[x - \left(6 \cdot z\right) \cdot \left(x - y\right)\]

Derivation

  1. Initial program 0.3

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

  2. Final simplification0.3

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

Reproduce

herbie shell --seed 2020024 +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)))