Average Error: 0.3 → 0.3
Time: 4.2s
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 r745375 = x;
        double r745376 = y;
        double r745377 = r745376 - r745375;
        double r745378 = 6.0;
        double r745379 = r745377 * r745378;
        double r745380 = z;
        double r745381 = r745379 * r745380;
        double r745382 = r745375 + r745381;
        return r745382;
}
↓
double f(double x, double y, double z) {
        double r745383 = x;
        double r745384 = y;
        double r745385 = r745384 - r745383;
        double r745386 = 6.0;
        double r745387 = r745385 * r745386;
        double r745388 = z;
        double r745389 = r745387 * r745388;
        double r745390 = r745383 + r745389;
        return r745390;
}

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 
(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)))