Average Error: 0.3 → 0.2
Time: 6.8s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6.0\right) \cdot z\]
↓
\[x + \left(y - x\right) \cdot \left(6.0 \cdot z\right)\]
x + \left(\left(y - x\right) \cdot 6.0\right) \cdot z
↓
x + \left(y - x\right) \cdot \left(6.0 \cdot z\right)
double f(double x, double y, double z) {
        double r15603527 = x;
        double r15603528 = y;
        double r15603529 = r15603528 - r15603527;
        double r15603530 = 6.0;
        double r15603531 = r15603529 * r15603530;
        double r15603532 = z;
        double r15603533 = r15603531 * r15603532;
        double r15603534 = r15603527 + r15603533;
        return r15603534;
}
↓
double f(double x, double y, double z) {
        double r15603535 = x;
        double r15603536 = y;
        double r15603537 = r15603536 - r15603535;
        double r15603538 = 6.0;
        double r15603539 = z;
        double r15603540 = r15603538 * r15603539;
        double r15603541 = r15603537 * r15603540;
        double r15603542 = r15603535 + r15603541;
        return r15603542;
}

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
Herbie0.2
\[x - \left(6.0 \cdot z\right) \cdot \left(x - y\right)\]

Derivation

  1. Initial program 0.3

    \[x + \left(\left(y - x\right) \cdot 6.0\right) \cdot z\]
  2. Using strategy rm

  3. Applied associate-*l*0.2

    \[\leadsto x + \color{blue}{\left(y - x\right) \cdot \left(6.0 \cdot z\right)}\]

  4. Final simplification0.2

    \[\leadsto x + \left(y - x\right) \cdot \left(6.0 \cdot z\right)\]

Reproduce

herbie shell --seed 2019156 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, E"

  :herbie-target
  (- x (* (* 6.0 z) (- x y)))

  (+ x (* (* (- y x) 6.0) z)))