Average Error: 0.3 → 0.2
Time: 16.1s
Precision: 64
\[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
↓
\[x + \left(y - x\right) \cdot \left(6 \cdot z\right)\]
x + \left(\left(y - x\right) \cdot 6\right) \cdot z
↓
x + \left(y - x\right) \cdot \left(6 \cdot z\right)
double f(double x, double y, double z) {
        double r39838999 = x;
        double r39839000 = y;
        double r39839001 = r39839000 - r39838999;
        double r39839002 = 6.0;
        double r39839003 = r39839001 * r39839002;
        double r39839004 = z;
        double r39839005 = r39839003 * r39839004;
        double r39839006 = r39838999 + r39839005;
        return r39839006;
}
↓
double f(double x, double y, double z) {
        double r39839007 = x;
        double r39839008 = y;
        double r39839009 = r39839008 - r39839007;
        double r39839010 = 6.0;
        double r39839011 = z;
        double r39839012 = r39839010 * r39839011;
        double r39839013 = r39839009 * r39839012;
        double r39839014 = r39839007 + r39839013;
        return r39839014;
}

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

Derivation

  1. Initial program 0.3

    \[x + \left(\left(y - x\right) \cdot 6\right) \cdot z\]
  2. Using strategy rm

  3. Applied associate-*l*0.2

    \[\leadsto x + \color{blue}{\left(y - x\right) \cdot \left(6 \cdot z\right)}\]

  4. Final simplification0.2

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

Reproduce

herbie shell --seed 2019172 
(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)))