Average Error: 0.1 → 0.1
Time: 15.1s
Precision: 64
\[\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x\]
↓
\[\left(\left(\left(x + y\right) + y\right) + x\right) + \left(z + x\right)\]
\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x
↓
\left(\left(\left(x + y\right) + y\right) + x\right) + \left(z + x\right)
double f(double x, double y, double z) {
        double r118237 = x;
        double r118238 = y;
        double r118239 = r118237 + r118238;
        double r118240 = r118239 + r118238;
        double r118241 = r118240 + r118237;
        double r118242 = z;
        double r118243 = r118241 + r118242;
        double r118244 = r118243 + r118237;
        return r118244;
}
↓
double f(double x, double y, double z) {
        double r118245 = x;
        double r118246 = y;
        double r118247 = r118245 + r118246;
        double r118248 = r118247 + r118246;
        double r118249 = r118248 + r118245;
        double r118250 = z;
        double r118251 = r118250 + r118245;
        double r118252 = r118249 + r118251;
        return r118252;
}

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

Derivation

  1. Initial program 0.1

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

  3. Applied associate-+l+0.1

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

  4. Final simplification0.1

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

Reproduce

herbie shell --seed 2019323 
(FPCore (x y z)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendInside from plot-0.2.3.4"
  :precision binary64
  (+ (+ (+ (+ (+ x y) y) x) z) x))