Average Error: 0.1 → 0.1
Time: 13.5s
Precision: 64
\[\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x\]
↓
\[\left(\left(\left(y + x\right) + \left(y + x\right)\right) + z\right) + x\]
\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x
↓
\left(\left(\left(y + x\right) + \left(y + x\right)\right) + z\right) + x
double f(double x, double y, double z) {
        double r8416334 = x;
        double r8416335 = y;
        double r8416336 = r8416334 + r8416335;
        double r8416337 = r8416336 + r8416335;
        double r8416338 = r8416337 + r8416334;
        double r8416339 = z;
        double r8416340 = r8416338 + r8416339;
        double r8416341 = r8416340 + r8416334;
        return r8416341;
}
↓
double f(double x, double y, double z) {
        double r8416342 = y;
        double r8416343 = x;
        double r8416344 = r8416342 + r8416343;
        double r8416345 = r8416344 + r8416344;
        double r8416346 = z;
        double r8416347 = r8416345 + r8416346;
        double r8416348 = r8416347 + r8416343;
        return r8416348;
}

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

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

  4. Simplified0.1

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

  5. Final simplification0.1

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

Reproduce

herbie shell --seed 2019179 
(FPCore (x y z)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendInside from plot-0.2.3.4"
  (+ (+ (+ (+ (+ x y) y) x) z) x))