Average Error: 0.1 → 0.1
Time: 9.8s
Precision: 64
\[\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x\]
↓
\[\left(\left(\left(x + \left(y + y\right)\right) + x\right) + z\right) + x\]
\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x
↓
\left(\left(\left(x + \left(y + y\right)\right) + x\right) + z\right) + x
double f(double x, double y, double z) {
        double r184520 = x;
        double r184521 = y;
        double r184522 = r184520 + r184521;
        double r184523 = r184522 + r184521;
        double r184524 = r184523 + r184520;
        double r184525 = z;
        double r184526 = r184524 + r184525;
        double r184527 = r184526 + r184520;
        return r184527;
}
↓
double f(double x, double y, double z) {
        double r184528 = x;
        double r184529 = y;
        double r184530 = r184529 + r184529;
        double r184531 = r184528 + r184530;
        double r184532 = r184531 + r184528;
        double r184533 = z;
        double r184534 = r184532 + r184533;
        double r184535 = r184534 + r184528;
        return r184535;
}

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

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

  4. Final simplification0.1

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

Reproduce

herbie shell --seed 2019322 
(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))