Average Error: 0.1 → 0.1
Time: 3.9s
Precision: 64
\[\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x\]
↓
\[\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x\]
\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x
↓
\left(\left(\left(\left(x + y\right) + y\right) + x\right) + z\right) + x
double f(double x, double y, double z) {
        double r174962 = x;
        double r174963 = y;
        double r174964 = r174962 + r174963;
        double r174965 = r174964 + r174963;
        double r174966 = r174965 + r174962;
        double r174967 = z;
        double r174968 = r174966 + r174967;
        double r174969 = r174968 + r174962;
        return r174969;
}
↓
double f(double x, double y, double z) {
        double r174970 = x;
        double r174971 = y;
        double r174972 = r174970 + r174971;
        double r174973 = r174972 + r174971;
        double r174974 = r174973 + r174970;
        double r174975 = z;
        double r174976 = r174974 + r174975;
        double r174977 = r174976 + r174970;
        return r174977;
}

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. Final simplification0.1

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

Reproduce

herbie shell --seed 2020002 
(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))