Average Error: 0.1 → 0.1
Time: 12.2s
Precision: 64
\[x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5\]
↓
\[x \cdot \left(\left(\left(y + \left(z + z\right)\right) + y\right) + t\right) + y \cdot 5\]
x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5
↓
x \cdot \left(\left(\left(y + \left(z + z\right)\right) + y\right) + t\right) + y \cdot 5
double f(double x, double y, double z, double t) {
        double r184113 = x;
        double r184114 = y;
        double r184115 = z;
        double r184116 = r184114 + r184115;
        double r184117 = r184116 + r184115;
        double r184118 = r184117 + r184114;
        double r184119 = t;
        double r184120 = r184118 + r184119;
        double r184121 = r184113 * r184120;
        double r184122 = 5.0;
        double r184123 = r184114 * r184122;
        double r184124 = r184121 + r184123;
        return r184124;
}
↓
double f(double x, double y, double z, double t) {
        double r184125 = x;
        double r184126 = y;
        double r184127 = z;
        double r184128 = r184127 + r184127;
        double r184129 = r184126 + r184128;
        double r184130 = r184129 + r184126;
        double r184131 = t;
        double r184132 = r184130 + r184131;
        double r184133 = r184125 * r184132;
        double r184134 = 5.0;
        double r184135 = r184126 * r184134;
        double r184136 = r184133 + r184135;
        return r184136;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[x \cdot \left(\left(\left(\left(y + z\right) + z\right) + y\right) + t\right) + y \cdot 5\]
  2. Using strategy rm

  3. Applied associate-+l+0.1

    \[\leadsto x \cdot \left(\left(\color{blue}{\left(y + \left(z + z\right)\right)} + y\right) + t\right) + y \cdot 5\]

  4. Final simplification0.1

    \[\leadsto x \cdot \left(\left(\left(y + \left(z + z\right)\right) + y\right) + t\right) + y \cdot 5\]

Reproduce

herbie shell --seed 2020047 
(FPCore (x y z t)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, B"
  :precision binary64
  (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5)))