Average Error: 0.1 → 0.1
Time: 5.3s
Precision: 64
\[x \cdot \left(y + z\right) + z \cdot 5\]
↓
\[x \cdot \left(y + z\right) + z \cdot 5\]
x \cdot \left(y + z\right) + z \cdot 5
↓
x \cdot \left(y + z\right) + z \cdot 5
double f(double x, double y, double z) {
        double r507719 = x;
        double r507720 = y;
        double r507721 = z;
        double r507722 = r507720 + r507721;
        double r507723 = r507719 * r507722;
        double r507724 = 5.0;
        double r507725 = r507721 * r507724;
        double r507726 = r507723 + r507725;
        return r507726;
}
↓
double f(double x, double y, double z) {
        double r507727 = x;
        double r507728 = y;
        double r507729 = z;
        double r507730 = r507728 + r507729;
        double r507731 = r507727 * r507730;
        double r507732 = 5.0;
        double r507733 = r507729 * r507732;
        double r507734 = r507731 + r507733;
        return r507734;
}

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

Target

Original0.1
Target0.1
Herbie0.1
\[\left(x + 5\right) \cdot z + x \cdot y\]

Derivation

  1. Initial program 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2019354 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, C"
  :precision binary64

  :herbie-target
  (+ (* (+ x 5) z) (* x y))

  (+ (* x (+ y z)) (* z 5)))