Average Error: 0.1 → 0.1
Time: 15.7s
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 r357336 = x;
        double r357337 = y;
        double r357338 = z;
        double r357339 = r357337 + r357338;
        double r357340 = r357336 * r357339;
        double r357341 = 5.0;
        double r357342 = r357338 * r357341;
        double r357343 = r357340 + r357342;
        return r357343;
}
↓
double f(double x, double y, double z) {
        double r357344 = x;
        double r357345 = y;
        double r357346 = z;
        double r357347 = r357345 + r357346;
        double r357348 = r357344 * r357347;
        double r357349 = 5.0;
        double r357350 = r357346 * r357349;
        double r357351 = r357348 + r357350;
        return r357351;
}

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 2019306 +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)))