Average Error: 0 → 0
Time: 707.0ms
Precision: 64
\[\left(\left(\left(x + x\right) + x\right) + x\right) + x\]
↓
\[x \cdot 5\]
\left(\left(\left(x + x\right) + x\right) + x\right) + x
↓
x \cdot 5
double f(double x) {
        double r4160839 = x;
        double r4160840 = r4160839 + r4160839;
        double r4160841 = r4160840 + r4160839;
        double r4160842 = r4160841 + r4160839;
        double r4160843 = r4160842 + r4160839;
        return r4160843;
}
↓
double f(double x) {
        double r4160844 = x;
        double r4160845 = 5.0;
        double r4160846 = r4160844 * r4160845;
        return r4160846;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[\left(\left(\left(x + x\right) + x\right) + x\right) + x\]

  2. Simplified0

    \[\leadsto \color{blue}{x \cdot 5}\]

  3. Final simplification0

    \[\leadsto x \cdot 5\]

Reproduce

herbie shell --seed 2019171 +o rules:numerics
(FPCore (x)
  :name "Main:i from "
  (+ (+ (+ (+ x x) x) x) x))