Average Error: 0 → 0
Time: 17.4s
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 r16040853 = x;
        double r16040854 = r16040853 + r16040853;
        double r16040855 = r16040854 + r16040853;
        double r16040856 = r16040855 + r16040853;
        double r16040857 = r16040856 + r16040853;
        return r16040857;
}
↓
double f(double x) {
        double r16040858 = x;
        double r16040859 = 5.0;
        double r16040860 = r16040858 * r16040859;
        return r16040860;
}

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 2019173 +o rules:numerics
(FPCore (x)
  :name "Main:i from "
  (+ (+ (+ (+ x x) x) x) x))