Average Error: 0 → 0
Time: 958.0ms
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 r105649 = x;
        double r105650 = r105649 + r105649;
        double r105651 = r105650 + r105649;
        double r105652 = r105651 + r105649;
        double r105653 = r105652 + r105649;
        return r105653;
}
↓
double f(double x) {
        double r105654 = x;
        double r105655 = 5.0;
        double r105656 = r105654 * r105655;
        return r105656;
}

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 2019199 +o rules:numerics
(FPCore (x)
  :name "Main:i from "
  (+ (+ (+ (+ x x) x) x) x))