Average Error: 0 → 0
Time: 636.0ms
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 r3208626 = x;
        double r3208627 = r3208626 + r3208626;
        double r3208628 = r3208627 + r3208626;
        double r3208629 = r3208628 + r3208626;
        double r3208630 = r3208629 + r3208626;
        return r3208630;
}
↓
double f(double x) {
        double r3208631 = x;
        double r3208632 = 5.0;
        double r3208633 = r3208631 * r3208632;
        return r3208633;
}

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 2019172 +o rules:numerics
(FPCore (x)
  :name "Main:i from "
  (+ (+ (+ (+ x x) x) x) x))