Average Error: 0 → 0
Time: 574.0ms
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 r134412 = x;
        double r134413 = r134412 + r134412;
        double r134414 = r134413 + r134412;
        double r134415 = r134414 + r134412;
        double r134416 = r134415 + r134412;
        return r134416;
}
↓
double f(double x) {
        double r134417 = x;
        double r134418 = 5.0;
        double r134419 = r134417 * r134418;
        return r134419;
}

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 2020021 
(FPCore (x)
  :name "Main:i from "
  :precision binary64
  (+ (+ (+ (+ x x) x) x) x))