Average Error: 0 → 0
Time: 758.0ms
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 r87223 = x;
        double r87224 = r87223 + r87223;
        double r87225 = r87224 + r87223;
        double r87226 = r87225 + r87223;
        double r87227 = r87226 + r87223;
        return r87227;
}
↓
double f(double x) {
        double r87228 = x;
        double r87229 = 5.0;
        double r87230 = r87228 * r87229;
        return r87230;
}

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 2019174 +o rules:numerics
(FPCore (x)
  :name "Main:i from "
  (+ (+ (+ (+ x x) x) x) x))