Average Error: 0 → 0
Time: 8.4s
Precision: 64
\[\left(\left(\left(x + x\right) + x\right) + x\right) + x\]
↓
\[5 \cdot x\]
\left(\left(\left(x + x\right) + x\right) + x\right) + x
↓
5 \cdot x
double f(double x) {
        double r5529956 = x;
        double r5529957 = r5529956 + r5529956;
        double r5529958 = r5529957 + r5529956;
        double r5529959 = r5529958 + r5529956;
        double r5529960 = r5529959 + r5529956;
        return r5529960;
}
↓
double f(double x) {
        double r5529961 = 5.0;
        double r5529962 = x;
        double r5529963 = r5529961 * r5529962;
        return r5529963;
}

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

    \[\leadsto \color{blue}{5 \cdot x}\]

  3. Final simplification0

    \[\leadsto 5 \cdot x\]

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(FPCore (x)
  :name "Main:i from "
  (+ (+ (+ (+ x x) x) x) x))