Average Error: 0 → 0
Time: 851.0ms
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 r5114305 = x;
        double r5114306 = r5114305 + r5114305;
        double r5114307 = r5114306 + r5114305;
        double r5114308 = r5114307 + r5114305;
        double r5114309 = r5114308 + r5114305;
        return r5114309;
}
↓
double f(double x) {
        double r5114310 = 5.0;
        double r5114311 = x;
        double r5114312 = r5114310 * r5114311;
        return r5114312;
}

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))