Average Error: 0 → 0
Time: 21.0s
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 r2191504 = x;
        double r2191505 = r2191504 + r2191504;
        double r2191506 = r2191505 + r2191504;
        double r2191507 = r2191506 + r2191504;
        double r2191508 = r2191507 + r2191504;
        return r2191508;
}
↓
double f(double x) {
        double r2191509 = 5.0;
        double r2191510 = x;
        double r2191511 = r2191509 * r2191510;
        return r2191511;
}

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 2019165 +o rules:numerics
(FPCore (x)
  :name "Main:i from "
  (+ (+ (+ (+ x x) x) x) x))