Average Error: 0 → 0
Time: 17.8s
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 r6280185 = x;
        double r6280186 = r6280185 + r6280185;
        double r6280187 = r6280186 + r6280185;
        double r6280188 = r6280187 + r6280185;
        double r6280189 = r6280188 + r6280185;
        return r6280189;
}
↓
double f(double x) {
        double r6280190 = 5.0;
        double r6280191 = x;
        double r6280192 = r6280190 * r6280191;
        return r6280192;
}

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 2019168 +o rules:numerics
(FPCore (x)
  :name "Main:i from "
  (+ (+ (+ (+ x x) x) x) x))