Average Error: 0 → 0
Time: 692.0ms
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 r5745105 = x;
        double r5745106 = r5745105 + r5745105;
        double r5745107 = r5745106 + r5745105;
        double r5745108 = r5745107 + r5745105;
        double r5745109 = r5745108 + r5745105;
        return r5745109;
}
↓
double f(double x) {
        double r5745110 = x;
        double r5745111 = 5.0;
        double r5745112 = r5745110 * r5745111;
        return r5745112;
}

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))