Main:i from

Average Error: 0 → 0

Time: 20.3s

Precision: 64

• Falling back on racket egraph because egg-herbie package not installed

Math

\[\left(\left(\left(x + x\right) + x\right) + x\right) + x\]

↓

\[x \cdot 5\]

C

double f(double x) {
        double r148581 = x;
        double r148582 = r148581 + r148581;
        double r148583 = r148582 + r148581;
        double r148584 = r148583 + r148581;
        double r148585 = r148584 + r148581;
        return r148585;
}

↓

double f(double x) {
        double r148586 = x;
        double r148587 = 5.0;
        double r148588 = r148586 * r148587;
        return r148588;
}

Error

Bits error versus x

Derivation

1. Initial program 0

   \[\left(\left(\left(x + x\right) + x\right) + x\right) + x\]

2. Simplified 0

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

3. Final simplification 0

   \[\leadsto x \cdot 5\]

Reproduce

herbie shell --seed 2020047 
(FPCore (x)
  :name "Main:i from "
  :precision binary64
  (+ (+ (+ (+ x x) x) x) x))