Main:i from

Average Error: 0 → 0

Time: 313.0ms

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 r112802 = x;
        double r112803 = r112802 + r112802;
        double r112804 = r112803 + r112802;
        double r112805 = r112804 + r112802;
        double r112806 = r112805 + r112802;
        return r112806;
}

↓

double f(double x) {
        double r112807 = x;
        double r112808 = 5.0;
        double r112809 = r112807 * r112808;
        return r112809;
}

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 2019350 
(FPCore (x)
  :name "Main:i from "
  :precision binary64
  (+ (+ (+ (+ x x) x) x) x))