Expression 2, p15

Average Error: 0.0 → 0.0

Time: 7.5s

Precision: 64

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

\[0.0 \le x \le 2\]

Math

\[x + x \cdot x\]

↓

\[x + x \cdot x\]

C

double f(double x) {
        double r107986 = x;
        double r107987 = r107986 * r107986;
        double r107988 = r107986 + r107987;
        return r107988;
}

↓

double f(double x) {
        double r107989 = x;
        double r107990 = r107989 * r107989;
        double r107991 = r107989 + r107990;
        return r107991;
}

Error

Bits error versus x

Target

Original	0.0
Target	0.0
Herbie	0.0

\[\left(1 + x\right) \cdot x\]

Derivation

1. Initial program 0.0

   \[x + x \cdot x\]

2. Final simplification 0.0

   \[\leadsto x + x \cdot x\]

Reproduce

herbie shell --seed 2020042 
(FPCore (x)
  :name "Expression 2, p15"
  :precision binary64
  :pre (<= 0.0 x 2)

  :herbie-target
  (* (+ 1 x) x)

  (+ x (* x x)))