Expression 2, p15

Average Error: 0.0 → 0.0

Time: 9.6s

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 r71891 = x;
        double r71892 = r71891 * r71891;
        double r71893 = r71891 + r71892;
        return r71893;
}

↓

double f(double x) {
        double r71894 = x;
        double r71895 = r71894 * r71894;
        double r71896 = r71894 + r71895;
        return r71896;
}

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 2020045 
(FPCore (x)
  :name "Expression 2, p15"
  :precision binary64
  :pre (<= 0.0 x 2)

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

  (+ x (* x x)))