Expression 2, p15

Average Error: 0.0 → 0.0

Time: 6.9s

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 r85349 = x;
        double r85350 = r85349 * r85349;
        double r85351 = r85349 + r85350;
        return r85351;
}

↓

double f(double x) {
        double r85352 = x;
        double r85353 = r85352 * r85352;
        double r85354 = r85352 + r85353;
        return r85354;
}

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)))