Expression 2, p15

Average Error: 0.0 → 0.0

Time: 366.0ms

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 r242287 = x;
        double r242288 = r242287 * r242287;
        double r242289 = r242287 + r242288;
        return r242289;
}

↓

double f(double x) {
        double r242290 = x;
        double r242291 = r242290 * r242290;
        double r242292 = r242290 + r242291;
        return r242292;
}

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 2019350 
(FPCore (x)
  :name "Expression 2, p15"
  :precision binary64
  :pre (<= 0.0 x 2)

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

  (+ x (* x x)))