Expression 2, p15

Average Error: 0.0 → 0.0

Time: 7.1s

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 r86336 = x;
        double r86337 = r86336 * r86336;
        double r86338 = r86336 + r86337;
        return r86338;
}

↓

double f(double x) {
        double r86339 = x;
        double r86340 = r86339 * r86339;
        double r86341 = r86339 + r86340;
        return r86341;
}

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 2020047 
(FPCore (x)
  :name "Expression 2, p15"
  :precision binary64
  :pre (<= 0.0 x 2)

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

  (+ x (* x x)))