Expression 2, p15

Average Error: 0.0 → 0.0

Time: 330.0ms

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 r69890 = x;
        double r69891 = r69890 * r69890;
        double r69892 = r69890 + r69891;
        return r69892;
}

↓

double f(double x) {
        double r69893 = x;
        double r69894 = r69893 * r69893;
        double r69895 = r69893 + r69894;
        return r69895;
}

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 2020043 
(FPCore (x)
  :name "Expression 2, p15"
  :precision binary64
  :pre (<= 0.0 x 2)

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

  (+ x (* x x)))