Average Error: 0.0 → 0.0

Time: 31.2s

Precision: 64

\[0.0 \le x \le 2.0\]

\[x + x \cdot x\]

↓

\[x \cdot x + x\]

x + x \cdot x

↓

x \cdot x + x

double f(double x) {
        double r4918610 = x;
        double r4918611 = r4918610 * r4918610;
        double r4918612 = r4918610 + r4918611;
        return r4918612;
}

↓

double f(double x) {
        double r4918613 = x;
        double r4918614 = r4918613 * r4918613;
        double r4918615 = r4918614 + r4918613;
        return r4918615;
}

Error

The X axis uses an exponential scale — Bits error versus `x`

Try it out

In
Out

Enter valid numbers for all inputs

Target

Original	0.0
Target	0.0
Herbie	0.0

\[\left(1.0 + x\right) \cdot x\]

Derivation

Initial program 0.0
\[x + x \cdot x\]
Final simplification0.0
\[\leadsto x \cdot x + x\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x)
  :name "Expression 2, p15"
  :pre (<= 0.0 x 2.0)

  :herbie-target
  (* (+ 1.0 x) x)

  (+ x (* x x)))