Average Error: 0.0 → 0.0

Time: 2.6s

Precision: 64

\[x + x \cdot x\]

↓

\[x \cdot x + x\]

double f(double x) {
        double r15383806 = x;
        double r15383807 = r15383806 * r15383806;
        double r15383808 = r15383806 + r15383807;
        return r15383808;
}

↓

double f(double x) {
        double r15383809 = x;
        double r15383810 = r15383809 * r15383809;
        double r15383811 = r15383810 + r15383809;
        return r15383811;
}

x + x \cdot x

↓

x \cdot x + x

Error

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

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 2019102 
(FPCore (x)
  :name "Expression 2, p15"
  :pre (<= 0 x 2)

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

  (+ x (* x x)))