Average Error: 0.0 → 0.0
Time: 51.8s
Precision: 64
\[0 \le x \le 2\]
\[x \cdot \left(x \cdot x\right) + x \cdot x\]
↓
\[x \cdot x + x \cdot \left(x \cdot x\right)\]
x \cdot \left(x \cdot x\right) + x \cdot x
↓
x \cdot x + x \cdot \left(x \cdot x\right)
double f(double x) {
        double r16017805 = x;
        double r16017806 = r16017805 * r16017805;
        double r16017807 = r16017805 * r16017806;
        double r16017808 = r16017807 + r16017806;
        return r16017808;
}
↓
double f(double x) {
        double r16017809 = x;
        double r16017810 = r16017809 * r16017809;
        double r16017811 = r16017809 * r16017810;
        double r16017812 = r16017810 + r16017811;
        return r16017812;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[\left(\left(1.0 + x\right) \cdot x\right) \cdot x\]

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019107 
(FPCore (x)
  :name "Expression 3, p15"
  :pre (<= 0 x 2)

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

  (+ (* x (* x x)) (* x x)))