Average Error: 0.0 → 0.0
Time: 12.1s
Precision: 64
\[0.0 \le x \le 2\]
\[x \cdot \left(x \cdot x\right) + x \cdot x\]
↓
\[{x}^{3} + x \cdot x\]
x \cdot \left(x \cdot x\right) + x \cdot x
↓
{x}^{3} + x \cdot x
double f(double x) {
        double r78294 = x;
        double r78295 = r78294 * r78294;
        double r78296 = r78294 * r78295;
        double r78297 = r78296 + r78295;
        return r78297;
}
↓
double f(double x) {
        double r78298 = x;
        double r78299 = 3.0;
        double r78300 = pow(r78298, r78299);
        double r78301 = r78298 * r78298;
        double r78302 = r78300 + r78301;
        return r78302;
}

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
\[\left(\left(1 + x\right) \cdot x\right) \cdot x\]

Derivation

  1. Initial program 0.0

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

  2. Simplified0.0

    \[\leadsto \color{blue}{{x}^{3} + x \cdot x}\]

  3. Final simplification0.0

    \[\leadsto {x}^{3} + x \cdot x\]

Reproduce

herbie shell --seed 2019325 
(FPCore (x)
  :name "Expression 3, p15"
  :precision binary64
  :pre (<= 0.0 x 2)

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

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