Average Error: 4.2 → 4.1
Time: 1.2s
Precision: binary64
\[2.625 - x1 \cdot \left(1 - \left(x2 \cdot x2\right) \cdot x2\right)\]
↓
\[\left({x2}^{3} - 1\right) \cdot x1 + 2.625\]
2.625 - x1 \cdot \left(1 - \left(x2 \cdot x2\right) \cdot x2\right)
↓
\left({x2}^{3} - 1\right) \cdot x1 + 2.625
double code(double x1, double x2) {
	return ((double) (2.625 - ((double) (x1 * ((double) (1.0 - ((double) (((double) (x2 * x2)) * x2))))))));
}
↓
double code(double x1, double x2) {
	return ((double) (((double) (((double) (((double) pow(x2, 3.0)) - 1.0)) * x1)) + 2.625));
}

Error

Bits error versus x1

Bits error versus x2

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 4.2

    \[2.625 - x1 \cdot \left(1 - \left(x2 \cdot x2\right) \cdot x2\right)\]

  2. Simplified4.1

    \[\leadsto \color{blue}{\left({x2}^{3} - 1\right) \cdot x1 + 2.625}\]

  3. Final simplification4.1

    \[\leadsto \left({x2}^{3} - 1\right) \cdot x1 + 2.625\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x1 x2)
  :name "(- 2.625 (* x1 (- 1.0 (* (* x2 x2) x2))))"
  :precision binary64
  (- 2.625 (* x1 (- 1.0 (* (* x2 x2) x2)))))