Average Error: 43.6 → 43.6
Time: 1.4s
Precision: binary64
\[x - \frac{{x}^{5} - y}{5 \cdot {x}^{4}}\]
↓
\[x - \frac{{x}^{5} - y}{5 \cdot {x}^{4}}\]
x - \frac{{x}^{5} - y}{5 \cdot {x}^{4}}
↓
x - \frac{{x}^{5} - y}{5 \cdot {x}^{4}}
double code(double x, double y) {
	return ((double) (x - ((double) (((double) (((double) pow(x, 5.0)) - y)) / ((double) (5.0 * ((double) pow(x, 4.0))))))));
}
↓
double code(double x, double y) {
	return ((double) (x - ((double) (((double) (((double) pow(x, 5.0)) - y)) / ((double) (5.0 * ((double) pow(x, 4.0))))))));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 43.6

    \[x - \frac{{x}^{5} - y}{5 \cdot {x}^{4}}\]

  2. Final simplification43.6

    \[\leadsto x - \frac{{x}^{5} - y}{5 \cdot {x}^{4}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(- x (/ (- (pow x 5) y) (* 5 (pow x 4))))"
  :precision binary64
  (- x (/ (- (pow x 5.0) y) (* 5.0 (pow x 4.0)))))