Average Error: 23.7 → 23.7
Time: 1.2s
Precision: binary64
\[\sqrt{16 \cdot {x}^{2} + 1} - 4 \cdot x\]
↓
\[\sqrt{16 \cdot {x}^{2} + 1} - 4 \cdot x\]
\sqrt{16 \cdot {x}^{2} + 1} - 4 \cdot x
↓
\sqrt{16 \cdot {x}^{2} + 1} - 4 \cdot x
double code(double x) {
	return ((double) (((double) sqrt(((double) (((double) (16.0 * ((double) pow(x, 2.0)))) + 1.0)))) - ((double) (4.0 * x))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (((double) (16.0 * ((double) pow(x, 2.0)))) + 1.0)))) - ((double) (4.0 * x))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 23.7

    \[\sqrt{16 \cdot {x}^{2} + 1} - 4 \cdot x\]

  2. Final simplification23.7

    \[\leadsto \sqrt{16 \cdot {x}^{2} + 1} - 4 \cdot x\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (sqrt (+ (* 16 (pow x 2)) 1)) (* 4 x))"
  :precision binary64
  (- (sqrt (+ (* 16.0 (pow x 2.0)) 1.0)) (* 4.0 x)))