Average Error: 18.3 → 18.3
Time: 959.0ms
Precision: binary64
\[\frac{c + \sqrt{c \cdot c + 4}}{2} - x\]
↓
\[\frac{c + \sqrt{c \cdot c + 4}}{2} - x\]
\frac{c + \sqrt{c \cdot c + 4}}{2} - x
↓
\frac{c + \sqrt{c \cdot c + 4}}{2} - x
double code(double c, double x) {
	return ((double) (((double) (((double) (c + ((double) sqrt(((double) (((double) (c * c)) + 4.0)))))) / 2.0)) - x));
}
↓
double code(double c, double x) {
	return ((double) (((double) (((double) (c + ((double) sqrt(((double) (((double) (c * c)) + 4.0)))))) / 2.0)) - x));
}

Error

Bits error versus c

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 18.3

    \[\frac{c + \sqrt{c \cdot c + 4}}{2} - x\]

  2. Final simplification18.3

    \[\leadsto \frac{c + \sqrt{c \cdot c + 4}}{2} - x\]

Reproduce

herbie shell --seed 2020153 
(FPCore (c x)
  :name "(- (/ (+ c (sqrt (+ (* c c) 4))) 2) x)"
  :precision binary64
  (- (/ (+ c (sqrt (+ (* c c) 4.0))) 2.0) x))