Average Error: 12.2 → 12.2
Time: 1.2s
Precision: binary64
\[\frac{c - \sqrt{c \cdot d}}{c - d}\]
↓
\[\frac{c - \sqrt{c \cdot d}}{c - d}\]
\frac{c - \sqrt{c \cdot d}}{c - d}
↓
\frac{c - \sqrt{c \cdot d}}{c - d}
double code(double c, double d) {
	return ((double) (((double) (c - ((double) sqrt(((double) (c * d)))))) / ((double) (c - d))));
}
↓
double code(double c, double d) {
	return ((double) (((double) (c - ((double) sqrt(((double) (c * d)))))) / ((double) (c - d))));
}

Error

Bits error versus c

Bits error versus d

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 12.2

    \[\frac{c - \sqrt{c \cdot d}}{c - d}\]

  2. Final simplification12.2

    \[\leadsto \frac{c - \sqrt{c \cdot d}}{c - d}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (c d)
  :name "(/ (- c (sqrt (* c d))) (- c d))"
  :precision binary64
  (/ (- c (sqrt (* c d))) (- c d)))