Average Error: 31.5 → 31.5
Time: 1.2s
Precision: binary64
\[\sqrt{c \cdot c - b \cdot b}\]
↓
\[\sqrt{c \cdot c - b \cdot b}\]
\sqrt{c \cdot c - b \cdot b}
↓
\sqrt{c \cdot c - b \cdot b}
double code(double c, double b) {
	return ((double) sqrt(((double) (((double) (c * c)) - ((double) (b * b))))));
}
↓
double code(double c, double b) {
	return ((double) sqrt(((double) (((double) (c * c)) - ((double) (b * b))))));
}

Error

Bits error versus c

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 31.5

    \[\sqrt{c \cdot c - b \cdot b}\]

  2. Final simplification31.5

    \[\leadsto \sqrt{c \cdot c - b \cdot b}\]

Reproduce

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