Average Error: 16.1 → 16.1
Time: 1.4s
Precision: binary64
\[\left(1 + \frac{z \cdot z}{x \cdot x}\right) - b \cdot b\]
↓
\[\left(1 + \frac{z \cdot z}{x \cdot x}\right) - b \cdot b\]
\left(1 + \frac{z \cdot z}{x \cdot x}\right) - b \cdot b
↓
\left(1 + \frac{z \cdot z}{x \cdot x}\right) - b \cdot b
double code(double z, double x, double b) {
	return ((double) (((double) (1.0 + ((double) (((double) (z * z)) / ((double) (x * x)))))) - ((double) (b * b))));
}
↓
double code(double z, double x, double b) {
	return ((double) (((double) (1.0 + ((double) (((double) (z * z)) / ((double) (x * x)))))) - ((double) (b * b))));
}

Error

Bits error versus z

Bits error versus x

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 16.1

    \[\left(1 + \frac{z \cdot z}{x \cdot x}\right) - b \cdot b\]

  2. Final simplification16.1

    \[\leadsto \left(1 + \frac{z \cdot z}{x \cdot x}\right) - b \cdot b\]

Reproduce

herbie shell --seed 2020152 
(FPCore (z x b)
  :name "(- (+ 1 (/ (* z z) (* x x))) (* b b))"
  :precision binary64
  (- (+ 1.0 (/ (* z z) (* x x))) (* b b)))