Average Error: 18.9 → 18.9
Time: 1.8s
Precision: binary64
\[\frac{x \cdot a - b \cdot y}{{z}^{2}}\]
↓
\[\frac{x \cdot a - b \cdot y}{{z}^{2}}\]
\frac{x \cdot a - b \cdot y}{{z}^{2}}
↓
\frac{x \cdot a - b \cdot y}{{z}^{2}}
double code(double x, double a, double b, double y, double z) {
	return ((double) (((double) (((double) (x * a)) - ((double) (b * y)))) / ((double) pow(z, 2.0))));
}
↓
double code(double x, double a, double b, double y, double z) {
	return ((double) (((double) (((double) (x * a)) - ((double) (b * y)))) / ((double) pow(z, 2.0))));
}

Error

Bits error versus x

Bits error versus a

Bits error versus b

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 18.9

    \[\frac{x \cdot a - b \cdot y}{{z}^{2}}\]

  2. Final simplification18.9

    \[\leadsto \frac{x \cdot a - b \cdot y}{{z}^{2}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x a b y z)
  :name "(/ (- (* x a) (* b y)) (pow z 2))"
  :precision binary64
  (/ (- (* x a) (* b y)) (pow z 2.0)))