Average Error: 16.2 → 16.2
Time: 1.0s
Precision: binary64
\[\frac{a \cdot y - b \cdot x}{y - x}\]
↓
\[\frac{a \cdot y - b \cdot x}{y - x}\]
\frac{a \cdot y - b \cdot x}{y - x}
↓
\frac{a \cdot y - b \cdot x}{y - x}
double code(double a, double y, double b, double x) {
	return ((double) (((double) (((double) (a * y)) - ((double) (b * x)))) / ((double) (y - x))));
}
↓
double code(double a, double y, double b, double x) {
	return ((double) (((double) (((double) (a * y)) - ((double) (b * x)))) / ((double) (y - x))));
}

Error

Bits error versus a

Bits error versus y

Bits error versus b

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 16.2

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

  2. Final simplification16.2

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

Reproduce

herbie shell --seed 2020152 
(FPCore (a y b x)
  :name "(/ (- (* a y) (* b x)) (- y x))"
  :precision binary64
  (/ (- (* a y) (* b x)) (- y x)))