Average Error: 15.3 → 15.3
Time: 611.0ms
Precision: binary64
\[\frac{a \cdot b}{b - a}\]
↓
\[\frac{a \cdot b}{b - a}\]
\frac{a \cdot b}{b - a}
↓
\frac{a \cdot b}{b - a}
double code(double a, double b) {
	return ((double) (((double) (a * b)) / ((double) (b - a))));
}
↓
double code(double a, double b) {
	return ((double) (((double) (a * b)) / ((double) (b - a))));
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 15.3

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

  2. Final simplification15.3

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

Reproduce

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