Average Error: 8.2 → 8.2
Time: 608.0ms
Precision: binary64
\[\frac{a \cdot b}{1 + a}\]
↓
\[\frac{a \cdot b}{1 + a}\]
\frac{a \cdot b}{1 + a}
↓
\frac{a \cdot b}{1 + a}
double code(double a, double b) {
	return ((double) (((double) (a * b)) / ((double) (1.0 + a))));
}
↓
double code(double a, double b) {
	return ((double) (((double) (a * b)) / ((double) (1.0 + 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 8.2

    \[\frac{a \cdot b}{1 + a}\]

  2. Final simplification8.2

    \[\leadsto \frac{a \cdot b}{1 + a}\]

Reproduce

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