Average Error: 7.2 → 7.2
Time: 1.3s
Precision: binary64
\[a + \log \left(\frac{x}{1 + a}\right)\]
↓
\[a + \log \left(\frac{x}{1 + a}\right)\]
a + \log \left(\frac{x}{1 + a}\right)
↓
a + \log \left(\frac{x}{1 + a}\right)
double code(double a, double x) {
	return ((double) (a + ((double) log(((double) (x / ((double) (1.0 + a))))))));
}
↓
double code(double a, double x) {
	return ((double) (a + ((double) log(((double) (x / ((double) (1.0 + a))))))));
}

Error

Bits error versus a

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 7.2

    \[a + \log \left(\frac{x}{1 + a}\right)\]

  2. Final simplification7.2

    \[\leadsto a + \log \left(\frac{x}{1 + a}\right)\]

Reproduce

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