Average Error: 29.3 → 29.3
Time: 2.2s
Precision: binary64
\[\frac{\frac{1}{\log x} - \frac{1}{\log \left(x + 300\right)}}{700}\]
↓
\[\frac{\frac{1}{\log x} - \frac{1}{\log \left(x + 300\right)}}{700}\]
\frac{\frac{1}{\log x} - \frac{1}{\log \left(x + 300\right)}}{700}
↓
\frac{\frac{1}{\log x} - \frac{1}{\log \left(x + 300\right)}}{700}
double code(double x) {
	return ((double) (((double) (((double) (1.0 / ((double) log(x)))) - ((double) (1.0 / ((double) log(((double) (x + 300.0)))))))) / 700.0));
}
↓
double code(double x) {
	return ((double) (((double) (((double) (1.0 / ((double) log(x)))) - ((double) (1.0 / ((double) log(((double) (x + 300.0)))))))) / 700.0));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 29.3

    \[\frac{\frac{1}{\log x} - \frac{1}{\log \left(x + 300\right)}}{700}\]

  2. Final simplification29.3

    \[\leadsto \frac{\frac{1}{\log x} - \frac{1}{\log \left(x + 300\right)}}{700}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(/ (- (/ 1 (log x)) (/ 1 (log (+ x 300)))) 700)"
  :precision binary64
  (/ (- (/ 1.0 (log x)) (/ 1.0 (log (+ x 300.0)))) 700.0))