Average Error: 29.2 → 29.2
Time: 6.5s
Precision: binary64
\[\frac{1}{700 \cdot \log x} - \frac{1}{700 \cdot \log \left(x + 500\right)}\]
↓
\[\frac{1}{700 \cdot \log x} - \frac{1}{700 \cdot \log \left(x + 500\right)}\]
\frac{1}{700 \cdot \log x} - \frac{1}{700 \cdot \log \left(x + 500\right)}
↓
\frac{1}{700 \cdot \log x} - \frac{1}{700 \cdot \log \left(x + 500\right)}
double code(double x) {
	return ((double) (((double) (1.0 / ((double) (700.0 * ((double) log(x)))))) - ((double) (1.0 / ((double) (700.0 * ((double) log(((double) (x + 500.0))))))))));
}
↓
double code(double x) {
	return ((double) (((double) (1.0 / ((double) (700.0 * ((double) log(x)))))) - ((double) (1.0 / ((double) (700.0 * ((double) log(((double) (x + 500.0))))))))));
}

Error

Bits error versus x

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Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 29.2

    \[\frac{1}{700 \cdot \log x} - \frac{1}{700 \cdot \log \left(x + 500\right)}\]

  2. Final simplification29.2

    \[\leadsto \frac{1}{700 \cdot \log x} - \frac{1}{700 \cdot \log \left(x + 500\right)}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (/ 1 (* 700 (log x))) (/ 1 (* 700 (log (+ x 500)))))"
  :precision binary64
  (- (/ 1.0 (* 700.0 (log x))) (/ 1.0 (* 700.0 (log (+ x 500.0))))))