Average Error: 59.4 → 59.4
Time: 5.2s
Precision: binary64
\[\frac{\sqrt{x - \log x} - \sqrt{x + \log x}}{\sin x}\]
↓
\[\frac{\sqrt{x - \log x} - \sqrt{x + \log x}}{\sin x}\]
\frac{\sqrt{x - \log x} - \sqrt{x + \log x}}{\sin x}
↓
\frac{\sqrt{x - \log x} - \sqrt{x + \log x}}{\sin x}
double code(double x) {
	return ((double) (((double) (((double) sqrt(((double) (x - ((double) log(x)))))) - ((double) sqrt(((double) (x + ((double) log(x)))))))) / ((double) sin(x))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) sqrt(((double) (x - ((double) log(x)))))) - ((double) sqrt(((double) (x + ((double) log(x)))))))) / ((double) sin(x))));
}

Error

Bits error versus x

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Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 59.4

    \[\frac{\sqrt{x - \log x} - \sqrt{x + \log x}}{\sin x}\]

  2. Final simplification59.4

    \[\leadsto \frac{\sqrt{x - \log x} - \sqrt{x + \log x}}{\sin x}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(/ (- (sqrt (- x (log x))) (sqrt (+ x (log x)))) (sin x))"
  :precision binary64
  (/ (- (sqrt (- x (log x))) (sqrt (+ x (log x)))) (sin x)))