Average Error: 0.2 → 0.2
Time: 3.1s
Precision: binary64
\[\left(\frac{\log x}{\sqrt{x}} + \frac{\sin x}{\cos x}\right) + 12\]
↓
\[\left(\frac{\log x}{\sqrt{x}} + \frac{\sin x}{\cos x}\right) + 12\]
\left(\frac{\log x}{\sqrt{x}} + \frac{\sin x}{\cos x}\right) + 12
↓
\left(\frac{\log x}{\sqrt{x}} + \frac{\sin x}{\cos x}\right) + 12
double code(double x) {
	return ((double) (((double) (((double) (((double) log(x)) / ((double) sqrt(x)))) + ((double) (((double) sin(x)) / ((double) cos(x)))))) + 12.0));
}
↓
double code(double x) {
	return ((double) (((double) (((double) (((double) log(x)) / ((double) sqrt(x)))) + ((double) (((double) sin(x)) / ((double) cos(x)))))) + 12.0));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\left(\frac{\log x}{\sqrt{x}} + \frac{\sin x}{\cos x}\right) + 12\]

  2. Final simplification0.2

    \[\leadsto \left(\frac{\log x}{\sqrt{x}} + \frac{\sin x}{\cos x}\right) + 12\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ (+ (/ (log x) (sqrt x)) (/ (sin x) (cos x))) 12)"
  :precision binary64
  (+ (+ (/ (log x) (sqrt x)) (/ (sin x) (cos x))) 12.0))