Average Error: 0 → 0
Time: 2.9s
Precision: 64
\[\frac{\sin x}{x + y} - \frac{\cos x}{y - x}\]
\[\frac{\sin x}{x + y} - \frac{\cos x}{y - x}\]
\frac{\sin x}{x + y} - \frac{\cos x}{y - x}
\frac{\sin x}{x + y} - \frac{\cos x}{y - x}
double f(double x, double y) {
        double r1307842 = x;
        double r1307843 = sin(r1307842);
        double r1307844 = y;
        double r1307845 = r1307842 + r1307844;
        double r1307846 = r1307843 / r1307845;
        double r1307847 = cos(r1307842);
        double r1307848 = r1307844 - r1307842;
        double r1307849 = r1307847 / r1307848;
        double r1307850 = r1307846 - r1307849;
        return r1307850;
}

double f(double x, double y) {
        double r1307851 = x;
        double r1307852 = sin(r1307851);
        double r1307853 = y;
        double r1307854 = r1307851 + r1307853;
        double r1307855 = r1307852 / r1307854;
        double r1307856 = cos(r1307851);
        double r1307857 = r1307853 - r1307851;
        double r1307858 = r1307856 / r1307857;
        double r1307859 = r1307855 - r1307858;
        return r1307859;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[\frac{\sin x}{x + y} - \frac{\cos x}{y - x}\]
  2. Final simplification0

    \[\leadsto \frac{\sin x}{x + y} - \frac{\cos x}{y - x}\]

Reproduce

herbie shell --seed 1 
(FPCore (x y)
  :name "sin(x)/(x+y)-cos(x)/(y-x)"
  :precision binary32
  (- (/ (sin x) (+ x y)) (/ (cos x) (- y x))))