Average Error: 31.6 → 0.0
Time: 11.7s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x) {
	return ((double) (((double) (x - ((double) sin(x)))) / ((double) (x - ((double) tan(x))))));
}

↓
double code(double x) {
	double VAR;
	if ((x <= -0.028107423104785232)) {
		VAR = ((double) cbrt(((double) pow(((double) (((double) (x - ((double) sin(x)))) / ((double) (x - ((double) tan(x)))))), 3.0))));
	} else {
		double VAR_1;
		if ((x <= 0.03592679795301445)) {
			VAR_1 = ((double) (((double) (x * ((double) (x * 0.225)))) - ((double) (((double) (0.009642857142857142 * ((double) pow(x, 4.0)))) + 0.5))));
		} else {
			VAR_1 = ((double) (((double) (x / ((double) (x - ((double) tan(x)))))) - ((double) (((double) sin(x)) / ((double) (x - ((double) tan(x))))))));
		}
		VAR = VAR_1;
	}
	return VAR;
}

Error
Bits error versus x
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Derivation
  1. Split input into 3 regimes
  2. if  x  < -0.028107423104785232
    1. Initial program 0.1
      \[\]
    2. Using strategy rm
    3. Applied add-cbrt-cube41.4
      \[\leadsto \]
    4. Applied add-cbrt-cube42.6
      \[\leadsto \]
    5. Applied cbrt-undiv42.5
      \[\leadsto \]
    6. Simplified0.1
      \[\leadsto \]
    if -0.028107423104785232 <  x  < 0.0359267979530144485
    1. Initial program 63.2
      \[\]
    2. Taylor expanded around 0 0.0
      \[\leadsto \]
    3. Simplified0.0
      \[\leadsto \]
    if 0.0359267979530144485 <  x 
    1. Initial program 0.0
      \[\]
    2. Using strategy rm
    3. Applied div-sub0.0
      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification0.0
    \[\leadsto \]
Reproduce
herbie shell --seed 2020181 
(FPCore (x)
  :name "sintan (problem 3.4.5)"
  :precision binary64
  (/ (- x (sin x)) (- x (tan x))))