Average Error: 31.0 → 0.0
Time: 10.8s
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 <= -0.029261909414358904) || !(x <= 0.033556415281753814))) {
		VAR = ((double) (((double) (x - ((double) sin(x)))) / ((double) (x - ((double) tan(x))))));
	} else {
		VAR = ((double) (((double) (((double) (x * ((double) (x * 0.225)))) - ((double) (0.009642857142857142 * ((double) pow(x, 4.0)))))) - 0.5));
	}
	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 2 regimes
  2. if x < -0.029261909414358904 or 0.0335564152817538139 < x

    1. Initial program 0.1

      \[\]

    if -0.029261909414358904 < x < 0.0335564152817538139

    1. Initial program 63.0

      \[\]
    2. Taylor expanded around 0 0.0

      \[\leadsto \]
    3. Simplified0.0

      \[\leadsto \]
    4. Using strategy rm
    5. Applied associate--r+0.0

      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification0.0

    \[\leadsto \]

Reproduce

herbie shell --seed 2020179 
(FPCore (x)
  :name "sintan (problem 3.4.5)"
  :precision binary64
  (/ (- x (sin x)) (- x (tan x))))