Average Error: 31.5 → 0.0
Time: 18.8s
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 <= -0.025373353279311107) || !(x <= 0.027286187343321333))) {
		VAR = ((double) (((double) (x / ((double) (x - ((double) tan(x)))))) - ((double) (((double) sin(x)) / ((double) (x - ((double) tan(x))))))));
	} else {
		VAR = ((double) (((double) (((double) (x * ((double) (x * 0.225)))) + -0.5)) + ((double) (((double) pow(x, 4.0)) * -0.009642857142857142))));
	}
	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 < -0.0253733532793111068 or 0.02728618734332133 < x

    1. Initial program 0.0

      \[\]
    2. Using strategy rm
    3. Applied div-sub0.1

      \[\leadsto \]

    if -0.0253733532793111068 < x < 0.02728618734332133

    1. Initial program 63.2

      \[\]
    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 2020191 
(FPCore (x)
  :name "sintan (problem 3.4.5)"
  :precision binary64
  (/ (- x (sin x)) (- x (tan x))))