Average Error: 31.6 → 0.0
Time: 12.1s
Precision: binary64
\[\]
\[\]
double code(double x) {
	return (x - sin(x)) / (x - tan(x));
}
double code(double x) {
	double tmp;
	if ((x <= -0.026395687002885145) || !(x <= 0.027677485715175896)) {
		tmp = 1.0 / ((x - tan(x)) / (x - sin(x)));
	} else {
		tmp = ((x * x) * 0.225) - (0.5 + (0.009642857142857142 * pow(x, 4.0)));
	}
	return tmp;
}

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 < -0.026395687002885145 or 0.0276774857151758959 < x

    1. Initial program 0.0

      \[\]
    2. Using strategy rm
    3. Applied clear-num0.1

      \[\leadsto \]

    if -0.026395687002885145 < x < 0.0276774857151758959

    1. Initial program 63.2

      \[\]
    2. Taylor expanded around 0 0.0

      \[\leadsto \]
    3. Simplified0.0

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

    \[\leadsto \]

Reproduce

herbie shell --seed 2020338 
(FPCore (x)
  :name "sintan (problem 3.4.5)"
  :precision binary64
  (/ (- x (sin x)) (- x (tan x))))