Average Error: 31.3 → 0.0
Time: 10.3s
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 <= -0.028305308455860895) || !(x <= 0.030174469617931295))) {
		VAR = ((double) log(((double) exp(((double) (((double) (x / ((double) (x - ((double) tan(x)))))) - ((double) (((double) sin(x)) / ((double) (x - ((double) tan(x))))))))))));
	} else {
		VAR = ((double) (((double) (x * ((double) (x * 0.225)))) + ((double) (-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  < -0.0283053084558608954 or 0.0301744696179312953 <  x 
    1. Initial program 0.0
      \[\]
    2. Using strategy rm
    3. Applied div-sub0.1
      \[\leadsto \]
    4. Using strategy rm
    5. Applied add-log-exp0.1
      \[\leadsto \]
    6. Applied add-log-exp0.1
      \[\leadsto \]
    7. Applied diff-log0.1
      \[\leadsto \]
    8. Simplified0.1
      \[\leadsto \]
    if -0.0283053084558608954 <  x  < 0.0301744696179312953
    1. Initial program 63.1
      \[\]
    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 2020190 
(FPCore (x)
  :name "sintan (problem 3.4.5)"
  :precision binary64
  (/ (- x (sin x)) (- x (tan x))))