Average Error: 35.6 → 27.1
Time: 6.7s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y) {
	return ((double) (((double) tan(((double) (x / ((double) (y * 2.0)))))) / ((double) sin(((double) (x / ((double) (y * 2.0))))))));
}

↓
double code(double x, double y) {
	double VAR;
	if ((((double) (((double) tan(((double) (x / ((double) (y * 2.0)))))) / ((double) sin(((double) (x / ((double) (y * 2.0)))))))) <= 2.61181062426217)) {
		VAR = ((double) (((double) cbrt(((double) (((double) tan(((double) (x / ((double) (y * 2.0)))))) / ((double) sin(((double) (x / ((double) (y * 2.0)))))))))) * ((double) (((double) cbrt(((double) (((double) tan(((double) (x / ((double) (y * 2.0)))))) / ((double) sin(((double) (x / ((double) (y * 2.0)))))))))) * ((double) cbrt(((double) (((double) tan(((double) (x / ((double) (y * 2.0)))))) / ((double) sin(((double) (x / ((double) (y * 2.0))))))))))))));
	} else {
		VAR = 1.0;
	}
	return VAR;
}

Error
Bits error versus x
Bits error versus y
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original35.6
Target28.4
Herbie27.1
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))  < 2.6118106242621701
    1. Initial program 24.8
      \[\]
    2. Using strategy rm
    3. Applied add-cube-cbrt24.8
      \[\leadsto \]
    if 2.6118106242621701 <  (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 
    1. Initial program 62.7
      \[\]
    2. Taylor expanded around 0 32.9
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification27.1
    \[\leadsto \]
Reproduce
herbie shell --seed 2020190 
(FPCore (x y)
  :name "Diagrams.TwoD.Layout.CirclePacking:approxRadius from diagrams-contrib-1.3.0.5"
  :precision binary64

  :herbie-target
  (if (< y -1.2303690911306994e+114) 1.0 (if (< y -9.102852406811914e-222) (/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0))))))) 1.0))

  (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))