Average Error: 35.8 → 28.5
Time: 6.8s
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) {
	return 1.0;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original35.8
Target29.0
Herbie28.5
\[\]

Derivation

  1. Initial program 35.8

    \[\]
  2. Taylor expanded around 0 28.5

    \[\leadsto \]
  3. Final simplification28.5

    \[\leadsto \]

Reproduce

herbie shell --seed 2020192 
(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)))))