Average Error: 0.5 → 0.5
Time: 11.8s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y) {
	return ((double) (((double) (2.0 + ((double) (((double) (((double) (((double) sqrt(2.0)) * ((double) (((double) sin(x)) - ((double) (((double) sin(y)) / 16.0)))))) * ((double) (((double) sin(y)) - ((double) (((double) sin(x)) / 16.0)))))) * ((double) (((double) cos(x)) - ((double) cos(y)))))))) / ((double) (3.0 * ((double) (((double) (1.0 + ((double) (((double) (((double) (((double) sqrt(5.0)) - 1.0)) / 2.0)) * ((double) cos(x)))))) + ((double) (((double) (((double) (3.0 - ((double) sqrt(5.0)))) / 2.0)) * ((double) cos(y))))))))));
}

↓
double code(double x, double y) {
	return ((double) (((double) (2.0 + ((double) (((double) (((double) (((double) cbrt(((double) (((double) sin(x)) - ((double) (((double) sin(y)) / 16.0)))))) * ((double) (((double) sqrt(2.0)) * ((double) (((double) cbrt(((double) (((double) sin(x)) - ((double) (((double) sin(y)) / 16.0)))))) * ((double) cbrt(((double) (((double) sin(x)) - ((double) (((double) sin(y)) / 16.0)))))))))))) * ((double) (((double) sin(y)) - ((double) (((double) sin(x)) / 16.0)))))) * ((double) cbrt(((double) pow(((double) (((double) cos(x)) - ((double) cos(y)))), 3.0)))))))) / ((double) (3.0 * ((double) (((double) (1.0 + ((double) cbrt(((double) pow(((double) (((double) cos(x)) * ((double) (((double) (((double) sqrt(5.0)) - 1.0)) / 2.0)))), 3.0)))))) + ((double) (((double) cos(y)) * ((double) (((double) (((double) (((double) (3.0 * 3.0)) - 5.0)) / ((double) (3.0 + ((double) sqrt(5.0)))))) / 2.0))))))))));
}

Error
Bits error versus x
Bits error versus y
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Derivation
  1. Initial program 0.5
    \[\]
  2. Using strategy rm
  3. Applied flip--0.5
    \[\leadsto \]
  4. Simplified0.4
    \[\leadsto \]
  5. Using strategy rm
  6. Applied add-cbrt-cube0.5
    \[\leadsto \]
  7. Applied add-cbrt-cube0.5
    \[\leadsto \]
  8. Applied add-cbrt-cube0.5
    \[\leadsto \]
  9. Applied cbrt-undiv0.5
    \[\leadsto \]
  10. Applied cbrt-unprod0.5
    \[\leadsto \]
  11. Simplified0.5
    \[\leadsto \]
  12. Using strategy rm
  13. Applied add-cube-cbrt0.5
    \[\leadsto \]
  14. Applied associate-*r*0.5
    \[\leadsto \]
  15. Using strategy rm
  16. Applied add-cbrt-cube0.5
    \[\leadsto \]
  17. Simplified0.5
    \[\leadsto \]
  18. Final simplification0.5
    \[\leadsto \]
Reproduce
herbie shell --seed 2020192 
(FPCore (x y)
  :name "Diagrams.TwoD.Path.Metafont.Internal:hobbyF from diagrams-contrib-1.3.0.5"
  :precision binary64
  (/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y))))))