double code(double a, double rand) {
return ((double) (((double) (a - ((double) (1.0 / 3.0)))) * ((double) (1.0 + ((double) (((double) (1.0 / ((double) sqrt(((double) (9.0 * ((double) (a - ((double) (1.0 / 3.0)))))))))) * rand))))));
}
double code(double a, double rand) {
return ((double) (((double) (a - ((double) (1.0 / 3.0)))) * ((double) (1.0 + ((double) (((double) (1.0 / ((double) sqrt(((double) (((double) (a - ((double) (1.0 / 3.0)))) * 9.0)))))) * rand))))));
}



Bits error versus a



Bits error versus rand
Results
Initial program 0.2
Final simplification0.2
herbie shell --seed 2020181
(FPCore (a rand)
:name "Octave 3.8, oct_fill_randg"
:precision binary64
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))))