double code(double a, double b) {
return ((double) (((double) (((double) pow(((double) (((double) (a * a)) + ((double) (b * b)))), 2.0)) + ((double) (4.0 * ((double) (((double) (((double) (a * a)) * ((double) (1.0 + a)))) + ((double) (((double) (b * b)) * ((double) (1.0 - ((double) (3.0 * a)))))))))))) - 1.0));
}
double code(double a, double b) {
return ((double) (((double) (((double) pow(((double) (((double) (a * a)) + ((double) (b * b)))), 2.0)) + ((double) (4.0 * ((double) (((double) (((double) (a * a)) * ((double) (a + 1.0)))) + ((double) (((double) (b * b)) * ((double) (1.0 - ((double) (a * 3.0)))))))))))) - 1.0));
}



Bits error versus a



Bits error versus b
Results
Initial program 0.2
Final simplification0.2
herbie shell --seed 2020191
(FPCore (a b)
:name "Bouland and Aaronson, Equation (25)"
:precision binary64
(- (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))) 1.0))