Average Error: 0.2 → 0.5
Time: 3.3s
Precision: binary64
\[\]
↓
\[\]
↓
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) (3.0 + a)))))))))) - 1.0));
}

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

Error
Bits error versus a
Bits error versus b
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Derivation
  1. Initial program 0.2
    \[\]
  2. Using strategy rm
  3. Applied add-cube-cbrt0.5
    \[\leadsto \]
  4. Simplified0.5
    \[\leadsto \]
  5. Simplified0.5
    \[\leadsto \]
  6. Final simplification0.5
    \[\leadsto \]
Reproduce
herbie shell --seed 2020192 
(FPCore (a b)
  :name "Bouland and Aaronson, Equation (24)"
  :precision binary64
  (- (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))) 1.0))