Average Error: 29.8 → 0.7
Time: 3.8s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x) {
	return ((double) (((double) cbrt(((double) (x + 1.0)))) - ((double) cbrt(x))));
}

↓
double code(double x) {
	return ((double) (1.0 / ((double) (((double) (((double) pow(((double) cbrt(((double) cbrt(x)))), 5.0)) * ((double) (((double) cbrt(((double) cbrt(((double) cbrt(x)))))) * ((double) cbrt(((double) pow(((double) (((double) cbrt(((double) cbrt(((double) cbrt(x)))))) * ((double) (((double) cbrt(((double) cbrt(((double) cbrt(x)))))) * ((double) cbrt(((double) cbrt(((double) cbrt(x)))))))))), 2.0)))))))) + ((double) (((double) cbrt(((double) (1.0 + x)))) * ((double) (((double) cbrt(x)) + ((double) cbrt(((double) (1.0 + x))))))))))));
}

Error
Bits error versus x
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Derivation
  1. Initial program 29.8
    \[\]
  2. Using strategy rm
  3. Applied flip3--29.8
    \[\leadsto \]
  4. Simplified0.5
    \[\leadsto \]
  5. Simplified0.5
    \[\leadsto \]
  6. Using strategy rm
  7. Applied add-cube-cbrt0.5
    \[\leadsto \]
  8. Applied cbrt-prod0.6
    \[\leadsto \]
  9. Applied associate-*r*0.6
    \[\leadsto \]
  10. Simplified0.7
    \[\leadsto \]
  11. Using strategy rm
  12. Applied add-cube-cbrt0.7
    \[\leadsto \]
  13. Applied cbrt-prod0.7
    \[\leadsto \]
  14. Simplified0.7
    \[\leadsto \]
  15. Using strategy rm
  16. Applied add-cube-cbrt0.7
    \[\leadsto \]
  17. Final simplification0.7
    \[\leadsto \]
Reproduce
herbie shell --seed 2020179 
(FPCore (x)
  :name "2cbrt (problem 3.3.4)"
  :precision binary64
  (- (cbrt (+ x 1.0)) (cbrt x)))