Average Error: 30.0 → 0.6
Time: 3.5s
Precision: binary64
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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) cbrt(((double) (((double) cbrt(x)) * ((double) cbrt(x)))))) * ((double) pow(((double) cbrt(((double) cbrt(x)))), 4.0)))) + ((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 30.0

    \[\]
  2. Using strategy rm
  3. Applied flip3--30.0

    \[\leadsto \]
  4. Simplified0.5

    \[\leadsto \]
  5. Simplified0.5

    \[\leadsto \]
  6. Using strategy rm
  7. Applied add-cube-cbrt0.6

    \[\leadsto \]
  8. Applied cbrt-prod0.6

    \[\leadsto \]
  9. Applied associate-*l*0.6

    \[\leadsto \]
  10. Simplified0.6

    \[\leadsto \]
  11. Final simplification0.6

    \[\leadsto \]

Reproduce

herbie shell --seed 2020192 
(FPCore (x)
  :name "2cbrt (problem 3.3.4)"
  :precision binary64
  (- (cbrt (+ x 1.0)) (cbrt x)))