Average Error: 29.5 → 0.5
Time: 4.0s
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(x)) * ((double) cbrt(x)))) + ((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 29.5

    \[\]
  2. Using strategy rm
  3. Applied flip3--29.4

    \[\leadsto \]
  4. Simplified0.5

    \[\leadsto \]
  5. Simplified0.5

    \[\leadsto \]
  6. Final simplification0.5

    \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(FPCore (x)
  :name "2cbrt (problem 3.3.4)"
  :precision binary64
  (- (cbrt (+ x 1.0)) (cbrt x)))