Average Error: 0.5 → 0.5
Time: 963.0ms
Precision: binary64
\[\sqrt[3]{2^{x} + 2^{y}}\]
↓
\[\sqrt[3]{2^{x} + 2^{y}}\]
\sqrt[3]{2^{x} + 2^{y}}
↓
\sqrt[3]{2^{x} + 2^{y}}
double code(double x, double y) {
	return ((double) cbrt(((double) (((double) exp2(x)) + ((double) exp2(y))))));
}
↓
double code(double x, double y) {
	return ((double) cbrt(((double) (((double) exp2(x)) + ((double) exp2(y))))));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.5

    \[\sqrt[3]{2^{x} + 2^{y}}\]

  2. Final simplification0.5

    \[\leadsto \sqrt[3]{2^{x} + 2^{y}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(cbrt (+ (exp2 x) (exp2 y)))"
  :precision binary64
  (cbrt (+ (exp2 x) (exp2 y))))