Average Error: 0.0 → 0.0
Time: 1.3s
Precision: binary64
\[{x_1}^{2} + {x_2}^{2}\]
↓
\[{x_1}^{2} + {x_2}^{2}\]
{x_1}^{2} + {x_2}^{2}
↓
{x_1}^{2} + {x_2}^{2}
double code(double x_1, double x_2) {
	return ((double) (((double) pow(x_1, 2.0)) + ((double) pow(x_2, 2.0))));
}
↓
double code(double x_1, double x_2) {
	return ((double) (((double) pow(x_1, 2.0)) + ((double) pow(x_2, 2.0))));
}

Error

Bits error versus x_1

Bits error versus x_2

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[{x_1}^{2} + {x_2}^{2}\]

  2. Final simplification0.0

    \[\leadsto {x_1}^{2} + {x_2}^{2}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x_1 x_2)
  :name "(+ (pow x_1 2) (pow x_2 2))"
  :precision binary64
  (+ (pow x_1 2.0) (pow x_2 2.0)))