Average Error: 30.8 → 30.8
Time: 1.3s
Precision: binary64
\[5 - \sqrt{25 + {x}^{2}}\]
↓
\[5 - \sqrt{25 + {x}^{2}}\]
5 - \sqrt{25 + {x}^{2}}
↓
5 - \sqrt{25 + {x}^{2}}
double code(double x) {
	return ((double) (5.0 - ((double) sqrt(((double) (25.0 + ((double) pow(x, 2.0))))))));
}
↓
double code(double x) {
	return ((double) (5.0 - ((double) sqrt(((double) (25.0 + ((double) pow(x, 2.0))))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.8

    \[5 - \sqrt{25 + {x}^{2}}\]

  2. Final simplification30.8

    \[\leadsto 5 - \sqrt{25 + {x}^{2}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- 5 (sqrt (+ 25 (pow x 2))))"
  :precision binary64
  (- 5.0 (sqrt (+ 25.0 (pow x 2.0)))))