Average Error: 13.6 → 13.6
Time: 2.1s
Precision: binary64
\[\frac{1}{\sqrt{a + {b}^{\left(\frac{3}{2}\right)}}}\]
↓
\[\frac{1}{\sqrt{a + {b}^{\left(\frac{3}{2}\right)}}}\]
\frac{1}{\sqrt{a + {b}^{\left(\frac{3}{2}\right)}}}
↓
\frac{1}{\sqrt{a + {b}^{\left(\frac{3}{2}\right)}}}
double code(double a, double b) {
	return ((double) (1.0 / ((double) sqrt(((double) (a + ((double) pow(b, ((double) (3.0 / 2.0))))))))));
}
↓
double code(double a, double b) {
	return ((double) (1.0 / ((double) sqrt(((double) (a + ((double) pow(b, ((double) (3.0 / 2.0))))))))));
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 13.6

    \[\frac{1}{\sqrt{a + {b}^{\left(\frac{3}{2}\right)}}}\]

  2. Final simplification13.6

    \[\leadsto \frac{1}{\sqrt{a + {b}^{\left(\frac{3}{2}\right)}}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a b)
  :name "(/ 1 (sqrt (+ a (pow b (/ 3 2)))))"
  :precision binary64
  (/ 1.0 (sqrt (+ a (pow b (/ 3.0 2.0))))))