Average Error: 2.6 → 2.6
Time: 1.4s
Precision: binary64
\[\frac{211 \cdot {u}^{\left(\frac{5}{12}\right)} - 11}{200}\]
↓
\[\frac{211 \cdot {u}^{\left(\frac{5}{12}\right)} - 11}{200}\]
\frac{211 \cdot {u}^{\left(\frac{5}{12}\right)} - 11}{200}
↓
\frac{211 \cdot {u}^{\left(\frac{5}{12}\right)} - 11}{200}
double code(double u) {
	return ((double) (((double) (((double) (211.0 * ((double) pow(u, ((double) (5.0 / 12.0)))))) - 11.0)) / 200.0));
}
↓
double code(double u) {
	return ((double) (((double) (((double) (211.0 * ((double) pow(u, ((double) (5.0 / 12.0)))))) - 11.0)) / 200.0));
}

Error

Bits error versus u

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 2.6

    \[\frac{211 \cdot {u}^{\left(\frac{5}{12}\right)} - 11}{200}\]

  2. Final simplification2.6

    \[\leadsto \frac{211 \cdot {u}^{\left(\frac{5}{12}\right)} - 11}{200}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (u)
  :name "(/ (- (* 211 (pow u (/ 5 12))) 11) 200)"
  :precision binary64
  (/ (- (* 211.0 (pow u (/ 5.0 12.0))) 11.0) 200.0))