Average Error: 33.2 → 33.2
Time: 2.0s
Precision: binary64
\[{\left(\left(\left(a \cdot b\right) \cdot c\right) \cdot d\right)}^{\left(\frac{1}{4}\right)}\]
↓
\[{\left(\left(\left(a \cdot b\right) \cdot c\right) \cdot d\right)}^{\left(\frac{1}{4}\right)}\]
{\left(\left(\left(a \cdot b\right) \cdot c\right) \cdot d\right)}^{\left(\frac{1}{4}\right)}
↓
{\left(\left(\left(a \cdot b\right) \cdot c\right) \cdot d\right)}^{\left(\frac{1}{4}\right)}
double code(double a, double b, double c, double d) {
	return ((double) pow(((double) (((double) (((double) (a * b)) * c)) * d)), ((double) (1.0 / 4.0))));
}
↓
double code(double a, double b, double c, double d) {
	return ((double) pow(((double) (((double) (((double) (a * b)) * c)) * d)), ((double) (1.0 / 4.0))));
}

Error

Bits error versus a

Bits error versus b

Bits error versus c

Bits error versus d

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 33.2

    \[{\left(\left(\left(a \cdot b\right) \cdot c\right) \cdot d\right)}^{\left(\frac{1}{4}\right)}\]

  2. Final simplification33.2

    \[\leadsto {\left(\left(\left(a \cdot b\right) \cdot c\right) \cdot d\right)}^{\left(\frac{1}{4}\right)}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a b c d)
  :name "(pow (* (* (* a b) c) d) (/ 1 4))"
  :precision binary64
  (pow (* (* (* a b) c) d) (/ 1.0 4.0)))