Average Error: 8.0 → 8.0
Time: 1.4s
Precision: binary64
\[\sqrt{\left(a + b\right) + c \cdot d}\]
↓
\[\sqrt{\left(a + b\right) + c \cdot d}\]
\sqrt{\left(a + b\right) + c \cdot d}
↓
\sqrt{\left(a + b\right) + c \cdot d}
double code(double a, double b, double c, double d) {
	return ((double) sqrt(((double) (((double) (a + b)) + ((double) (c * d))))));
}
↓
double code(double a, double b, double c, double d) {
	return ((double) sqrt(((double) (((double) (a + b)) + ((double) (c * d))))));
}

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 8.0

    \[\sqrt{\left(a + b\right) + c \cdot d}\]

  2. Final simplification8.0

    \[\leadsto \sqrt{\left(a + b\right) + c \cdot d}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b c d)
  :name "(sqrt (+ (+ a b) (* c d)))"
  :precision binary64
  (sqrt (+ (+ a b) (* c d))))