Average Error: 0.0 → 0.0
Time: 1.5s
Precision: binary64
\[\left(a \cdot a + b \cdot b\right) + c \cdot c\]
↓
\[\left(a \cdot a + b \cdot b\right) + c \cdot c\]
\left(a \cdot a + b \cdot b\right) + c \cdot c
↓
\left(a \cdot a + b \cdot b\right) + c \cdot c
double code(double a, double b, double c) {
	return ((double) (((double) (((double) (a * a)) + ((double) (b * b)))) + ((double) (c * c))));
}
↓
double code(double a, double b, double c) {
	return ((double) (((double) (((double) (a * a)) + ((double) (b * b)))) + ((double) (c * c))));
}

Error

Bits error versus a

Bits error versus b

Bits error versus c

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(a \cdot a + b \cdot b\right) + c \cdot c\]

  2. Final simplification0.0

    \[\leadsto \left(a \cdot a + b \cdot b\right) + c \cdot c\]

Reproduce

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