Average Error: 38.0 → 38.0
Time: 1.2s
Precision: binary64
\[\sqrt{\left(a + c\right) \cdot \left(a + c\right) - \left(a \cdot c + b \cdot b\right)}\]
↓
\[\sqrt{\left(a + c\right) \cdot \left(a + c\right) - \left(a \cdot c + b \cdot b\right)}\]
\sqrt{\left(a + c\right) \cdot \left(a + c\right) - \left(a \cdot c + b \cdot b\right)}
↓
\sqrt{\left(a + c\right) \cdot \left(a + c\right) - \left(a \cdot c + b \cdot b\right)}
double code(double a, double c, double b) {
	return ((double) sqrt(((double) (((double) (((double) (a + c)) * ((double) (a + c)))) - ((double) (((double) (a * c)) + ((double) (b * b))))))));
}
↓
double code(double a, double c, double b) {
	return ((double) sqrt(((double) (((double) (((double) (a + c)) * ((double) (a + c)))) - ((double) (((double) (a * c)) + ((double) (b * b))))))));
}

Error

Bits error versus a

Bits error versus c

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 38.0

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

  2. Final simplification38.0

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

Reproduce

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