Average Error: 19.5 → 19.5
Time: 3.1s
Precision: binary64
\[\frac{\left(\left(a \cdot e - b\right) - b\right) \cdot \left(\left(a \cdot e - b\right) - b\right) - \left(\left(a - b\right) - b\right) \cdot \left(\left(a - b\right) - b\right)}{mrs + mrs} + \left(b \cdot b\right) \cdot dcf\]
↓
\[\frac{\left(\left(a \cdot e - b\right) - b\right) \cdot \left(\left(a \cdot e - b\right) - b\right) - \left(\left(a - b\right) - b\right) \cdot \left(\left(a - b\right) - b\right)}{mrs + mrs} + \left(b \cdot b\right) \cdot dcf\]
\frac{\left(\left(a \cdot e - b\right) - b\right) \cdot \left(\left(a \cdot e - b\right) - b\right) - \left(\left(a - b\right) - b\right) \cdot \left(\left(a - b\right) - b\right)}{mrs + mrs} + \left(b \cdot b\right) \cdot dcf
↓
\frac{\left(\left(a \cdot e - b\right) - b\right) \cdot \left(\left(a \cdot e - b\right) - b\right) - \left(\left(a - b\right) - b\right) \cdot \left(\left(a - b\right) - b\right)}{mrs + mrs} + \left(b \cdot b\right) \cdot dcf
double code(double a, double e, double b, double mrs, double dcf) {
	return ((double) (((double) (((double) (((double) (((double) (((double) (((double) (a * e)) - b)) - b)) * ((double) (((double) (((double) (a * e)) - b)) - b)))) - ((double) (((double) (((double) (a - b)) - b)) * ((double) (((double) (a - b)) - b)))))) / ((double) (mrs + mrs)))) + ((double) (((double) (b * b)) * dcf))));
}
↓
double code(double a, double e, double b, double mrs, double dcf) {
	return ((double) (((double) (((double) (((double) (((double) (((double) (((double) (a * e)) - b)) - b)) * ((double) (((double) (((double) (a * e)) - b)) - b)))) - ((double) (((double) (((double) (a - b)) - b)) * ((double) (((double) (a - b)) - b)))))) / ((double) (mrs + mrs)))) + ((double) (((double) (b * b)) * dcf))));
}

Error

Bits error versus a

Bits error versus e

Bits error versus b

Bits error versus mrs

Bits error versus dcf

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 19.5

    \[\frac{\left(\left(a \cdot e - b\right) - b\right) \cdot \left(\left(a \cdot e - b\right) - b\right) - \left(\left(a - b\right) - b\right) \cdot \left(\left(a - b\right) - b\right)}{mrs + mrs} + \left(b \cdot b\right) \cdot dcf\]

  2. Final simplification19.5

    \[\leadsto \frac{\left(\left(a \cdot e - b\right) - b\right) \cdot \left(\left(a \cdot e - b\right) - b\right) - \left(\left(a - b\right) - b\right) \cdot \left(\left(a - b\right) - b\right)}{mrs + mrs} + \left(b \cdot b\right) \cdot dcf\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a e b mrs dcf)
  :name "(+ (/ (- (* (- (- (* a e) b) b) (- (- (* a e) b) b)) (* (- (- a b) b) (- (- a b) b))) (+ mrs mrs)) (* (* b b) dcf))"
  :precision binary64
  (+ (/ (- (* (- (- (* a e) b) b) (- (- (* a e) b) b)) (* (- (- a b) b) (- (- a b) b))) (+ mrs mrs)) (* (* b b) dcf)))