Average Error: 18.1 → 18.1
Time: 1.7s
Precision: binary64
\[\left(a + b\right) + \frac{\left(\left(\left(d - c\right) \cdot \left(d - c\right)\right) \cdot e\right) \cdot f}{e + f}\]
↓
\[\left(a + b\right) + \frac{\left(\left(\left(d - c\right) \cdot \left(d - c\right)\right) \cdot e\right) \cdot f}{e + f}\]
\left(a + b\right) + \frac{\left(\left(\left(d - c\right) \cdot \left(d - c\right)\right) \cdot e\right) \cdot f}{e + f}
↓
\left(a + b\right) + \frac{\left(\left(\left(d - c\right) \cdot \left(d - c\right)\right) \cdot e\right) \cdot f}{e + f}
double code(double a, double b, double d, double c, double f) {
	return ((double) (((double) (a + b)) + ((double) (((double) (((double) (((double) (((double) (d - c)) * ((double) (d - c)))) * ((double) M_E))) * f)) / ((double) (((double) M_E) + f))))));
}
↓
double code(double a, double b, double d, double c, double f) {
	return ((double) (((double) (a + b)) + ((double) (((double) (((double) (((double) (((double) (d - c)) * ((double) (d - c)))) * ((double) M_E))) * f)) / ((double) (((double) M_E) + f))))));
}

Error

Bits error versus a

Bits error versus b

Bits error versus d

Bits error versus c

Bits error versus f

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 18.1

    \[\left(a + b\right) + \frac{\left(\left(\left(d - c\right) \cdot \left(d - c\right)\right) \cdot e\right) \cdot f}{e + f}\]

  2. Final simplification18.1

    \[\leadsto \left(a + b\right) + \frac{\left(\left(\left(d - c\right) \cdot \left(d - c\right)\right) \cdot e\right) \cdot f}{e + f}\]

Reproduce

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