Average Error: 0.0 → 0.0
Time: 19.3s
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)\]
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
↓
c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r7006672 = x;
        double r7006673 = y;
        double r7006674 = r7006672 * r7006673;
        double r7006675 = z;
        double r7006676 = t;
        double r7006677 = r7006675 * r7006676;
        double r7006678 = r7006674 + r7006677;
        double r7006679 = a;
        double r7006680 = b;
        double r7006681 = r7006679 * r7006680;
        double r7006682 = r7006678 + r7006681;
        double r7006683 = c;
        double r7006684 = i;
        double r7006685 = r7006683 * r7006684;
        double r7006686 = r7006682 + r7006685;
        return r7006686;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r7006687 = c;
        double r7006688 = i;
        double r7006689 = r7006687 * r7006688;
        double r7006690 = z;
        double r7006691 = t;
        double r7006692 = r7006690 * r7006691;
        double r7006693 = x;
        double r7006694 = y;
        double r7006695 = r7006693 * r7006694;
        double r7006696 = r7006692 + r7006695;
        double r7006697 = a;
        double r7006698 = b;
        double r7006699 = r7006697 * r7006698;
        double r7006700 = r7006696 + r7006699;
        double r7006701 = r7006689 + r7006700;
        return r7006701;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Bits error versus b

Bits error versus c

Bits error versus i

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]

  2. Final simplification0.0

    \[\leadsto c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)\]

Reproduce

herbie shell --seed 2019164 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3, C"
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))