Average Error: 0.0 → 0.0
Time: 4.2s
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[\left(x \cdot y + z \cdot t\right) + \left(a \cdot b + i \cdot c\right)\]
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
↓
\left(x \cdot y + z \cdot t\right) + \left(a \cdot b + i \cdot c\right)
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r98669 = x;
        double r98670 = y;
        double r98671 = r98669 * r98670;
        double r98672 = z;
        double r98673 = t;
        double r98674 = r98672 * r98673;
        double r98675 = r98671 + r98674;
        double r98676 = a;
        double r98677 = b;
        double r98678 = r98676 * r98677;
        double r98679 = r98675 + r98678;
        double r98680 = c;
        double r98681 = i;
        double r98682 = r98680 * r98681;
        double r98683 = r98679 + r98682;
        return r98683;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r98684 = x;
        double r98685 = y;
        double r98686 = r98684 * r98685;
        double r98687 = z;
        double r98688 = t;
        double r98689 = r98687 * r98688;
        double r98690 = r98686 + r98689;
        double r98691 = a;
        double r98692 = b;
        double r98693 = r98691 * r98692;
        double r98694 = i;
        double r98695 = c;
        double r98696 = r98694 * r98695;
        double r98697 = r98693 + r98696;
        double r98698 = r98690 + r98697;
        return r98698;
}

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. Using strategy rm

  3. Applied associate-+l+0.0

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

  4. Simplified0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2020025 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3, C"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))