Average Error: 0.0 → 0.0
Time: 12.3s
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 r7368663 = x;
        double r7368664 = y;
        double r7368665 = r7368663 * r7368664;
        double r7368666 = z;
        double r7368667 = t;
        double r7368668 = r7368666 * r7368667;
        double r7368669 = r7368665 + r7368668;
        double r7368670 = a;
        double r7368671 = b;
        double r7368672 = r7368670 * r7368671;
        double r7368673 = r7368669 + r7368672;
        double r7368674 = c;
        double r7368675 = i;
        double r7368676 = r7368674 * r7368675;
        double r7368677 = r7368673 + r7368676;
        return r7368677;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r7368678 = c;
        double r7368679 = i;
        double r7368680 = r7368678 * r7368679;
        double r7368681 = z;
        double r7368682 = t;
        double r7368683 = r7368681 * r7368682;
        double r7368684 = x;
        double r7368685 = y;
        double r7368686 = r7368684 * r7368685;
        double r7368687 = r7368683 + r7368686;
        double r7368688 = a;
        double r7368689 = b;
        double r7368690 = r7368688 * r7368689;
        double r7368691 = r7368687 + r7368690;
        double r7368692 = r7368680 + r7368691;
        return r7368692;
}

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 2019169 
(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)))