Average Error: 0.0 → 0.0
Time: 14.1s
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
↓
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r77636 = x;
        double r77637 = y;
        double r77638 = r77636 * r77637;
        double r77639 = z;
        double r77640 = t;
        double r77641 = r77639 * r77640;
        double r77642 = r77638 + r77641;
        double r77643 = a;
        double r77644 = b;
        double r77645 = r77643 * r77644;
        double r77646 = r77642 + r77645;
        double r77647 = c;
        double r77648 = i;
        double r77649 = r77647 * r77648;
        double r77650 = r77646 + r77649;
        return r77650;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r77651 = x;
        double r77652 = y;
        double r77653 = r77651 * r77652;
        double r77654 = z;
        double r77655 = t;
        double r77656 = r77654 * r77655;
        double r77657 = r77653 + r77656;
        double r77658 = a;
        double r77659 = b;
        double r77660 = r77658 * r77659;
        double r77661 = r77657 + r77660;
        double r77662 = c;
        double r77663 = i;
        double r77664 = r77662 * r77663;
        double r77665 = r77661 + r77664;
        return r77665;
}

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

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

Reproduce

herbie shell --seed 2020043 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))