Average Error: 0.0 → 0.0
Time: 31.7s
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 r126646 = x;
        double r126647 = y;
        double r126648 = r126646 * r126647;
        double r126649 = z;
        double r126650 = t;
        double r126651 = r126649 * r126650;
        double r126652 = r126648 + r126651;
        double r126653 = a;
        double r126654 = b;
        double r126655 = r126653 * r126654;
        double r126656 = r126652 + r126655;
        double r126657 = c;
        double r126658 = i;
        double r126659 = r126657 * r126658;
        double r126660 = r126656 + r126659;
        return r126660;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r126661 = x;
        double r126662 = y;
        double r126663 = r126661 * r126662;
        double r126664 = z;
        double r126665 = t;
        double r126666 = r126664 * r126665;
        double r126667 = r126663 + r126666;
        double r126668 = a;
        double r126669 = b;
        double r126670 = r126668 * r126669;
        double r126671 = r126667 + r126670;
        double r126672 = c;
        double r126673 = i;
        double r126674 = r126672 * r126673;
        double r126675 = r126671 + r126674;
        return r126675;
}

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 2019303 
(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)))