Average Error: 0.0 → 0.0
Time: 2.0m
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 r183590 = x;
        double r183591 = y;
        double r183592 = r183590 * r183591;
        double r183593 = z;
        double r183594 = t;
        double r183595 = r183593 * r183594;
        double r183596 = r183592 + r183595;
        double r183597 = a;
        double r183598 = b;
        double r183599 = r183597 * r183598;
        double r183600 = r183596 + r183599;
        double r183601 = c;
        double r183602 = i;
        double r183603 = r183601 * r183602;
        double r183604 = r183600 + r183603;
        return r183604;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r183605 = x;
        double r183606 = y;
        double r183607 = r183605 * r183606;
        double r183608 = z;
        double r183609 = t;
        double r183610 = r183608 * r183609;
        double r183611 = r183607 + r183610;
        double r183612 = a;
        double r183613 = b;
        double r183614 = r183612 * r183613;
        double r183615 = r183611 + r183614;
        double r183616 = c;
        double r183617 = i;
        double r183618 = r183616 * r183617;
        double r183619 = r183615 + r183618;
        return r183619;
}

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 2020035 
(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)))