Average Error: 0.0 → 0.0
Time: 15.5s
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 r65995 = x;
        double r65996 = y;
        double r65997 = r65995 * r65996;
        double r65998 = z;
        double r65999 = t;
        double r66000 = r65998 * r65999;
        double r66001 = r65997 + r66000;
        double r66002 = a;
        double r66003 = b;
        double r66004 = r66002 * r66003;
        double r66005 = r66001 + r66004;
        double r66006 = c;
        double r66007 = i;
        double r66008 = r66006 * r66007;
        double r66009 = r66005 + r66008;
        return r66009;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r66010 = x;
        double r66011 = y;
        double r66012 = r66010 * r66011;
        double r66013 = z;
        double r66014 = t;
        double r66015 = r66013 * r66014;
        double r66016 = r66012 + r66015;
        double r66017 = a;
        double r66018 = b;
        double r66019 = r66017 * r66018;
        double r66020 = r66016 + r66019;
        double r66021 = c;
        double r66022 = i;
        double r66023 = r66021 * r66022;
        double r66024 = r66020 + r66023;
        return r66024;
}

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 2019298 
(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)))