Average Error: 0.0 → 0.0
Time: 18.2s
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 r123001 = x;
        double r123002 = y;
        double r123003 = r123001 * r123002;
        double r123004 = z;
        double r123005 = t;
        double r123006 = r123004 * r123005;
        double r123007 = r123003 + r123006;
        double r123008 = a;
        double r123009 = b;
        double r123010 = r123008 * r123009;
        double r123011 = r123007 + r123010;
        double r123012 = c;
        double r123013 = i;
        double r123014 = r123012 * r123013;
        double r123015 = r123011 + r123014;
        return r123015;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r123016 = x;
        double r123017 = y;
        double r123018 = r123016 * r123017;
        double r123019 = z;
        double r123020 = t;
        double r123021 = r123019 * r123020;
        double r123022 = r123018 + r123021;
        double r123023 = a;
        double r123024 = b;
        double r123025 = r123023 * r123024;
        double r123026 = r123022 + r123025;
        double r123027 = c;
        double r123028 = i;
        double r123029 = r123027 * r123028;
        double r123030 = r123026 + r123029;
        return r123030;
}

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 2020047 
(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)))