Average Error: 0.0 → 0.0
Time: 3.8s
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 r72040 = x;
        double r72041 = y;
        double r72042 = r72040 * r72041;
        double r72043 = z;
        double r72044 = t;
        double r72045 = r72043 * r72044;
        double r72046 = r72042 + r72045;
        double r72047 = a;
        double r72048 = b;
        double r72049 = r72047 * r72048;
        double r72050 = r72046 + r72049;
        double r72051 = c;
        double r72052 = i;
        double r72053 = r72051 * r72052;
        double r72054 = r72050 + r72053;
        return r72054;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r72055 = x;
        double r72056 = y;
        double r72057 = r72055 * r72056;
        double r72058 = z;
        double r72059 = t;
        double r72060 = r72058 * r72059;
        double r72061 = r72057 + r72060;
        double r72062 = a;
        double r72063 = b;
        double r72064 = r72062 * r72063;
        double r72065 = r72061 + r72064;
        double r72066 = c;
        double r72067 = i;
        double r72068 = r72066 * r72067;
        double r72069 = r72065 + r72068;
        return r72069;
}

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 2020020 
(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)))