Average Error: 0.0 → 0.0
Time: 3.4m
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 r129096 = x;
        double r129097 = y;
        double r129098 = r129096 * r129097;
        double r129099 = z;
        double r129100 = t;
        double r129101 = r129099 * r129100;
        double r129102 = r129098 + r129101;
        double r129103 = a;
        double r129104 = b;
        double r129105 = r129103 * r129104;
        double r129106 = r129102 + r129105;
        double r129107 = c;
        double r129108 = i;
        double r129109 = r129107 * r129108;
        double r129110 = r129106 + r129109;
        return r129110;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r129111 = x;
        double r129112 = y;
        double r129113 = r129111 * r129112;
        double r129114 = z;
        double r129115 = t;
        double r129116 = r129114 * r129115;
        double r129117 = r129113 + r129116;
        double r129118 = a;
        double r129119 = b;
        double r129120 = r129118 * r129119;
        double r129121 = r129117 + r129120;
        double r129122 = c;
        double r129123 = i;
        double r129124 = r129122 * r129123;
        double r129125 = r129121 + r129124;
        return r129125;
}

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 2020046 
(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)))