Average Error: 0.0 → 0.0
Time: 18.3s
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 r58104 = x;
        double r58105 = y;
        double r58106 = r58104 * r58105;
        double r58107 = z;
        double r58108 = t;
        double r58109 = r58107 * r58108;
        double r58110 = r58106 + r58109;
        double r58111 = a;
        double r58112 = b;
        double r58113 = r58111 * r58112;
        double r58114 = r58110 + r58113;
        double r58115 = c;
        double r58116 = i;
        double r58117 = r58115 * r58116;
        double r58118 = r58114 + r58117;
        return r58118;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r58119 = x;
        double r58120 = y;
        double r58121 = r58119 * r58120;
        double r58122 = z;
        double r58123 = t;
        double r58124 = r58122 * r58123;
        double r58125 = r58121 + r58124;
        double r58126 = a;
        double r58127 = b;
        double r58128 = r58126 * r58127;
        double r58129 = r58125 + r58128;
        double r58130 = c;
        double r58131 = i;
        double r58132 = r58130 * r58131;
        double r58133 = r58129 + r58132;
        return r58133;
}

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 2019347 
(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)))