Average Error: 0.0 → 0.0
Time: 33.9s
Precision: 64
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)\]
\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i
↓
c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r6383134 = x;
        double r6383135 = y;
        double r6383136 = r6383134 * r6383135;
        double r6383137 = z;
        double r6383138 = t;
        double r6383139 = r6383137 * r6383138;
        double r6383140 = r6383136 + r6383139;
        double r6383141 = a;
        double r6383142 = b;
        double r6383143 = r6383141 * r6383142;
        double r6383144 = r6383140 + r6383143;
        double r6383145 = c;
        double r6383146 = i;
        double r6383147 = r6383145 * r6383146;
        double r6383148 = r6383144 + r6383147;
        return r6383148;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r6383149 = c;
        double r6383150 = i;
        double r6383151 = r6383149 * r6383150;
        double r6383152 = z;
        double r6383153 = t;
        double r6383154 = r6383152 * r6383153;
        double r6383155 = x;
        double r6383156 = y;
        double r6383157 = r6383155 * r6383156;
        double r6383158 = r6383154 + r6383157;
        double r6383159 = a;
        double r6383160 = b;
        double r6383161 = r6383159 * r6383160;
        double r6383162 = r6383158 + r6383161;
        double r6383163 = r6383151 + r6383162;
        return r6383163;
}

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

    \[\leadsto c \cdot i + \left(\left(z \cdot t + x \cdot y\right) + a \cdot b\right)\]

Reproduce

herbie shell --seed 2019172 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3, C"
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))