Average Error: 0.0 → 0.0
Time: 3.9m
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 r7886092 = x;
        double r7886093 = y;
        double r7886094 = r7886092 * r7886093;
        double r7886095 = z;
        double r7886096 = t;
        double r7886097 = r7886095 * r7886096;
        double r7886098 = r7886094 + r7886097;
        double r7886099 = a;
        double r7886100 = b;
        double r7886101 = r7886099 * r7886100;
        double r7886102 = r7886098 + r7886101;
        double r7886103 = c;
        double r7886104 = i;
        double r7886105 = r7886103 * r7886104;
        double r7886106 = r7886102 + r7886105;
        return r7886106;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r7886107 = c;
        double r7886108 = i;
        double r7886109 = r7886107 * r7886108;
        double r7886110 = z;
        double r7886111 = t;
        double r7886112 = r7886110 * r7886111;
        double r7886113 = x;
        double r7886114 = y;
        double r7886115 = r7886113 * r7886114;
        double r7886116 = r7886112 + r7886115;
        double r7886117 = a;
        double r7886118 = b;
        double r7886119 = r7886117 * r7886118;
        double r7886120 = r7886116 + r7886119;
        double r7886121 = r7886109 + r7886120;
        return r7886121;
}

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 2019165 
(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)))