Average Error: 0.0 → 0.0
Time: 28.5s
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 r3314133 = x;
        double r3314134 = y;
        double r3314135 = r3314133 * r3314134;
        double r3314136 = z;
        double r3314137 = t;
        double r3314138 = r3314136 * r3314137;
        double r3314139 = r3314135 + r3314138;
        double r3314140 = a;
        double r3314141 = b;
        double r3314142 = r3314140 * r3314141;
        double r3314143 = r3314139 + r3314142;
        double r3314144 = c;
        double r3314145 = i;
        double r3314146 = r3314144 * r3314145;
        double r3314147 = r3314143 + r3314146;
        return r3314147;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r3314148 = c;
        double r3314149 = i;
        double r3314150 = r3314148 * r3314149;
        double r3314151 = z;
        double r3314152 = t;
        double r3314153 = r3314151 * r3314152;
        double r3314154 = x;
        double r3314155 = y;
        double r3314156 = r3314154 * r3314155;
        double r3314157 = r3314153 + r3314156;
        double r3314158 = a;
        double r3314159 = b;
        double r3314160 = r3314158 * r3314159;
        double r3314161 = r3314157 + r3314160;
        double r3314162 = r3314150 + r3314161;
        return r3314162;
}

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 2019143 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3"
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))