Average Error: 0.0 → 0.0
Time: 16.1s
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 r162085 = x;
        double r162086 = y;
        double r162087 = r162085 * r162086;
        double r162088 = z;
        double r162089 = t;
        double r162090 = r162088 * r162089;
        double r162091 = r162087 + r162090;
        double r162092 = a;
        double r162093 = b;
        double r162094 = r162092 * r162093;
        double r162095 = r162091 + r162094;
        double r162096 = c;
        double r162097 = i;
        double r162098 = r162096 * r162097;
        double r162099 = r162095 + r162098;
        return r162099;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r162100 = x;
        double r162101 = y;
        double r162102 = r162100 * r162101;
        double r162103 = z;
        double r162104 = t;
        double r162105 = r162103 * r162104;
        double r162106 = r162102 + r162105;
        double r162107 = a;
        double r162108 = b;
        double r162109 = r162107 * r162108;
        double r162110 = r162106 + r162109;
        double r162111 = c;
        double r162112 = i;
        double r162113 = r162111 * r162112;
        double r162114 = r162110 + r162113;
        return r162114;
}

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 2020056 
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3, C"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))