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 r182028 = x;
        double r182029 = y;
        double r182030 = r182028 * r182029;
        double r182031 = z;
        double r182032 = t;
        double r182033 = r182031 * r182032;
        double r182034 = r182030 + r182033;
        double r182035 = a;
        double r182036 = b;
        double r182037 = r182035 * r182036;
        double r182038 = r182034 + r182037;
        double r182039 = c;
        double r182040 = i;
        double r182041 = r182039 * r182040;
        double r182042 = r182038 + r182041;
        return r182042;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r182043 = x;
        double r182044 = y;
        double r182045 = r182043 * r182044;
        double r182046 = z;
        double r182047 = t;
        double r182048 = r182046 * r182047;
        double r182049 = r182045 + r182048;
        double r182050 = a;
        double r182051 = b;
        double r182052 = r182050 * r182051;
        double r182053 = r182049 + r182052;
        double r182054 = c;
        double r182055 = i;
        double r182056 = r182054 * r182055;
        double r182057 = r182053 + r182056;
        return r182057;
}

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 2020047 
(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)))