Average Error: 0.0 → 0.0
Time: 11.4s
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 r169020 = x;
        double r169021 = y;
        double r169022 = r169020 * r169021;
        double r169023 = z;
        double r169024 = t;
        double r169025 = r169023 * r169024;
        double r169026 = r169022 + r169025;
        double r169027 = a;
        double r169028 = b;
        double r169029 = r169027 * r169028;
        double r169030 = r169026 + r169029;
        double r169031 = c;
        double r169032 = i;
        double r169033 = r169031 * r169032;
        double r169034 = r169030 + r169033;
        return r169034;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r169035 = x;
        double r169036 = y;
        double r169037 = r169035 * r169036;
        double r169038 = z;
        double r169039 = t;
        double r169040 = r169038 * r169039;
        double r169041 = r169037 + r169040;
        double r169042 = a;
        double r169043 = b;
        double r169044 = r169042 * r169043;
        double r169045 = r169041 + r169044;
        double r169046 = c;
        double r169047 = i;
        double r169048 = r169046 * r169047;
        double r169049 = r169045 + r169048;
        return r169049;
}

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 2020062 
(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)))