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 r106944 = x;
        double r106945 = y;
        double r106946 = r106944 * r106945;
        double r106947 = z;
        double r106948 = t;
        double r106949 = r106947 * r106948;
        double r106950 = r106946 + r106949;
        double r106951 = a;
        double r106952 = b;
        double r106953 = r106951 * r106952;
        double r106954 = r106950 + r106953;
        double r106955 = c;
        double r106956 = i;
        double r106957 = r106955 * r106956;
        double r106958 = r106954 + r106957;
        return r106958;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r106959 = x;
        double r106960 = y;
        double r106961 = r106959 * r106960;
        double r106962 = z;
        double r106963 = t;
        double r106964 = r106962 * r106963;
        double r106965 = r106961 + r106964;
        double r106966 = a;
        double r106967 = b;
        double r106968 = r106966 * r106967;
        double r106969 = r106965 + r106968;
        double r106970 = c;
        double r106971 = i;
        double r106972 = r106970 * r106971;
        double r106973 = r106969 + r106972;
        return r106973;
}

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"
  :precision binary64
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))