Average Error: 0.0 → 0.0
Time: 6.6s
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 r80940 = x;
        double r80941 = y;
        double r80942 = r80940 * r80941;
        double r80943 = z;
        double r80944 = t;
        double r80945 = r80943 * r80944;
        double r80946 = r80942 + r80945;
        double r80947 = a;
        double r80948 = b;
        double r80949 = r80947 * r80948;
        double r80950 = r80946 + r80949;
        double r80951 = c;
        double r80952 = i;
        double r80953 = r80951 * r80952;
        double r80954 = r80950 + r80953;
        return r80954;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r80955 = x;
        double r80956 = y;
        double r80957 = r80955 * r80956;
        double r80958 = z;
        double r80959 = t;
        double r80960 = r80958 * r80959;
        double r80961 = r80957 + r80960;
        double r80962 = a;
        double r80963 = b;
        double r80964 = r80962 * r80963;
        double r80965 = r80961 + r80964;
        double r80966 = c;
        double r80967 = i;
        double r80968 = r80966 * r80967;
        double r80969 = r80965 + r80968;
        return r80969;
}

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