Average Error: 0.0 → 0.0
Time: 5.6s
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 r146966 = x;
        double r146967 = y;
        double r146968 = r146966 * r146967;
        double r146969 = z;
        double r146970 = t;
        double r146971 = r146969 * r146970;
        double r146972 = r146968 + r146971;
        double r146973 = a;
        double r146974 = b;
        double r146975 = r146973 * r146974;
        double r146976 = r146972 + r146975;
        double r146977 = c;
        double r146978 = i;
        double r146979 = r146977 * r146978;
        double r146980 = r146976 + r146979;
        return r146980;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r146981 = x;
        double r146982 = y;
        double r146983 = r146981 * r146982;
        double r146984 = z;
        double r146985 = t;
        double r146986 = r146984 * r146985;
        double r146987 = r146983 + r146986;
        double r146988 = a;
        double r146989 = b;
        double r146990 = r146988 * r146989;
        double r146991 = r146987 + r146990;
        double r146992 = c;
        double r146993 = i;
        double r146994 = r146992 * r146993;
        double r146995 = r146991 + r146994;
        return r146995;
}

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 2020064 
(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)))