Average Error: 0.0 → 0.0
Time: 29.3s
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 r92986 = x;
        double r92987 = y;
        double r92988 = r92986 * r92987;
        double r92989 = z;
        double r92990 = t;
        double r92991 = r92989 * r92990;
        double r92992 = r92988 + r92991;
        double r92993 = a;
        double r92994 = b;
        double r92995 = r92993 * r92994;
        double r92996 = r92992 + r92995;
        double r92997 = c;
        double r92998 = i;
        double r92999 = r92997 * r92998;
        double r93000 = r92996 + r92999;
        return r93000;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r93001 = x;
        double r93002 = y;
        double r93003 = r93001 * r93002;
        double r93004 = z;
        double r93005 = t;
        double r93006 = r93004 * r93005;
        double r93007 = r93003 + r93006;
        double r93008 = a;
        double r93009 = b;
        double r93010 = r93008 * r93009;
        double r93011 = r93007 + r93010;
        double r93012 = c;
        double r93013 = i;
        double r93014 = r93012 * r93013;
        double r93015 = r93011 + r93014;
        return r93015;
}

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 2019304 
(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)))