Average Error: 0.0 → 0.0
Time: 28.2s
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 r136989 = x;
        double r136990 = y;
        double r136991 = r136989 * r136990;
        double r136992 = z;
        double r136993 = t;
        double r136994 = r136992 * r136993;
        double r136995 = r136991 + r136994;
        double r136996 = a;
        double r136997 = b;
        double r136998 = r136996 * r136997;
        double r136999 = r136995 + r136998;
        double r137000 = c;
        double r137001 = i;
        double r137002 = r137000 * r137001;
        double r137003 = r136999 + r137002;
        return r137003;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r137004 = x;
        double r137005 = y;
        double r137006 = r137004 * r137005;
        double r137007 = z;
        double r137008 = t;
        double r137009 = r137007 * r137008;
        double r137010 = r137006 + r137009;
        double r137011 = a;
        double r137012 = b;
        double r137013 = r137011 * r137012;
        double r137014 = r137010 + r137013;
        double r137015 = c;
        double r137016 = i;
        double r137017 = r137015 * r137016;
        double r137018 = r137014 + r137017;
        return r137018;
}

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