Average Error: 0.0 → 0.0
Time: 2.1s
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 r63989 = x;
        double r63990 = y;
        double r63991 = r63989 * r63990;
        double r63992 = z;
        double r63993 = t;
        double r63994 = r63992 * r63993;
        double r63995 = r63991 + r63994;
        double r63996 = a;
        double r63997 = b;
        double r63998 = r63996 * r63997;
        double r63999 = r63995 + r63998;
        double r64000 = c;
        double r64001 = i;
        double r64002 = r64000 * r64001;
        double r64003 = r63999 + r64002;
        return r64003;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r64004 = x;
        double r64005 = y;
        double r64006 = r64004 * r64005;
        double r64007 = z;
        double r64008 = t;
        double r64009 = r64007 * r64008;
        double r64010 = r64006 + r64009;
        double r64011 = a;
        double r64012 = b;
        double r64013 = r64011 * r64012;
        double r64014 = r64010 + r64013;
        double r64015 = c;
        double r64016 = i;
        double r64017 = r64015 * r64016;
        double r64018 = r64014 + r64017;
        return r64018;
}

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 2019352 
(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)))