Average Error: 0.0 → 0.0
Time: 2.0m
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 r182570 = x;
        double r182571 = y;
        double r182572 = r182570 * r182571;
        double r182573 = z;
        double r182574 = t;
        double r182575 = r182573 * r182574;
        double r182576 = r182572 + r182575;
        double r182577 = a;
        double r182578 = b;
        double r182579 = r182577 * r182578;
        double r182580 = r182576 + r182579;
        double r182581 = c;
        double r182582 = i;
        double r182583 = r182581 * r182582;
        double r182584 = r182580 + r182583;
        return r182584;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r182585 = x;
        double r182586 = y;
        double r182587 = r182585 * r182586;
        double r182588 = z;
        double r182589 = t;
        double r182590 = r182588 * r182589;
        double r182591 = r182587 + r182590;
        double r182592 = a;
        double r182593 = b;
        double r182594 = r182592 * r182593;
        double r182595 = r182591 + r182594;
        double r182596 = c;
        double r182597 = i;
        double r182598 = r182596 * r182597;
        double r182599 = r182595 + r182598;
        return r182599;
}

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 2020036 
(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)))