Average Error: 0.0 → 0.0
Time: 1.9m
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 r92489 = x;
        double r92490 = y;
        double r92491 = r92489 * r92490;
        double r92492 = z;
        double r92493 = t;
        double r92494 = r92492 * r92493;
        double r92495 = r92491 + r92494;
        double r92496 = a;
        double r92497 = b;
        double r92498 = r92496 * r92497;
        double r92499 = r92495 + r92498;
        double r92500 = c;
        double r92501 = i;
        double r92502 = r92500 * r92501;
        double r92503 = r92499 + r92502;
        return r92503;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r92504 = x;
        double r92505 = y;
        double r92506 = r92504 * r92505;
        double r92507 = z;
        double r92508 = t;
        double r92509 = r92507 * r92508;
        double r92510 = r92506 + r92509;
        double r92511 = a;
        double r92512 = b;
        double r92513 = r92511 * r92512;
        double r92514 = r92510 + r92513;
        double r92515 = c;
        double r92516 = i;
        double r92517 = r92515 * r92516;
        double r92518 = r92514 + r92517;
        return r92518;
}

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 2020035 
(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)))