Average Error: 6.2 → 1.7
Time: 25.3s
Precision: 64
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)\]
↓
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(i \cdot c\right)\right)\]
2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)
↓
2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(i \cdot c\right)\right)
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r542757 = 2.0;
        double r542758 = x;
        double r542759 = y;
        double r542760 = r542758 * r542759;
        double r542761 = z;
        double r542762 = t;
        double r542763 = r542761 * r542762;
        double r542764 = r542760 + r542763;
        double r542765 = a;
        double r542766 = b;
        double r542767 = c;
        double r542768 = r542766 * r542767;
        double r542769 = r542765 + r542768;
        double r542770 = r542769 * r542767;
        double r542771 = i;
        double r542772 = r542770 * r542771;
        double r542773 = r542764 - r542772;
        double r542774 = r542757 * r542773;
        return r542774;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r542775 = 2.0;
        double r542776 = x;
        double r542777 = y;
        double r542778 = r542776 * r542777;
        double r542779 = z;
        double r542780 = t;
        double r542781 = r542779 * r542780;
        double r542782 = r542778 + r542781;
        double r542783 = a;
        double r542784 = b;
        double r542785 = c;
        double r542786 = r542784 * r542785;
        double r542787 = r542783 + r542786;
        double r542788 = i;
        double r542789 = r542788 * r542785;
        double r542790 = r542787 * r542789;
        double r542791 = r542782 - r542790;
        double r542792 = r542775 * r542791;
        return r542792;
}

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

Target

Original6.2
Target1.7
Herbie1.7
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]

Derivation

  1. Initial program 6.2

    \[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)\]
  2. Using strategy rm

  3. Applied associate-*l*1.7

    \[\leadsto 2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \color{blue}{\left(a + b \cdot c\right) \cdot \left(c \cdot i\right)}\right)\]

  4. Simplified1.7

    \[\leadsto 2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \color{blue}{\left(i \cdot c\right)}\right)\]

  5. Final simplification1.7

    \[\leadsto 2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(i \cdot c\right)\right)\]

Reproduce

herbie shell --seed 2019198 
(FPCore (x y z t a b c i)
  :name "Diagrams.ThreeD.Shapes:frustum from diagrams-lib-1.3.0.3, A"

  :herbie-target
  (* 2.0 (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))

  (* 2.0 (- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))))