Average Error: 6.2 → 1.6
Time: 7.7s
Precision: 64
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)\]
↓
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]
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(c \cdot i\right)\right)
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r757691 = 2.0;
        double r757692 = x;
        double r757693 = y;
        double r757694 = r757692 * r757693;
        double r757695 = z;
        double r757696 = t;
        double r757697 = r757695 * r757696;
        double r757698 = r757694 + r757697;
        double r757699 = a;
        double r757700 = b;
        double r757701 = c;
        double r757702 = r757700 * r757701;
        double r757703 = r757699 + r757702;
        double r757704 = r757703 * r757701;
        double r757705 = i;
        double r757706 = r757704 * r757705;
        double r757707 = r757698 - r757706;
        double r757708 = r757691 * r757707;
        return r757708;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r757709 = 2.0;
        double r757710 = x;
        double r757711 = y;
        double r757712 = r757710 * r757711;
        double r757713 = z;
        double r757714 = t;
        double r757715 = r757713 * r757714;
        double r757716 = r757712 + r757715;
        double r757717 = a;
        double r757718 = b;
        double r757719 = c;
        double r757720 = r757718 * r757719;
        double r757721 = r757717 + r757720;
        double r757722 = i;
        double r757723 = r757719 * r757722;
        double r757724 = r757721 * r757723;
        double r757725 = r757716 - r757724;
        double r757726 = r757709 * r757725;
        return r757726;
}

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
Target1.6
Herbie1.6
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]

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*1.6

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

  4. Final simplification1.6

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

Reproduce

herbie shell --seed 2020020 
(FPCore (x y z t a b c i)
  :name "Diagrams.ThreeD.Shapes:frustum from diagrams-lib-1.3.0.3, A"
  :precision binary64

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

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