Average Error: 6.2 → 1.7
Time: 31.4s
Precision: 64
\[2.0 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)\]
↓
\[2.0 \cdot \left(\left(y \cdot x + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]
2.0 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)
↓
2.0 \cdot \left(\left(y \cdot x + 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 r34873699 = 2.0;
        double r34873700 = x;
        double r34873701 = y;
        double r34873702 = r34873700 * r34873701;
        double r34873703 = z;
        double r34873704 = t;
        double r34873705 = r34873703 * r34873704;
        double r34873706 = r34873702 + r34873705;
        double r34873707 = a;
        double r34873708 = b;
        double r34873709 = c;
        double r34873710 = r34873708 * r34873709;
        double r34873711 = r34873707 + r34873710;
        double r34873712 = r34873711 * r34873709;
        double r34873713 = i;
        double r34873714 = r34873712 * r34873713;
        double r34873715 = r34873706 - r34873714;
        double r34873716 = r34873699 * r34873715;
        return r34873716;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r34873717 = 2.0;
        double r34873718 = y;
        double r34873719 = x;
        double r34873720 = r34873718 * r34873719;
        double r34873721 = z;
        double r34873722 = t;
        double r34873723 = r34873721 * r34873722;
        double r34873724 = r34873720 + r34873723;
        double r34873725 = a;
        double r34873726 = b;
        double r34873727 = c;
        double r34873728 = r34873726 * r34873727;
        double r34873729 = r34873725 + r34873728;
        double r34873730 = i;
        double r34873731 = r34873727 * r34873730;
        double r34873732 = r34873729 * r34873731;
        double r34873733 = r34873724 - r34873732;
        double r34873734 = r34873717 * r34873733;
        return r34873734;
}

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
\[2.0 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]

Derivation

  1. Initial program 6.2

    \[2.0 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)\]
  2. Using strategy rm

  3. Applied associate-*l*1.7

    \[\leadsto 2.0 \cdot \left(\left(x \cdot y + z \cdot t\right) - \color{blue}{\left(a + b \cdot c\right) \cdot \left(c \cdot i\right)}\right)\]

  4. Final simplification1.7

    \[\leadsto 2.0 \cdot \left(\left(y \cdot x + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]

Reproduce

herbie shell --seed 2019164 
(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))))