Diagrams.ThreeD.Shapes:frustum from diagrams-lib-1.3.0.3, A

Average Error: 6.3 → 1.6

Time: 21.7s

Precision: 64

• Falling back on racket egraph because egg-herbie package not installed

Math

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

↓

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

C

double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r1019583 = 2.0;
        double r1019584 = x;
        double r1019585 = y;
        double r1019586 = r1019584 * r1019585;
        double r1019587 = z;
        double r1019588 = t;
        double r1019589 = r1019587 * r1019588;
        double r1019590 = r1019586 + r1019589;
        double r1019591 = a;
        double r1019592 = b;
        double r1019593 = c;
        double r1019594 = r1019592 * r1019593;
        double r1019595 = r1019591 + r1019594;
        double r1019596 = r1019595 * r1019593;
        double r1019597 = i;
        double r1019598 = r1019596 * r1019597;
        double r1019599 = r1019590 - r1019598;
        double r1019600 = r1019583 * r1019599;
        return r1019600;
}

↓

double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r1019601 = 2.0;
        double r1019602 = x;
        double r1019603 = y;
        double r1019604 = r1019602 * r1019603;
        double r1019605 = z;
        double r1019606 = t;
        double r1019607 = r1019605 * r1019606;
        double r1019608 = r1019604 + r1019607;
        double r1019609 = a;
        double r1019610 = b;
        double r1019611 = c;
        double r1019612 = r1019610 * r1019611;
        double r1019613 = r1019609 + r1019612;
        double r1019614 = i;
        double r1019615 = r1019614 * r1019611;
        double r1019616 = r1019613 * r1019615;
        double r1019617 = r1019608 - r1019616;
        double r1019618 = r1019601 * r1019617;
        return r1019618;
}

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

Target

Original	6.3
Target	1.6
Herbie	1.6

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

Derivation

1. Initial program 6.3

   \[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)\]
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. Simplified 1.6

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

5. Final simplification 1.6

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

Reproduce

herbie shell --seed 2020047 
(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))))