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

Average Error: 6.3 → 1.6

Time: 18.6s

Precision: 64

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

Math

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

↓

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

C

double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r759151 = 2.0;
        double r759152 = x;
        double r759153 = y;
        double r759154 = r759152 * r759153;
        double r759155 = z;
        double r759156 = t;
        double r759157 = r759155 * r759156;
        double r759158 = r759154 + r759157;
        double r759159 = a;
        double r759160 = b;
        double r759161 = c;
        double r759162 = r759160 * r759161;
        double r759163 = r759159 + r759162;
        double r759164 = r759163 * r759161;
        double r759165 = i;
        double r759166 = r759164 * r759165;
        double r759167 = r759158 - r759166;
        double r759168 = r759151 * r759167;
        return r759168;
}

↓

double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r759169 = 2.0;
        double r759170 = x;
        double r759171 = y;
        double r759172 = r759170 * r759171;
        double r759173 = z;
        double r759174 = t;
        double r759175 = r759173 * r759174;
        double r759176 = r759172 + r759175;
        double r759177 = a;
        double r759178 = b;
        double r759179 = c;
        double r759180 = r759178 * r759179;
        double r759181 = r759177 + r759180;
        double r759182 = i;
        double r759183 = r759179 * r759182;
        double r759184 = r759181 * r759183;
        double r759185 = r759176 - r759184;
        double r759186 = r759169 * r759185;
        return r759186;
}

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. Final simplification 1.6

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

Reproduce

herbie shell --seed 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))))