Average Error: 6.1 → 1.8
Time: 21.8s
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 r30413200 = 2.0;
        double r30413201 = x;
        double r30413202 = y;
        double r30413203 = r30413201 * r30413202;
        double r30413204 = z;
        double r30413205 = t;
        double r30413206 = r30413204 * r30413205;
        double r30413207 = r30413203 + r30413206;
        double r30413208 = a;
        double r30413209 = b;
        double r30413210 = c;
        double r30413211 = r30413209 * r30413210;
        double r30413212 = r30413208 + r30413211;
        double r30413213 = r30413212 * r30413210;
        double r30413214 = i;
        double r30413215 = r30413213 * r30413214;
        double r30413216 = r30413207 - r30413215;
        double r30413217 = r30413200 * r30413216;
        return r30413217;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r30413218 = 2.0;
        double r30413219 = y;
        double r30413220 = x;
        double r30413221 = r30413219 * r30413220;
        double r30413222 = z;
        double r30413223 = t;
        double r30413224 = r30413222 * r30413223;
        double r30413225 = r30413221 + r30413224;
        double r30413226 = a;
        double r30413227 = b;
        double r30413228 = c;
        double r30413229 = r30413227 * r30413228;
        double r30413230 = r30413226 + r30413229;
        double r30413231 = i;
        double r30413232 = r30413228 * r30413231;
        double r30413233 = r30413230 * r30413232;
        double r30413234 = r30413225 - r30413233;
        double r30413235 = r30413218 * r30413234;
        return r30413235;
}

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

Original6.1
Target1.8
Herbie1.8
\[2.0 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]

Derivation

  1. Initial program 6.1

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

  3. Applied associate-*l*1.8

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

  4. Final simplification1.8

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

Reproduce

herbie shell --seed 2019165 
(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))))