Average Error: 6.2 → 1.7
Time: 19.3s
Precision: 64
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)\]
↓
\[2 \cdot \left(\left(y \cdot x + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]
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(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 r509185 = 2.0;
        double r509186 = x;
        double r509187 = y;
        double r509188 = r509186 * r509187;
        double r509189 = z;
        double r509190 = t;
        double r509191 = r509189 * r509190;
        double r509192 = r509188 + r509191;
        double r509193 = a;
        double r509194 = b;
        double r509195 = c;
        double r509196 = r509194 * r509195;
        double r509197 = r509193 + r509196;
        double r509198 = r509197 * r509195;
        double r509199 = i;
        double r509200 = r509198 * r509199;
        double r509201 = r509192 - r509200;
        double r509202 = r509185 * r509201;
        return r509202;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r509203 = 2.0;
        double r509204 = y;
        double r509205 = x;
        double r509206 = r509204 * r509205;
        double r509207 = z;
        double r509208 = t;
        double r509209 = r509207 * r509208;
        double r509210 = r509206 + r509209;
        double r509211 = a;
        double r509212 = b;
        double r509213 = c;
        double r509214 = r509212 * r509213;
        double r509215 = r509211 + r509214;
        double r509216 = i;
        double r509217 = r509213 * r509216;
        double r509218 = r509215 * r509217;
        double r509219 = r509210 - r509218;
        double r509220 = r509203 * r509219;
        return r509220;
}

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

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*1.7

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

  4. Simplified1.7

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

  5. Final simplification1.7

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

Reproduce

herbie shell --seed 2019194 
(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))))