Average Error: 6.4 → 1.8
Time: 21.3s
Precision: 64
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)\]
↓
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]
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(x \cdot y + 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 r735172 = 2.0;
        double r735173 = x;
        double r735174 = y;
        double r735175 = r735173 * r735174;
        double r735176 = z;
        double r735177 = t;
        double r735178 = r735176 * r735177;
        double r735179 = r735175 + r735178;
        double r735180 = a;
        double r735181 = b;
        double r735182 = c;
        double r735183 = r735181 * r735182;
        double r735184 = r735180 + r735183;
        double r735185 = r735184 * r735182;
        double r735186 = i;
        double r735187 = r735185 * r735186;
        double r735188 = r735179 - r735187;
        double r735189 = r735172 * r735188;
        return r735189;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r735190 = 2.0;
        double r735191 = x;
        double r735192 = y;
        double r735193 = r735191 * r735192;
        double r735194 = z;
        double r735195 = t;
        double r735196 = r735194 * r735195;
        double r735197 = r735193 + r735196;
        double r735198 = a;
        double r735199 = b;
        double r735200 = c;
        double r735201 = r735199 * r735200;
        double r735202 = r735198 + r735201;
        double r735203 = i;
        double r735204 = r735200 * r735203;
        double r735205 = r735202 * r735204;
        double r735206 = r735197 - r735205;
        double r735207 = r735190 * r735206;
        return r735207;
}

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

Original6.4
Target1.8
Herbie1.8
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]

Derivation

  1. Initial program 6.4

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

  3. Applied associate-*l*1.8

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

  4. Final simplification1.8

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

Reproduce

herbie shell --seed 2020042 
(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))))