Average Error: 6.1 → 1.8
Time: 28.3s
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 r702162 = 2.0;
        double r702163 = x;
        double r702164 = y;
        double r702165 = r702163 * r702164;
        double r702166 = z;
        double r702167 = t;
        double r702168 = r702166 * r702167;
        double r702169 = r702165 + r702168;
        double r702170 = a;
        double r702171 = b;
        double r702172 = c;
        double r702173 = r702171 * r702172;
        double r702174 = r702170 + r702173;
        double r702175 = r702174 * r702172;
        double r702176 = i;
        double r702177 = r702175 * r702176;
        double r702178 = r702169 - r702177;
        double r702179 = r702162 * r702178;
        return r702179;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r702180 = 2.0;
        double r702181 = x;
        double r702182 = y;
        double r702183 = r702181 * r702182;
        double r702184 = z;
        double r702185 = t;
        double r702186 = r702184 * r702185;
        double r702187 = r702183 + r702186;
        double r702188 = a;
        double r702189 = b;
        double r702190 = c;
        double r702191 = r702189 * r702190;
        double r702192 = r702188 + r702191;
        double r702193 = i;
        double r702194 = r702190 * r702193;
        double r702195 = r702192 * r702194;
        double r702196 = r702187 - r702195;
        double r702197 = r702180 * r702196;
        return r702197;
}

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

Derivation

  1. Initial program 6.1

    \[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)\]
  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 2020045 
(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))))