Average Error: 5.9 → 1.7
Time: 30.4s
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 r35325103 = 2.0;
        double r35325104 = x;
        double r35325105 = y;
        double r35325106 = r35325104 * r35325105;
        double r35325107 = z;
        double r35325108 = t;
        double r35325109 = r35325107 * r35325108;
        double r35325110 = r35325106 + r35325109;
        double r35325111 = a;
        double r35325112 = b;
        double r35325113 = c;
        double r35325114 = r35325112 * r35325113;
        double r35325115 = r35325111 + r35325114;
        double r35325116 = r35325115 * r35325113;
        double r35325117 = i;
        double r35325118 = r35325116 * r35325117;
        double r35325119 = r35325110 - r35325118;
        double r35325120 = r35325103 * r35325119;
        return r35325120;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r35325121 = 2.0;
        double r35325122 = y;
        double r35325123 = x;
        double r35325124 = r35325122 * r35325123;
        double r35325125 = z;
        double r35325126 = t;
        double r35325127 = r35325125 * r35325126;
        double r35325128 = r35325124 + r35325127;
        double r35325129 = a;
        double r35325130 = b;
        double r35325131 = c;
        double r35325132 = r35325130 * r35325131;
        double r35325133 = r35325129 + r35325132;
        double r35325134 = i;
        double r35325135 = r35325131 * r35325134;
        double r35325136 = r35325133 * r35325135;
        double r35325137 = r35325128 - r35325136;
        double r35325138 = r35325121 * r35325137;
        return r35325138;
}

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

Original5.9
Target1.7
Herbie1.7
\[2.0 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]

Derivation

  1. Initial program 5.9

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

  3. Applied associate-*l*1.7

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

  4. Final simplification1.7

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

Reproduce

herbie shell --seed 2019158 
(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))))