Average Error: 6.2 → 1.8
Time: 30.2s
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 r33555975 = 2.0;
        double r33555976 = x;
        double r33555977 = y;
        double r33555978 = r33555976 * r33555977;
        double r33555979 = z;
        double r33555980 = t;
        double r33555981 = r33555979 * r33555980;
        double r33555982 = r33555978 + r33555981;
        double r33555983 = a;
        double r33555984 = b;
        double r33555985 = c;
        double r33555986 = r33555984 * r33555985;
        double r33555987 = r33555983 + r33555986;
        double r33555988 = r33555987 * r33555985;
        double r33555989 = i;
        double r33555990 = r33555988 * r33555989;
        double r33555991 = r33555982 - r33555990;
        double r33555992 = r33555975 * r33555991;
        return r33555992;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r33555993 = 2.0;
        double r33555994 = y;
        double r33555995 = x;
        double r33555996 = r33555994 * r33555995;
        double r33555997 = z;
        double r33555998 = t;
        double r33555999 = r33555997 * r33555998;
        double r33556000 = r33555996 + r33555999;
        double r33556001 = a;
        double r33556002 = b;
        double r33556003 = c;
        double r33556004 = r33556002 * r33556003;
        double r33556005 = r33556001 + r33556004;
        double r33556006 = i;
        double r33556007 = r33556003 * r33556006;
        double r33556008 = r33556005 * r33556007;
        double r33556009 = r33556000 - r33556008;
        double r33556010 = r33555993 * r33556009;
        return r33556010;
}

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
Target1.8
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 6.2

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

  3. Applied associate-*l*1.8

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

  4. Final simplification1.8

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

Reproduce

herbie shell --seed 2019172 
(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))))