Average Error: 6.2 → 1.8
Time: 28.7s
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 r31600581 = 2.0;
        double r31600582 = x;
        double r31600583 = y;
        double r31600584 = r31600582 * r31600583;
        double r31600585 = z;
        double r31600586 = t;
        double r31600587 = r31600585 * r31600586;
        double r31600588 = r31600584 + r31600587;
        double r31600589 = a;
        double r31600590 = b;
        double r31600591 = c;
        double r31600592 = r31600590 * r31600591;
        double r31600593 = r31600589 + r31600592;
        double r31600594 = r31600593 * r31600591;
        double r31600595 = i;
        double r31600596 = r31600594 * r31600595;
        double r31600597 = r31600588 - r31600596;
        double r31600598 = r31600581 * r31600597;
        return r31600598;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r31600599 = 2.0;
        double r31600600 = y;
        double r31600601 = x;
        double r31600602 = r31600600 * r31600601;
        double r31600603 = z;
        double r31600604 = t;
        double r31600605 = r31600603 * r31600604;
        double r31600606 = r31600602 + r31600605;
        double r31600607 = a;
        double r31600608 = b;
        double r31600609 = c;
        double r31600610 = r31600608 * r31600609;
        double r31600611 = r31600607 + r31600610;
        double r31600612 = i;
        double r31600613 = r31600609 * r31600612;
        double r31600614 = r31600611 * r31600613;
        double r31600615 = r31600606 - r31600614;
        double r31600616 = r31600599 * r31600615;
        return r31600616;
}

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 2019169 
(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))))