Average Error: 6.3 → 1.8
Time: 11.1s
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 r406564 = 2.0;
        double r406565 = x;
        double r406566 = y;
        double r406567 = r406565 * r406566;
        double r406568 = z;
        double r406569 = t;
        double r406570 = r406568 * r406569;
        double r406571 = r406567 + r406570;
        double r406572 = a;
        double r406573 = b;
        double r406574 = c;
        double r406575 = r406573 * r406574;
        double r406576 = r406572 + r406575;
        double r406577 = r406576 * r406574;
        double r406578 = i;
        double r406579 = r406577 * r406578;
        double r406580 = r406571 - r406579;
        double r406581 = r406564 * r406580;
        return r406581;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r406582 = 2.0;
        double r406583 = x;
        double r406584 = y;
        double r406585 = r406583 * r406584;
        double r406586 = z;
        double r406587 = t;
        double r406588 = r406586 * r406587;
        double r406589 = r406585 + r406588;
        double r406590 = a;
        double r406591 = b;
        double r406592 = c;
        double r406593 = r406591 * r406592;
        double r406594 = r406590 + r406593;
        double r406595 = i;
        double r406596 = r406592 * r406595;
        double r406597 = r406594 * r406596;
        double r406598 = r406589 - r406597;
        double r406599 = r406582 * r406598;
        return r406599;
}

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

Original6.3
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 6.3

    \[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)\]
  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 2019304 
(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))))