Average Error: 6.4 → 1.7
Time: 5.7s
Precision: 64
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)\]
↓
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]
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 r735386 = 2.0;
        double r735387 = x;
        double r735388 = y;
        double r735389 = r735387 * r735388;
        double r735390 = z;
        double r735391 = t;
        double r735392 = r735390 * r735391;
        double r735393 = r735389 + r735392;
        double r735394 = a;
        double r735395 = b;
        double r735396 = c;
        double r735397 = r735395 * r735396;
        double r735398 = r735394 + r735397;
        double r735399 = r735398 * r735396;
        double r735400 = i;
        double r735401 = r735399 * r735400;
        double r735402 = r735393 - r735401;
        double r735403 = r735386 * r735402;
        return r735403;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r735404 = 2.0;
        double r735405 = x;
        double r735406 = y;
        double r735407 = r735405 * r735406;
        double r735408 = z;
        double r735409 = t;
        double r735410 = r735408 * r735409;
        double r735411 = r735407 + r735410;
        double r735412 = a;
        double r735413 = b;
        double r735414 = c;
        double r735415 = r735413 * r735414;
        double r735416 = r735412 + r735415;
        double r735417 = i;
        double r735418 = r735414 * r735417;
        double r735419 = r735416 * r735418;
        double r735420 = r735411 - r735419;
        double r735421 = r735404 * r735420;
        return r735421;
}

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

Original6.4
Target1.7
Herbie1.7
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]

Derivation

  1. Initial program 6.4

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

  3. Applied associate-*l*1.7

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

  4. Final simplification1.7

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

Reproduce

herbie shell --seed 2020024 
(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))))