Average Error: 6.4 → 1.7
Time: 7.3s
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 r809279 = 2.0;
        double r809280 = x;
        double r809281 = y;
        double r809282 = r809280 * r809281;
        double r809283 = z;
        double r809284 = t;
        double r809285 = r809283 * r809284;
        double r809286 = r809282 + r809285;
        double r809287 = a;
        double r809288 = b;
        double r809289 = c;
        double r809290 = r809288 * r809289;
        double r809291 = r809287 + r809290;
        double r809292 = r809291 * r809289;
        double r809293 = i;
        double r809294 = r809292 * r809293;
        double r809295 = r809286 - r809294;
        double r809296 = r809279 * r809295;
        return r809296;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r809297 = 2.0;
        double r809298 = x;
        double r809299 = y;
        double r809300 = r809298 * r809299;
        double r809301 = z;
        double r809302 = t;
        double r809303 = r809301 * r809302;
        double r809304 = r809300 + r809303;
        double r809305 = a;
        double r809306 = b;
        double r809307 = c;
        double r809308 = r809306 * r809307;
        double r809309 = r809305 + r809308;
        double r809310 = i;
        double r809311 = r809307 * r809310;
        double r809312 = r809309 * r809311;
        double r809313 = r809304 - r809312;
        double r809314 = r809297 * r809313;
        return r809314;
}

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 2019353 
(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))))