Average Error: 0.2 → 0.2
Time: 1.9s
Precision: 64
\[\left(x \cdot 3\right) \cdot y - z\]
↓
\[\left(x \cdot 3\right) \cdot y - z\]
\left(x \cdot 3\right) \cdot y - z
↓
\left(x \cdot 3\right) \cdot y - z
double f(double x, double y, double z) {
        double r865436 = x;
        double r865437 = 3.0;
        double r865438 = r865436 * r865437;
        double r865439 = y;
        double r865440 = r865438 * r865439;
        double r865441 = z;
        double r865442 = r865440 - r865441;
        return r865442;
}
↓
double f(double x, double y, double z) {
        double r865443 = x;
        double r865444 = 3.0;
        double r865445 = r865443 * r865444;
        double r865446 = y;
        double r865447 = r865445 * r865446;
        double r865448 = z;
        double r865449 = r865447 - r865448;
        return r865449;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.2
Target0.1
Herbie0.2
\[x \cdot \left(3 \cdot y\right) - z\]

Derivation

  1. Initial program 0.2

    \[\left(x \cdot 3\right) \cdot y - z\]

  2. Final simplification0.2

    \[\leadsto \left(x \cdot 3\right) \cdot y - z\]

Reproduce

herbie shell --seed 2020100 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, B"
  :precision binary64

  :herbie-target
  (- (* x (* 3 y)) z)

  (- (* (* x 3) y) z))